A company manufactures two different products. Its revenue function is given by R = 45q1 + 3092 and the cost function by C = 9² +9192 +9²2 where 9₁ and q2 are the amounts produced and sold of the two products. The budget is 336 monetary units and is spent entirely. (a) Determine the amounts for both products that yield maximal revenue (and, hence maximal profit) (b) What is, approximately, the effect of increasing the budget from 336 to 337? So, is it a good idea for the company to raise its budget? (i.e., will such a move increase the profit made?) (c) Same question as in part b, but if the original budget is 756 monetary units instead of 336: will an increase in the budget lead to an increase in 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
Publisher:James R. McGuigan, R. Charles Moyer, Frederick H.deB. Harris
Chapter11: Price And Output Determination: Monopoly And Dominant Firms
Section: Chapter Questions
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83. A company manufactures two different products. Its revenue function is given by
R = 45q1 + 3092
and the cost function by
C = 9² +9192 +9²2
where 91 and 92 are the amounts produced and sold of the two products. The budget is 336 monetary
units and is spent entirely.
(a) Determine the amounts for both products that yield maximal revenue (and, hence maximal
profit)
(b) What is, approximately, the effect of increasing the budget from 336 to 337? So, is it a good
idea for the company to raise its budget? (i.e., will such a move increase the profit made?)
(c) Same question as in part b, but if the original budget is 756 monetary units instead of 336: will
an increase in the budget lead to an increase in the profit?
Transcribed Image Text:83. A company manufactures two different products. Its revenue function is given by R = 45q1 + 3092 and the cost function by C = 9² +9192 +9²2 where 91 and 92 are the amounts produced and sold of the two products. The budget is 336 monetary units and is spent entirely. (a) Determine the amounts for both products that yield maximal revenue (and, hence maximal profit) (b) What is, approximately, the effect of increasing the budget from 336 to 337? So, is it a good idea for the company to raise its budget? (i.e., will such a move increase the profit made?) (c) Same question as in part b, but if the original budget is 756 monetary units instead of 336: will an increase in the budget lead to an increase in the profit?
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