Where the future gets built
Two cities are growing. In one, more people want to live there, and the city builds: apartments above shops, townhomes near transit, taller buildings where the jobs are. In the other, more people want to live there, and the city says no: zoning fights, parking mandates, height limits, neighborhood vetoes, endless hearings. Both cities are getting the same signal from the market, but only one of them lets its land respond to it.
The second city isn't run by villains. The people who pack its hearings are mostly homeowners worried about traffic, parking, crowded schools, and streets they love changing shape. Their position has a name: NIMBYism, short for "not in my backyard." Hardly anyone at the hearing is against housing in general. They are against this building, on this block. Each objection may be reasonable on its own, but when objections like these add up across a whole city, almost nothing new gets built.
The people who pay for that are not in the room. They are the nurse who would have rented in the new building, the young family priced out to a long commute, the worker who never takes the better job across the country because there is nowhere she can afford to live. It's also worth noticing what the first city built. Instead of only adding houses at the edge of town, it put more homes on the same land, close to where people wanted to be.
Land isn't the only input that gets its value from somewhere else. A commercial pizza oven is worth a lot to a busy pizzeria. If the neighborhood empties out and customers stop coming, the oven is worth much less, even though it bakes just as well as before. What made it valuable was the demand for pizza.
Land, ovens, trucks, and buildings are inputs: the things firms buy so they can make the things we buy. A vacant lot can become housing, a warehouse can become a studio, and savings can become machines. The economy is not a museum of current uses; it is a system for discovering better ones. So what decides what a firm will pay for an input? And why do rents climb and climb in one city and stay within reach in the other?
Every market so far has been a market for things you buy: meals, apartments, phones. Behind each one sits a second set of markets, where firms do the buying. In a factor market, the roles flip: firms demand inputs, and households and other resource owners supply them. A bakery sells bread in the product market, but it hires bakers, leases ovens, rents a storefront, and borrows money in factor markets. Economists sort inputs into three families: labor (human effort and skill), capital (produced tools like ovens, trucks, and software), and land (locations and natural resources).
The price of an input is often a rental rate: the price of using it for a while. The wage is the rental rate on an hour of work; the lease payment is the rental rate on an oven; rent is the rental rate on a storefront. Even a firm that owns its oven pays a rental rate in the economist's sense, because the oven could have been leased to someone else or sold. That is the opportunity cost from Chapter 9, applied to inputs.
The most important idea in this chapter is that firms don't want inputs for their own sake. A pizzeria wants an oven because its customers want pizza. Demand for an input is derived demand: it comes from demand for the thing the input helps make. Demand for delivery drivers comes from demand for delivered meals; demand for downtown land comes from people wanting to live, work, and shop downtown; demand for nurses comes from patients. When customers want more of the output, firms want more of the inputs that make it. When customers stop wanting the output, demand for the workers who make it falls, no matter how hard those workers work.
In a product market, firms sell and households buy. In a factor market, firms buy inputs (labor, capital, land) from households and other resource owners. Example: more demand for meals raises demand for cooks, because the cooks' value comes from the meals they make.
How much will a firm pay for one more worker? As with every decision in this course, the answer is found at the margin. Rather than asking what its whole workforce is worth, the firm asks what the next worker would add.
That question has two parts. First, how much extra output does the next worker produce? That is the marginal product (MP). Second, how much extra revenue does the firm get from selling that output? Multiplying the two gives the worker's marginal revenue product (MRP):
MP = change in total product ÷ change in labor
MRP = MP × MR
For a firm in a perfectly competitive product market, MR = P, so MRP = MP × P. A smoothie shop sells each smoothie for $5. If the next worker adds 18 smoothies a day, that worker's MRP is 18 × $5 = $90 a day. (A firm with market power has to cut its price to sell more, so its MR is below the price and its MRP is smaller. That case comes in Unit 4.)
| Workers | Total product | MP | P = MR | MRP |
|---|---|---|---|---|
| 0 | 0 | — | $5 | — |
| 1 | 20 | 20 | $5 | $100 |
| 2 | 38 | 18 | $5 | $90 |
| 3 | 52 | 14 | $5 | $70 |
| 4 | 62 | 10 | $5 | $50 |
| 5 | 68 | 6 | $5 | $30 |
| 6 | 70 | 2 | $5 | $10 |
Total product keeps rising as workers are added, but each new worker adds less than the one before. This is the diminishing marginal product from Chapter 9, now seen from the hiring side. The counter is the same size, there is one blender, and the sixth worker mostly waits for it. Since MRP is MP times a fixed price, MRP falls along with MP. That falling MRP is why a firm's demand for labor slopes downward.
Chapter 9 used diminishing marginal product to explain why costs eventually rise. This box shows the same idea in a table. A firm's production function is the link between its inputs and the most output they can make, and a total product table is a production function written out. The smoothie table starts where MP is already falling, but in many workplaces the first few hires raise each other's output: one takes orders while another bakes, and each gets faster by specializing. Here is a bakery with one oven.
| Workers | Total product (loaves) | MP | AP |
|---|---|---|---|
| 0 | 0 | — | — |
| 1 | 10 | 10 | 10 |
| 2 | 24 | 14 | 12 |
| 3 | 36 | 12 | 12 |
| 4 | 44 | 8 | 11 |
| 5 | 50 | 6 | 10 |
| 6 | 54 | 4 | 9 |
| 7 | 52 | −2 | 7.4 |
Diminishing returns set in after the second worker. MP rises from 10 to 14, then falls from the third worker on. "Sets in" means the first point where the next worker adds less than the one before.
MP can be negative. The seventh baker mostly gets in the way, and output falls from 54 to 52: MP = −2. Total product is still positive; only the change is negative. No firm would pay to hire that worker.
Average product is output per worker: AP = total product ÷ workers. With 5 bakers, AP = 50 ÷ 5 = 10 loaves. MP pulls AP the way one new grade pulls your average: when the next worker's MP is above AP, AP rises; when it is below, AP falls.
MP is the mirror image of marginal cost. If a baker costs $60 a day, each loaf the second baker adds costs $60 ÷ 14 ≈ $4.29, and each loaf the sixth baker adds costs $60 ÷ 4 = $15. When MP rises, MC falls; when MP falls, MC rises. MC = wage ÷ MP, which is the U-shape of marginal cost from Chapter 9, seen from the hiring side.
Hiring the third worker raises total product from 38 to 52 smoothies a day. Each smoothie sells for $5.
Total product rises from 62 to 68, so MP = 6 and MRP = 6 × $5 = $30. MRP falls because marginal product falls: with a fixed counter and one blender, each added worker adds less output.
Chapter 10 gave firms a rule for output: produce until MR = MC. Hiring follows the same logic. A worker is worth hiring if she adds at least as much revenue as she costs. The cost side is the marginal resource cost (MRC): the extra cost of hiring one more worker.
Hire if MRP > MRC. Stop before MRP < MRC. The profit-maximizing firm hires up to the point where MRP = MRC, or as close as it can get without hiring a worker who costs more than she adds.
Most firms are a small part of a large labor market. A smoothie shop can hire one more worker or ten without changing the going wage in its town. It is a wage taker, and for a wage taker, every extra worker costs exactly the market wage. So MRC = wage, and the rule becomes: hire until MRP equals the wage.
Use the MRP column from the smoothie table: $100, $90, $70, $50, $30, $10. The market wage is $50 a day.
The rule isn't just for labor. Every input gets the same test: hire, lease, or buy one more unit if its MRP is at least its price. Suppose a second oven would let a pizzeria sell 40 more pizzas a week at $12 each. The oven's MRP is 40 × $12 = $480 a week. If it can be leased for $300 a week, lease it. If the lease costs $550, don't. The same comparison decides whether a farmer rents another field or a store leases a bigger space. The next two concepts apply it to the two inputs that behave differently from labor: capital, which takes time to pay off, and land, which can't be made.
The hiring rule and Chapter 10's output rule are the same decision seen from two sides. The fourth smoothie worker costs $50 a day and adds 10 smoothies, so each of her smoothies costs $50 ÷ 10 = $5 to make. That is the marginal cost of a smoothie, and it equals the $5 price. Hiring until MRP = wage (P × MP = wage) is the same as producing until P = wage ÷ MP = MC. A firm that hires the right number of workers is automatically producing the right amount of output.
Hire until MRP = MRC; for a wage taker, until MRP = the wage. At any given wage, the firm hires workers until the last one's MRP equals that wage, so each point on the MRP curve gives the number of workers demanded at a wage. That is exactly what a demand curve is.
Capital is the input you have to wait for. An oven, a delivery van, or a warehouse has to be built before it can produce anything, and building it means using resources today that could have gone to something people would enjoy today. Someone has to save, giving up spending now, so that the economy can make tools that pay off later.
That waiting has a price: the interest rate, which is the price of using money for a period of time. It is the rental rate on funds. A firm that borrows $100,000 at 12% pays $12,000 a year for the use of it. A firm that uses its own $100,000 pays too, just less visibly: that money could have been lent out at 12%, so using it has an implicit cost of $12,000 a year. This is the opportunity cost of the firm's own funds, from Chapters 9 and 10. Accountants don't record it, but economists count it.
So a firm applies the same marginal test it uses for workers. An investment is worth making if what it adds beats what the money costs. Economists usually state both sides as percentages. The rate of return is the project's net gain as a percentage of what it costs to buy. The net gain is the revenue the project brings in after its operating costs, minus the cost of the project itself: a $100,000 project that brings in $120,000 nets $20,000, a 20% return. If that return is at least the interest rate, invest. If not, the money does better somewhere else.
| Project | Cost | Revenue it adds, after operating costs | Rate of return |
|---|---|---|---|
| A | $100,000 | $120,000 | 20% |
| B | $100,000 | $116,000 | 16% |
| C | $100,000 | $113,000 | 13% |
| D | $100,000 | $110,000 | 10% |
| E | $100,000 | $107,000 | 7% |
| F | $100,000 | $104,000 | 4% |
Project C costs $100,000 and adds $113,000 of revenue, after operating costs, before it wears out. The interest rate is 12%.
In everyday speech, a business "raising capital" is raising money. In economics, capital means produced tools: the oven, the forklift, the delivery van, the spreadsheet software. The money used to buy them is financial capital.
The distinction matters because only one of them makes pizza. A firm can have plenty of money and no ovens, and its output is zero. The interest rate is the price of financial capital; the rate of return measures what the physical capital adds.
Capital also does something for every other input. A worker with a backhoe moves more dirt in an hour than a worker with a shovel; a nurse with better diagnostic equipment helps more patients; an accountant with good software closes the books in a day instead of a week. Better tools raise workers' marginal product, and so their MRP. That is a large part of why an hour of work pays so much more in some countries than in others: workers there have far more capital and better technology to work with. Over the long run, saving and investment are how wages rise.
The surest way to afford higher pay is to raise what each hour produces. Invest in tools, training, and processes that make your people more productive. A firm that competes for workers by making them more valuable keeps the good ones.
Invest in a project if its rate of return is at least the interest rate. A higher interest rate raises the cost of the funds, so fewer projects clear the bar. The firm funds fewer of them, and the quantity of capital demanded falls.
An acre of Wyoming ranchland sells for a couple of thousand dollars. An acre in midtown Manhattan can sell for tens of millions. The soil is about the same; the difference is the location. You can build more ovens, trucks, and software, and you can train more nurses, but you cannot build another block of midtown Manhattan or another mile of California coastline. Land is different from most inputs because the supply of a particular location is fixed. Its supply curve is vertical: the same number of acres exist whether rent is high or low.
Chapter 4 showed what happens when a city caps rents: the shortage gets frozen in place. This chapter covers the other half of that story, which is why rents rise in the first place. When demand for a fixed location rises, the quantity can't respond, so all of the pressure goes into the price.
Economists call that extra payment economic rent, and it is one of the oldest ideas in economics. Adam Smith sorted income into three kinds: wages, earned by working; profit, earned by running a business and bearing its risks; and rent, earned by owning something scarce and letting others use it. Economists still use the word that way, and it covers far more than the check a tenant sends a landlord.
Economic rent is any payment to an input above what it would take to keep it in its current use. Take a downtown parking lot. Suppose the owner would keep renting out the spaces for as little as $500 a month, because that is what the land would earn in its next-best use. Downtown drivers compete for the spaces and pay $10,000 a month. The $9,500 above that $500 is economic rent. The owner receives it because the location is scarce and people want access to it, not because she works harder or spends more.
The idea isn't limited to land. You can train more basketball players, but you can't make another LeBron James, with his rare mix of size, skill, and fame. If he would keep playing for $100,000 a year, everything he is paid above that is economic rent. In short, economic rent is payment above opportunity cost, and it shows up wherever supply can't respond: a location, a rare talent, the Mona Lisa. When the supply curve is vertical (perfectly inelastic), every rise in demand becomes rent.
That makes rent ethically trickier than wages or profit. Most people see wages and profit as earned: you work, or you take a risk, and the payoff matches. Rent often comes from controlling something scarce instead, though that doesn't automatically make it unfair. The lot's owner may have paid a fair price for it, and the high rent is the signal that tells everyone how valuable that land is. But it does raise fair questions: who controls the scarce thing, how they came to control it, and whether the scarcity is natural or created.
Chapter 11 showed that economic profit draws entry until it is gone. Rent isn't competed away like that, because entrants can't copy the scarce thing. Suppose a coffee shop on the busiest corner in town earns $3,000 a month more than identical shops a block away. Rivals can't open on that same corner, because there is only one. So when the lease comes up, the landlord can raise the rent by nearly $3,000 and the shop will still stay. The corner's advantage ends up as rent to whoever owns the corner, and the coffee shop is back to zero economic profit.
Sometimes people create scarcity on purpose. Rent-seeking is spending effort and money to capture rent through political favors instead of by producing more: lobbying for a cap on licenses, a tariff, or a rule written to keep rivals out. The firm that wins the favor gains, but nothing new gets made, and everything spent winning it is a cost to everyone else. This is the same protected barrier Chapter 11 called the chain across the river, viewed from the side of the people who lobby for it.
There is one catch in the Manhattan example. The land is fixed, but the space on it isn't. A city can't create another downtown lot, but it can allow a taller building on it, or apartments where only single-family homes were allowed, or a backyard cottage behind an existing house. Building up and building more densely increases the supply of housing and office space even when the land underneath can't grow.
Where people most want to live, the land near the jobs is the fixed input, so the only way to add homes there is to put more of them on each lot. Suppose a lot near downtown costs $1,000,000. If one house is built on it, that home carries $1,000,000 of land cost. With four townhomes, each carries $250,000, and with a 40-unit apartment building, each carries $25,000. The land costs the same; density spreads it across more households. Building outward at the edge of a metro area helps too, but it adds homes where land is cheap and far from the jobs, which means longer commutes and little relief where demand is highest. The housing debate is mostly a density debate.
That is where zoning comes in. Rules that ban apartments, require large lots, cap building heights, mandate parking, or make permits slow and uncertain all make housing supply steeper: less able to respond when more people want to live somewhere. This is the NIMBYism from the start of the chapter, written into law. Economists across the political spectrum broadly agree that tight limits on building raise housing costs.
One proposed fix is a right to build. In many cities, every project needs permission, and every hearing is another chance to say no. A right to build flips the default: unless there is a clear and significant reason to block it, an owner who meets written standards may build homes and sell or rent them. The argument rests on a distinction about rights. Neighbors have the right to buy and sell, to vote, and to speak at a hearing. What they lack, on this view, is a right to stop a deal between two other people, a landowner and the family who wants to live there, just because they would rather it didn't happen.
None of this makes the local concerns silly. Traffic is real. So are crowded schools, strained pipes, and environmental worries, and so is the sense of loss when a familiar neighborhood changes. Economists don't claim that every project is a good one. Their objection is that blocking nearly all new building is an expensive and exclusionary way to handle those concerns. It protects people who already own homes, and pushes out renters, newcomers, young families, and workers who would have moved toward better jobs.
Allow more homes where people want to live, especially near jobs and transit. Let land shift from lower-valued uses to higher-valued ones instead of freezing today's uses by default. Solve real congestion and infrastructure problems directly, rather than treating them as reasons to ban housing. Remember who pays for scarcity: renters, newcomers, young families, and people who never get to move where the opportunity is. When in doubt, let them build.
Restrictions make housing supply steeper, so when demand rises, quantity can't expand much and the pressure goes mainly into higher rent. Economic rent is any payment to an input above what it would take to keep it in its current use; for fixed land, almost all of a rent increase is economic rent.
The moves you can now make
Four questions at exam level: MRP from a table, the hiring rule, an investment decision, and a factor-market shift. Try each on paper first, then reveal.
Type A · calculate MP and MRP
A firm sells its output in a perfectly competitive market for $8. When it goes from 3 to 4 workers, total product rises from 54 to 64 units. Calculate the marginal product and marginal revenue product of the fourth worker.
Type B · the hiring rule
A wage-taking firm pays $80 a day. Its first six workers have MRPs of $140, $118, $96, $80, $62, and $35. How many workers should it hire? What if the wage falls to $60?
At $80, hire 4: the first three have MRP above $80, the fourth's MRP equals $80, and the fifth's ($62) is below it. At $60, hire 5: the fifth worker's $62 now covers her cost, and the sixth's $35 doesn't. A lower wage moves the firm down its MRP curve, its demand curve for labor, to a larger quantity.
Type C · investment and the interest rate
A firm can fund any of five one-year projects. Each costs $50,000, and their expected rates of return are 18%, 14%, 11%, 8%, and 5%. The interest rate is 10%. Which projects should it fund? What changes if the interest rate rises to 12%, and why?
Type D · derived demand and fixed supply
Demand for restaurant meals in a city rises sharply. Explain what happens to the demand for commercial ovens and to the wage of cooks. Then, using a correctly labeled graph, show what happens to the rent on downtown land, where restaurants want to locate.
Demand for ovens and cooks is derived from demand for meals, so both demands shift right: restaurants want more ovens at every rental rate and more cooks at every wage, and the cooks' wage rises. For downtown land, put rent on the vertical axis and quantity of land on the horizontal. Supply is vertical because the land is fixed. Demand shifts right, so rent rises while the quantity of land stays the same. (Restaurant space can still grow if taller buildings are allowed.)
Put the moves together
A firm sells its output in a perfectly competitive product market at $6 per unit and hires workers in a perfectly competitive labor market at $72 per day. Its total product schedule is: 0 workers, 0 units; 1 worker, 18; 2 workers, 34; 3 workers, 46; 4 workers, 56; 5 workers, 63; 6 workers, 67.
(a) MP = 46 − 34 = 12 units. MRP = 12 × $6 = $72.
(b) Hire until MRP = MRC. For a firm that takes the market wage, hire until MRP equals the wage.
(c) MRPs are $108, $96, $72, $60, $42, $24. Hire 3 workers: the third worker's MRP ($72) equals the wage, and the fourth worker's MRP ($60) is below it.
(d) Dollars on the vertical axis, workers on the horizontal. A downward-sloping MRP curve, a horizontal wage line at $72 (which is also MRC), and the quantity hired, 3, where they meet.
(e) Demand for labor is derived demand. A higher product price raises each worker's MRP (MP × P), so the MRP curve, the firm's labor demand, shifts right.
(f) The machine is capital that complements labor: it raises each worker's marginal product. Since MRP = MP × P, MRP rises at every quantity of labor, so the MRP curve shifts right. With the wage unchanged at $72, more workers now have MRP at or above the wage, so the firm hires more workers.
Ten independent points. A wrong MRP in (a) doesn't cost the (c) points if the hiring decision follows correctly from it.
Markets price every input at the margin. A firm pays for a worker, a machine, or an acre up to what the next unit adds, interest puts a price on waiting for capital to pay off, and fixed land turns rising demand into rising rent.
we would let capital and land move to wherever they add the most value: far more room to build homes and offices where people want to be, and no subsidies propping up projects that can't beat the cost of the money.
Time has a price. Money you borrow costs interest, and money you hold could be earning it, so a big purchase or a plan should beat that bar before you commit to it.
Give your people better tools. Capital that makes each hour more productive raises MRP, and that is what makes higher pay possible.
Chapter
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