Suppose that the marginal revenue for firefighting protective clothes is MR = 626 - 6x and the marginal cost is MC = 3.5x + 18 with a fixed cost of $285. Assume R(0) = 0. a) How many units will result in a maximum profit? x = b) Find the revenue function. R(x) = c) Find the cost function. C(x) = =

Advanced Engineering Mathematics
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Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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Suppose that the marginal revenue for firefighting protective clothes is MR = 626 - 6x and the
marginal cost is MC = 3.5x + 18 with a fixed cost of $285. Assume R(0) =
= 0.
a) How many units will result in a maximum profit?
x =
b) Find the revenue function.
R(x) =
c) Find the cost function.
C(x) =
d) What is the maximum profit (to the nearest dollar)?
The maximum profit is
Transcribed Image Text:Suppose that the marginal revenue for firefighting protective clothes is MR = 626 - 6x and the marginal cost is MC = 3.5x + 18 with a fixed cost of $285. Assume R(0) = = 0. a) How many units will result in a maximum profit? x = b) Find the revenue function. R(x) = c) Find the cost function. C(x) = d) What is the maximum profit (to the nearest dollar)? The maximum profit is
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