Solution:
Quantity production (or profit maximization) occurs where price equals marginal cost (MC). So, from the tables in Problem Set 6A, we can easily solve for the questions in second image.
With each worker cost of $54 and total fixed costs of $30, we refer to the table 3/7 in problem set 6A. So,
1. At market price of $2.70, the firm will produce at point where marginal cost = $2.70. From table, this results in total product of 20 units or 65 units. The one giving higher profit, or lower loss will be chosen. That occurs when quantity = 65 units.
2. So, total revenue, TR = quantity*price = 65*2.7 = $175.5. Also, at this quantity, total cost, TC = $192
Since, total revenue < total cost, it means that firm will make loss of TC - TR = 192 - 175.5 = $16.5.
3. Similarly, at market price of $2.41, the firm will produce at point where marginal cost = $2.41. From table, this results in total product of somewhere between 45 and 65 units of output. Let's say output produced = 55 units
4. Total revenue = 2.41*55 = $132.55 and total cost (from table) = somewhere between 138 and 192. So, clearly, loss will occur, though exact magnitude is hard to find.
5. At market price of $6.00, the firm will produce at point where marginal cost = $6.00. From table, this results in total product of 104 units.
6. Total revenue = 6*104 = $624, total cost at that level = $354. So, now since total revenue exceeds total cost, firm makes positive profit of (624 - 354 =) $270
7. At market price of $6.75, total quantity of 112 units will be produced.
8. At market price of $9.00, firm's output will be 118 units, so total revenue = 118*9 = $1,062. Total cost = $462. Clearly, the firm makes huge economic profit.
9. At market price = $13.50, Tony should be producing 122 units to maximize profit, while currently he is producing 125 units. Thus, in order to maximize profit, he should (C) decrease output.
Problem Set 6A: Production and Costs In the following questions, round to two decimal places (-2)...
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