A firm has the following information on production Q.6 and costs from past data: Output Total Cost (TC) (Y) 6. 12 18 2775 5361 8199 If the total function is known cost to be TC = aY'+ bY² + k¥ + f. and the demand for the product of the firm is Y=320- (1/2). P answer the following: Determine the coefficients of the cubic cost function. Derive all cost and revenue curves and the profit

Managerial Economics: Applications, Strategies and Tactics (MindTap Course List)
14th Edition
ISBN:9781305506381
Author:James R. McGuigan, R. Charles Moyer, Frederick H.deB. Harris
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Chapter8: Cost Analysis
Section: Chapter Questions
Problem 9E
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A firm has the following information on production
Q.6
and costs from past data:
Output
Total Cost (ТC)
(Y)
6.
12
18
9.
2775
5361
8199
If
the
total
function
is
known
cost
to
be
ТС - аY + br+kY+ f. and the demand for the
%3D
product of the firm is Y = 320- (1/2). P answer the
following:
Determine the coefticients 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
oulput and price.
What is the relationship between price, marginal revenue
and own price elasticity of demand at
maximization point.
the profit
Transcribed Image Text:A firm has the following information on production Q.6 and costs from past data: Output Total Cost (ТC) (Y) 6. 12 18 9. 2775 5361 8199 If the total function is known cost to be ТС - аY + br+kY+ f. and the demand for the %3D product of the firm is Y = 320- (1/2). P answer the following: Determine the coefticients 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 oulput and price. What is the relationship between price, marginal revenue and own price elasticity of demand at maximization point. the profit
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