A manufacturer produces gizmos at a cost of P5 each. The manufacturer computes that if each gizmo sells for x pesos, (15 – x) gizmos will be sold. What is the manufacturer's profit function T(x)? What price x should the manufacturer charge to maximize profit? (Hint: If the profit function is concave, the maximum point is the point where the slope is zero.)

Managerial Economics: A Problem Solving Approach
5th Edition
ISBN:9781337106665
Author:Luke M. Froeb, Brian T. McCann, Michael R. Ward, Mike Shor
Publisher:Luke M. Froeb, Brian T. McCann, Michael R. Ward, Mike Shor
Chapter3: Benefits, Costs, And Decisions
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A manufacturer produces gizmos at a cost of P5 each. The manufacturer computes that if each gizmo sells
for x pesos, (15 – x) gizmos will be sold. What is the manufacturer's profit function a(x)? What price
x should the manufacturer charge to maximize profit? (Hint: If the profit function is concave, the
maximum point is the point where the slope is zero.)
Transcribed Image Text:A manufacturer produces gizmos at a cost of P5 each. The manufacturer computes that if each gizmo sells for x pesos, (15 – x) gizmos will be sold. What is the manufacturer's profit function a(x)? What price x should the manufacturer charge to maximize profit? (Hint: If the profit function is concave, the maximum point is the point where the slope is zero.)
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