You are the manager of a firm that produces a product according to the cost function C(qi) = 160 58qi – 6qi2 qi3. Determine the short-run supply function if:(Note: q^2 is equivalent to q2)a. You operate a perfectly competitive business.a. P = 35 - 15q 3q^2 if P is greater than or equal to $52; otherwise the firm produces zero units.b. P = 40 - 8q 2q^2 if P is greater than or equal to $55; otherwise the firm produces zero units.c. There is no supply curve in this case.d. P = 58 - 12q 3q^2 if P is greater than or equal to $49; otherwise the firm produces zero units.