A firm has the cost curve (C(q)=100+150 q-) (46 q^{2}+5 q^{3}). What are the equations of the

Question:

A firm has the cost curve $C(q)=100+150 q-$ $46 q^{2}+5 q^{3}$. What are the equations of the firm's marginal cost, average variable cost, and average cost curves? What are the minimum values of marginal cost, average variable cost, and average cost, and at what levels of output do they occur? What is the value of marginal cost when average variable cost and average cost are at a minimum?

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