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A manufacturing company of a certain product has a fixed cost of $40 and a variable...

A manufacturing company of a certain product has a fixed cost of $40 and a variable cost of 2x^3+13x, what is the total cost function and the cost to produce 50 of these products? What is the marginal cost when x = 50?                                          

   At what level of output will average cost per unit be a minimum? What is this minimum?                                                                                          

    If the demand price for this product is set at d(x) = -x^2+49, determine the amount of production which will maximize the profit.                                      

Determine the price at which maximum profit occurs and calculate the maximum profit.          

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