# Differentation

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The weekly demand and cost functions for a product are

p= 1.89 - 0.0083x and c= 21+ 0.65x

write the profit function for this product.

find the marginal cost of the function.

C= 475 + 5.25x^2/3

find the marginal revenue function.

R= x(5+ 10/ sqrt(x)

Find the marginal profit function.

P= 1/15x^3 + 4000x^2 - 120x - 144,000

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#### Solution Preview

(a) Total Revenue = Px = 1.89x - 0.0083x^2

Total Profit = Total Revenue ...

$2.49