Q. 5a): A retailer has determined that the annual cost C of purchasing. owning, and maintaining one of its products behaves according to the function (5) C = f(2)=(a+1)/q+(B+2)9+ Note: if a=0 then use B+S2 in thousand $, B=0 then use a +12 in thousand $ and 2 =0 then use a + in thousand $ Where q is the size (in units) of each order purchased from suppliers. 1) What order quantity q results in minimum annual cost? 11) What is the minimum annual cost? b) The function describing the marginal profit from producing and selling a product is (5) MP =-(a+B+3)x+2 Note: if a=0 then use B+12 in gnes unit and 2 =0 then use a+B in hundreds unit Where x equals the number of units and MP is the marginal profit measured in dollars. When 300 units are produced and sold, total profit equals $18,000. Determine the total profit function. c): the demand function for the product is (5) 9 = f(p)=(a+3)e (8+2) Note: if a=0 then use B+12 in thousands units, B =0 then use a +2 in gnes unit Where q is quantity demanded (in units) and p is the price (in dollars). 1) Determine the value of p which will result in maximum total revenue. 11) What is the maximum total revenue? Q. 5a): A retailer has determined that the annual cost C of purchasing. owning, and maintaining one of its products behaves according to the function (5) C = f(2)=(a+1)/q+(B+2)9+ Note: if a=0 then use B+S2 in thousand $, B=0 then use a +12 in thousand $ and 2 =0 then use a + in thousand $ Where q is the size (in units) of each order purchased from suppliers. 1) What order quantity q results in minimum annual cost? 11) What is the minimum annual cost? b) The function describing the marginal profit from producing and selling a product is (5) MP =-(a+B+3)x+2 Note: if a=0 then use B+12 in gnes unit and 2 =0 then use a+B in hundreds unit Where x equals the number of units and MP is the marginal profit measured in dollars. When 300 units are produced and sold, total profit equals $18,000. Determine the total profit function. c): the demand function for the product is (5) 9 = f(p)=(a+3)e (8+2) Note: if a=0 then use B+12 in thousands units, B =0 then use a +2 in gnes unit Where q is quantity demanded (in units) and p is the price (in dollars). 1) Determine the value of p which will result in maximum total revenue. 11) What is the maximum total revenue