Question

1. The cost function C and the price-demand function p are given. Assume that the value...

1. The cost function C and the price-demand function p are given. Assume that the value of

C(x)  and p(x) are in dollars. Complete the following.

C(x) = x^2/100 + 6x + 1000; p(x) = x/20+25

(a) Determine the revenue function R and the profit function P.

R(x) =   
P(x) =

(b) Determine the marginal cost function MC and the marginal profit function MP.

MC(x) =   
MP(x) =

3. Determine the derivative for the given single-term function. When appropriate, simplify the derivative so that there are no negative or fractional exponents. A few helpful rules from algebra are:

(i) x−n =

1
x n

, (ii) x m/n =

n x m

.

f(x) = −8x−1/8

f '(x) =

Math   Calculus   
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