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) $ $35,474,500$

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The Answer of 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) $ $35,474,500$

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

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