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Carla Music Company estimates that the marginal cost of manufacturing its professional series guitar is C’ (x) = .002x + 100 dollars/month when the level of production is x guitars/month. The fixed costs by Carla are $4000 per month.

A. Find the total monthly cost incurred by Carla in manufacturing x guitars per month.

B. What is the cost of producing 50 guitars per month.

I am soo confused on this problem and I have no idea how to even start. can someone please help me?!?

  • Calculus -

    If you typed it correctly, your equation is the derivative of C, so integrate it

    C = .001x^2 + 100x + 4000

    C = .001(2500) + 100(50) + 4000

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