Question

Agamemnon runs a sandwich shop. By studying his past costs, he has found that a function modeling the cost of operating his shop is given by

C(x)=x^3 - 15 x^2 +41 x + 18

where x is the number of sandwiches sold daily and C is in dollars.

Write the equation that expresses Agamemnon's marginal cos

Answer 1

C'(x) = 3x^2-30x+41

Answer 2

Find the value of x that minimizes Agamemnon's marginal cost:

Answer 3

It's x=5.

Answer 4

C''(x)=6x-30=0 gives the minimum x, so x=5.

Answer 5

thanks