PC-Express is a computer retail store that sells two kinds of microcomputers: desktops and laptops. The company earns $700 profit on each desktop computer it sells and $900 profit on each laptop. The microcomputers PC-Express sells are from its wholesaler. This wholesaler can only supply PC-Express up to 60 desktops and 75 laptops next month. The employees at PC-Express must spend 2 hours installing software and checking each desktop computer they sell. The employees spend 3 hours to complete this process for each of the laptop computers. They expect to have 210 hours available from the employees next month. Due to consumers’ demands, the number of desktops can not be less than the number of laptops. The manager is certain that they can sell all the computer they order, but unsure how many of desktops and laptops they should order to maximize profits.
(a) Formulate a linear programming model for this problem.
(b) use the graphical approach to solve the model.
(c) Offer your managerial decision
(d) Report the total profit for this problem.
(e) The unit profit for a desktop now drops to $500 due to the recent price discount for sales competition. What will be your revised managerial decision? Report the revised profit.