Cost of Producing Guitars Carlota Music 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) = 0.004x + 140

The fixed costs incurred by Carlota are $3,500/month. Find the total monthly cost C(x) incurred by Carlota in manufacturing x guitars/month.

C(X)=