Bryan H.
asked • 03/02/23F) Evaluate the marginal profit function at x=1500 P′(1500)=
The price-demand and cost functions for the production of microwaves are given as p=270−x/50
andC(x)=32000+80x,
where x is the number of microwaves that can be sold at a price of p dollars per unit and C(x) is the total cost (in dollars) of producing x units.
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1 Expert Answer
Raymond B. answered • 03/02/23
Tutor
5
(2)
Math, microeconomics or criminal justice
270x -x^2/50 - 80x -32000
P(x) = -x^2/50 + 190x -32000
P'(x) =dP/dx = -x/25 +190
P'(1500) = -(1500)/25 +190
Marginal Cost at x=1500
is -60 + 190
= 130
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Stanton D.
Microwaves are a form of electromagnetic radiation. You might assign a cost to producing them for a given time, at a given power setting, in a microwave oven. You don't sell them individually, ever, since they occur at ~2.45 GHz. Incidentally, a higher frequency (10 GHz) is more efficiently absorbed by water. So can you figure out why the lower frequency is used in commercial microwave ovens? By the way, profit = xp(x) - c(x). So take the derivative of that whole expression with respect to x. If you messed up on the profit equation, shame on you!03/02/23