A firm produces two different kinds A and B of a commodity.The daily cost of producing x units of A and y units of B is C(x,y)=20(x^2+xy+y^2).Suppose that the firm sells all at a price per unit of 240 for A and 180 for B.  1)find the daily production level that maximizes profit and confirm its maximum. 2)Suppose the firm is required to produce exactly 5 units in all.what are now the optimal production level of x and y.

Microeconomic Theory
12th Edition
ISBN:9781337517942
Author:NICHOLSON
Publisher:NICHOLSON
Chapter16: Labor Markets
Section: Chapter Questions
Problem 16.7P
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A firm produces two different kinds A and B of a commodity.The daily cost of producing x units of A and y units of B is C(x,y)=20(x^2+xy+y^2).Suppose that the firm sells all at a price per unit of 240 for A and 180 for B. 

1)find the daily production level that maximizes profit and confirm its maximum.

2)Suppose the firm is required to produce exactly 5 units in all.what are now the optimal production level of x and y.

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