Division B Has Asked Division a of the Same Company

Division B has asked Division A of the same company to supply it with 4,000 units of part K932 this year to use in one of its products. Division B has received a bid from an outside supplier for the parts at a price of $31.00 per unit. Division A has the capacity to produce 10,000 units of part K932 per year. Division A expects to sell 8,000 units of part K932 to outside customers this year at a price of $36.00 per unit. To fill the order from Division B, Division A would have to cut back its sales to outside customers. Division A produces part K932 at a variable cost of $18.00 per unit. The cost of packing and shipping the parts for outside customers is $3.00 per unit. These packing and shipping costs would not have to be incurred on sales of the parts to Division
B.Required:
a.What is the range of transfer prices within which both the Divisions' profits would increase as a result of agreeing to the transfer of 4,000 parts this year from Division B to Division A?
b.Is it in the best interests of the overall company for this transfer to take place? Explain.