The Marginal Cost Function $C^{\prime}(x)$ Is Defined to Be the Derivative of the Cost Function

Multiple Choice

The marginal cost function $C^{\prime}(x)$ is defined to be the derivative of the cost function. If the marginal cost of manufacturing x units of a product is $C^{\prime}(x) =0.009 x^{2}-1.8 x+9$ (measured in dollars per unit) and the fixed start-up cost is $C(0) =2,200,000$ , use the Total Change Theorem to find the cost of producing the first 5,000 units.

A) $35,454,500
B) $35,484,500
C) $35,444,500
D) $35,434,500
E) $ $35,474,500$