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MARGINAL PROFIT FOR PRODUCING LOUDSPEAKERS Refer to Exercise 10. Acrosonic's production department estimates that the total cost (in dollars) incurred in manufacturing x ElectroStat speaker systems in the first year of production will be
C(x) = 200x + 300,000
- a. Find the profit function P.
- b. Find the marginal profit function P′
- c. Compute P′ (5000) and P′ (8000).
- d. Sketch the graph of the profit function, and interpret your results.
10. Marginal REVENUE for PRODUCING LOUDSPEAKERS The management of Acrosonic plans to market the ElectroStat, an electrostatic speaker system. The marketing department has determined that the demand function for these speakers is
p = −0.04x + 800 (0 ≤ x ≤ 20,000)
where p denotes the speaker’s unit price (in dollars) and x denotes the quantity demanded.
- a. Find the revenue function R.
- b. Find the marginal revenue function R'.
- c. Compute R' (5000), and interpret your results.
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Chapter 3 Solutions
Applied Calculus for the Managerial, Life, and Social Sciences: Brief Approach -Text Only (Instructor's)
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