Calculate the break even and profit maximizing levels of output and price. What is the relationship between price, marginal revenue and own price elasticity of demand at the profit maximization point.

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
Chapter14: Pricing Techniques And Analysis
Section: Chapter Questions
Problem 3E
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I need answers for the last two parts.

Thanks.

A firm has the following information on production
Q.6
and costs from past data:
Output
Total Cost (TC)
(Y)
12
18
9
2775
5361
8199
If the
TC = aY'+ bY² + kY + f, and the demand for the
product of the firm is Y = 320- (1/2). P answer the
total cost function is
known
to
be
following:
• Determine the coefficients of the cubic cost function.
Derive all cost and revenue curves and the profit
function.
• Show that the MC cuts the AVC when AVC is at its
minimum point. Plot the relevant graph indicating all
points.
• Calculate the break even and profit maximizing levels of
output and price.
• What is the relationship between price, marginal revenue
and own price elasticity of demand at the profit
maximization point.
Transcribed Image Text:A firm has the following information on production Q.6 and costs from past data: Output Total Cost (TC) (Y) 12 18 9 2775 5361 8199 If the TC = aY'+ bY² + kY + f, and the demand for the product of the firm is Y = 320- (1/2). P answer the total cost function is known to be following: • Determine the coefficients of the cubic cost function. Derive all cost and revenue curves and the profit function. • Show that the MC cuts the AVC when AVC is at its minimum point. Plot the relevant graph indicating all points. • Calculate the break even and profit maximizing levels of output and price. • What is the relationship between price, marginal revenue and own price elasticity of demand at the profit maximization point.
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