Carlota Company estimates that the marginal cost of manufacturing its Professional Series guitars is given by the following in dollars/month when the level of production is x guitars/month. C '(x) = 0.008x + 90

The fixed costs incurred by Carlota are $8500/month. Find the total monthly cost C(x) incurred by Carlota in manufacturing x guitars/month.

C(x) = 0.004x^2 + 90x + $8,500

Explanation:

In order to find the to monthly cost C(x) incurred, the marginal cost C '(x) = 0.008x + 90 will have to be integrated using integral calculus as follows:

Where C is the constant or fixed costs

The equation above can be further solved as follows:

Since fixed costs is $8500/month, we substitute for C to obtain the the total monthly cost C(x) incurred by Carlota in manufacturing x guitars/month as follows:

C(x) = 0.004x^2 + 90x + $8,500

b, fewer problems later! good luck

answer; tech (a) is correct;