Find the cost function if the marginal cost function is given by C'(x)= x^(1/2) +7 and 4 units cost ​$40.

Answer 1

C'(x)= x^(1/2) +7
integrate:
C(x) = (2/3)x^(3/2) + 7x + k, where k is a constant,
given: when x = 4, C(4) = 40
40 = (2/3)(4^(3/2) ) + 28 + K
40 = 16/3 + 28 + k

finish it up.