C&P company sells CP proprietary computer servers and printers. The computers are shipped in 12 cubic-foot boxes and printers in 8 cubic-foot boxes. The operations manager of C&P company estimates that at least 30 computers can be sold each month. And, the number of computers sold will be at least 50% more than the number of printers. The computers cost C&P company $800 each and are sold for a net profit of $1000 each. The printers cost $250 each and are sold for a net profit of $350 each. C&P company has a storeroom of usable holding capacity of 1200 cubic feet and a monthly budget of $69000 for procuring the merchandise of the computers and printers mentioned above. The operations manager wants to determine the optimal numbers of computers and printers to order and the possibly maximal total net profit monthly. Assume that the stock can always be sold sooner or later as estimated. x Let x and y be the number of computers and printers respectively to order each month. (a) Set up a linear programme to help determine the optimal monthly ordering quantities of computer and printers in order to maximize the net profit. (b) Find the optimal solution of the monthly ordering quantities (allowing fractions of unit, i.e. no integer constraint) and the maximized net profit. (c) Identify the binding constraints of this linear programme. And then, determine the shadow price of relevant resource corresponding to each of the binding constraints. (d) Determine the variability range of each of the coefficients in the optimization function.