QUESTION $1$

JBL Ltd$.$ has two divisions Division W and Division B$.$ Division W produces product Z$,$ which it sells to external market and also to Division B$.$ Divisions in the AWB Ltd$.$ are treated as profit centres and divisions are given autonomy to set transfer prices and to choose their supplier. Performance of each division measured on the basis of target profit given for each period.

Division W can produce $100,000$ units of product Z at full capacity. Demand for product Z in the external market is for $70,000$ units only at selling price of Ksh$2,500$ per unit. To produce product Z Division W incurs Ksh$1,600$ as variable cost per unit and total fixed overhead of Ksh$400,00,000.$ Division W has employed Ksh$\mathrm{.}120,000,000$ as working capital, working capital is financed by cash credit facility provided by its lender bank @ $11\mathrm{.}50\%$p$.$a$.$ Division W has been given a profit target of Ksh$25,000,000$ for the year.

Division B has found two other suppliers C Ltd and H Ltd$.$ who have agreed to supply product Z$.$

Division B has requested a quotation for $40,000$ units of product Z from Division W$.$

Required

$($i$)$Calculate the transfer price per unit of product Z that Division W should quote in order to meet target profit for the year.

$($ii$)$Calculate the two prices Division W would have to quote to Division B$,$ if it became JBL Ltd$.$ policy to quote transfer prices based on opportunity costs.