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Question

Suppose the Marginal Benefit and Marginal Cost functions are given as follows: MB(q) =20-4q and MC(q) = 6 +12q^2 (a). What level of q minimizes Total Cost? (b). What level of q maximizes Total Benefit? (c). What level of q maximizes Net Benefit? (d). What quantity (units) maximize Net Benefit? (e). Derive the Total Cost function.