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Producers and Profit Maximization

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Producers and Profit Maximization
In economic theory, people play two main roles in the market. As we have just seen, they are consumers. The other main role is producers. For producers, the economic problem is to maximize profits. The key decisions are which outputs to produce, how much of each output to produce, and which inputs to use to produce the outputs. We will take these decisions one at at time.
How Much Output?
Let us return to Josh's lawn mowing business, and focus on the decision of how many lawns to mow each day. To make things simple, suppose he already has leased a lawnmower and a pickup truck. Also, to avoid confusing the output decision with Josh's labor-leisure choice, let us assume that all of the labor is done by two hired workers.
Now, Josh has to decide how many hours for which to hire the workers, which in turn will determine how many lawns his company mows. For example, if each worker works 5 hours, then the total hours worked will be 10 and the total number of lawns mowed will be, say, 9. The key factors in Josh's decision will be worker productivity, the wage rate, and the price he can charge for mowing lawns.
Suppose that Josh receives $18 for each lawn that his workers mow. Finally, suppose that his workers' lawnmowing productivity is as follows. Total Hours Worked Per Day | Lawns Mowed Per Day | Cost
($11 per hour) | Revenue
($18 per lawn) | 8 | 7 | $88 | $126 | 10 | 9 | $110 | $162 | 12 | 11 | $132 | $198 | 14 | 13 | $154 | $234 | 16 | 14 | $176 | $252 | 18 | 15 | $198 | $270 | 20 | 16 | $220 | $288 | 22 | 16 | $242 | $288 |
How many hours should Josh have his employees work? We look at profit, which is revenue minus cost, to try to find a maximum. The maximum profit is at 14 hours of work, mowing 13 lawns, with revenue of $234, cost of $154, and profit of $80.
Another way to find the point of maximum profit

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