Profit Analysis—Radio Production: The Hanash Corporation determines that the weekly profit from producing and selling its Jog-R-Radios can be modeled by
P(x) = −0.01x2 + 12x − 2000 0 ≤ x ≤ 1000
where x represents the number of radios produced and sold weekly and P(x) represents the weekly profit in dollars.
(a) Determine MP, the marginal profit function. Evaluate MP(700) and interpret.
(b) If the Hanash Corporation is producing and selling 700 radios per week, is profit increasing or decreasing?
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