Consider the tabled revenue and cost data to the right. Answer the questions that follow. Inverse Demand:
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Consider the tabled revenue and cost data to the right. Answer the questions that follow. Inverse Demand: P = 130 - 0.08333333 Q | |||||||||
Quantity | Price=AR | MR | MC | ATC | profit | ||||
A. What is the profit maximizing level of output? | 0 | 130.0 | 130.0 | 147.1 | 146.6 | 0 | |||
500 | 125.8 | 121.7 | 128.9 | 137.9 | -6033.33 | ||||
B. What is the total profit at the profit maximizing level? | 1000 | 121.7 | 113.3 | 112.1 | 129.1 | -7433.33 | |||
1500 | 117.5 | 105.0 | 97 | 120.9 | -5100 | ||||
C. What is the "mark-up" on marginal cost, the P/MC ratio at Qpmax? | 2000 | 113.3 | 96.7 | 83.3 | 113.2 | 266.6667 | |||
2500 | 109.2 | 88.3 | 71.2 | 106 | 7916.667 | ||||
D. What is the implied own price elasticity of demand? {Ed = MUp/(1-MUp)} | 3000 | 105.0 | 80.0 | 60.7 | 99.3 | 17100 | |||
3500 | 100.8 | 71.7 | 51.7 | 93.1 | 27066.67 | ||||
E. At what level of output does price equal marginal cost? | 4000 | 96.7 | 63.3 | 44.3 | 87.5 | 36666.67 | |||
4500 | 92.5 | 55.0 | 38.4 | 82.3 | 45900 | ||||
F. Using the "triangle area method," estimate Dead Weight Loss. | 5000 | 88.3 | 46.7 | 34 | 77.7 | 53166.67 | |||
5500 | 84.2 | 38.3 | 31.2 | 73.6 | 58116.67 | ||||
G. What is the value of the Lerner index: L=(P - MC)/P | 6000 | 80.0 | 30.0 | 30 | 70 | 60000 | |||
6500 | 75.8 | 21.7 | 30.3 | 66.9 | 58066.67 | ||||
H. What is -1/L? | 7000 | 71.7 | 13.3 | 32.1 | 64.4 | 50866.67 | |||
What is the ratio DWL at "fair" regulated price to DWL with monopoly pricing? | 7500 | 67.5 | 5.0 | 35.5 | 62.3 | 39000 | |||
8000 | 63.3 | -3.3 | 40.5 | 60.8 | 20266.67 | ||||
8400 | 60 | -10 | 45.7 | 60 | 0 | ||||
8500 | 59.2 | -11.7 | 47 | 59.8 | -5383.33 | ||||
9000 | 55.0 | -20.0 | 55 | 59.3 | -38700 | ||||
9500 | 50.8 | -28.3 | 64.6 | 59.3 | -80433.3 | ||||
10000 | 46.7 | -36.7 | 75.7 | 59.8 | -131333 | ||||
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