KK ltd produces goods for sale. From trend analysis the management accountant established a demand function of the product to be P=40−1.5q, where P is the unit selling price and q is the quantity in thousands. The enterprise has been producing under the cost TC=q2+10q+50, where TC is the total cost in thousands of cedis. Required 1. What is the optimal price to maximize profit? 2. Determine the maximum profit and the sale revenue at this 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
ChapterB: Differential Calculus Techniques In Management
Section: Chapter Questions
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KK ltd produces goods for sale. From trend analysis the management accountant established a demand function of the product to be P=40−1.5q, where P is the unit selling price and q is the quantity in thousands. The enterprise has been producing under the cost TC=q2+10q+50, where TC is the total cost in thousands of cedis.
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1. What is the optimal price to maximize profit?
2. Determine the maximum profit and the sale revenue at this point.

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