The cost function of manufacturing x meters of a fabric is C (x) = 25,000 + 3x - $0.002 x ^ { 2 }$ + $0.000001 x ^ { 3 }$ . Find $\mathrm { C } ^ { ' }$ (5000).
A)58
B)580
C)5.8
D)5800
E)60
F)600
G)6
H)6000

Question

Quizplus · Accepted Answer

The derivative of the cost function is:C'(x) = 3 - 0.004x + 0.000003x^2C'(5000) = 3 - 0.004(5000) + 0.000003(5000)^2 = 58

The Cost Function of Manufacturing X Meters of a Fabric 0.002x20.002 x ^ { 2 }0.002x2

The Cost Function of Manufacturing X Meters of a Fabric $0.002 x ^ { 2 }$