The cost of building an office complex, x floors high, in a prime location in Accra is made up of three components:   GH¢10 million for the land GH¢1/4 million per floor Specialized costs of GH¢10000x per floor.   How many floors should the office complex contain if the average cost per floor is to be minimized? 2) The demand and total cost functions of a good are respectively  and Find expressions for TR, (profit) , MR, and MC in terms of Q. Solve the equation and hence determine the value of Q which maximizes profit. Verify that, at the point of maximum profit, MR=MC.   3) A monopolistic producer of two goods, 1 and 2, has a joint total cost function     where  and  denote the quantity of items of goods 1 and 2, respectively that are produced. If P1 and P2 denote the corresponding prices then the demand equations are     Using the Lagrange multiplier approach, find the maximum profit if the firm is contracted to produce a total of 15 goods of either type. Estimate the new optimal profit if the production quota rises by 1 unit. 4) When is average cost minimized? 5) what is variable cost?

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
Chapter8: Cost Analysis
Section: Chapter Questions
Problem 9E
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  1. The cost of building an office complex, x floors high, in a prime location in Accra is made up of three components:

 

  • GH¢10 million for the land
  • GH¢1/4 million per floor
  • Specialized costs of GH¢10000x per floor.

 

How many floors should the office complex contain if the average cost per floor is to be minimized?

2) The demand and total cost functions of a good are respectively  and

Find expressions for TR, (profit) , MR, and MC in terms of Q.

Solve the equation and hence determine the value of Q which maximizes profit. Verify that, at the point of maximum profit, MR=MC.

 

3)

  1. A monopolistic producer of two goods, 1 and 2, has a joint total cost function

 

 

where  and  denote the quantity of items of goods 1 and 2, respectively that are produced. If P1 and P2 denote the corresponding prices then the demand equations are

 

 

Using the Lagrange multiplier approach, find the maximum profit if the firm is contracted to produce a total of 15 goods of either type. Estimate the new optimal profit if the production quota rises by 1 unit.

4) When is average cost minimized?

5) what is variable cost?

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