The table below shows the total cost (TC) and marginal cost (MC) for Baker Street, a perfectly competitive firm producing different quantities of apple pies. The market price of apple pies is $8.00 per pie. a. Fill in the marginal revenue (MR) and average revenue (AR) columns. Instructions: Round your answers to two decimal places. Baker Street's Costs and Revenues Quantity (apple pies) TC (dollars) MC (dollars) MR (dollars) AR (dollars) 20 $115.00 $5.00 $ $ 25 137.50 4.50 30 162.50 5.00 35 192.50 6.00 40 232.50 8.00 45 282.50 10.00 Instructions: Enter your answers as a whole number. b. At the market price of $8.00 per apple pie, how many apple pies should Baker Street make? apple pies c. If the market price for apple pies were to rise to $10.00 per apple pie, how many apple pies should Baker Street make? apple pies
a.
Quantity, Q | TC | MC | Total Revenue, TR = P*Q = 8Q | Marginal Revenue, MR = Change in TR/Change in Q | Average Revenue, AR = TR/Q |
20 | 115 | 5 | 8*20 = 160 | 8 | 160/20 = 8 |
25 | 137.5 | 4.5 | 8*25 = 200 | (200-160)/(25-20) = 40/5 = 8 | 200/25 = 8 |
30 | 162.5 | 5 | 240 | 8 | 240/30 = 8 |
35 | 192.5 | 6 | 280 | 8 | 8 |
40 | 232.5 | 8 | 320 | 8 | 8 |
45 | 282.5 | 10 | 360 | 8 | 8 |
b. P = MC = $8.00 for Q = 40. So, the profit maximizing baker should make 40 pies at a price of $8.00
c. P = MC = $10.00 for Q = 45. So, the profit maximizing baker should make 45 pies at a price of $10.00
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