ake relevant plots of equations (1) and (2) se the plots in (a) and plots of isoprofit curves valuing $34,000 and $60,000 for the two firms to entify any differences in the shape of the two firms’ isoprofit curves. Can you provide an planation for any differences that may exist? se the information on both firms to assess whether the higher isoprofit curves would always get oser to the average cost curve as quantity increases. Explain why or why not.

Managerial Economics: Applications, Strategies and Tactics (MindTap Course List)
14th Edition
ISBN:9781305506381
Author:James R. McGuigan, R. Charles Moyer, Frederick H.deB. Harris
Publisher:James R. McGuigan, R. Charles Moyer, Frederick H.deB. Harris
ChapterB: Differential Calculus Techniques In Management
Section: Chapter Questions
Problem 5E
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This question deals with cost curves and isoprofit curves
Keep in mind that the formula for a firm's cost function is:
TC = FC + C(Q)
TC → Total Costs:
FC → Fixed Costs:
C(Q) → Cost of production*Quantity produced → also known as Variable Costs
Q1: Firms A and B are two firms supplying products in two separate differentiated goods markets.
Equations (1) and (2) give the total cost functions of the two firms:
- Firm A: TC = 2Q --- Equation (1)
- Firm B: TC = 10 + 2Q --- Equation (2)
Each firm has the ability to produce a maximum quantity of 80,000 units in ten batches of 8,000.
The cost per unit in each firm is $2. Firm B has a fixed cost of $10.
(a) Make relevant plots of equations (1) and (2)
(b) Use the plots in (a) and plots of isoprofit curves valuing $34,000 and $60,000 for the two firms to
identify any differences in the shape of the two firms' isoprofit curves. Can you provide an
explanation for any differences that may exist?
(c) Use the information on both firms to assess whether the higher isoprofit curves would always get
closer to the average cost curve as quantity increases. Explain why or why not.
Transcribed Image Text:This question deals with cost curves and isoprofit curves Keep in mind that the formula for a firm's cost function is: TC = FC + C(Q) TC → Total Costs: FC → Fixed Costs: C(Q) → Cost of production*Quantity produced → also known as Variable Costs Q1: Firms A and B are two firms supplying products in two separate differentiated goods markets. Equations (1) and (2) give the total cost functions of the two firms: - Firm A: TC = 2Q --- Equation (1) - Firm B: TC = 10 + 2Q --- Equation (2) Each firm has the ability to produce a maximum quantity of 80,000 units in ten batches of 8,000. The cost per unit in each firm is $2. Firm B has a fixed cost of $10. (a) Make relevant plots of equations (1) and (2) (b) Use the plots in (a) and plots of isoprofit curves valuing $34,000 and $60,000 for the two firms to identify any differences in the shape of the two firms' isoprofit curves. Can you provide an explanation for any differences that may exist? (c) Use the information on both firms to assess whether the higher isoprofit curves would always get closer to the average cost curve as quantity increases. Explain why or why not.
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