Question

A manufacture of laptop computers has four models, two with color lcd (liquid crystal display) screens (the spot model and the superba model) and two model with black and white lcd screens ( the standard model and the excel model). each model required assembly and test time and the requirements are shown in the table 2, together with the amount of time available for assembly and testing next month. LCD.

the lcd screens are purchased from and outside supplier and, because of an earthquake on japan (where the lcd screens are produced), they are in short supply. the outside supplier indicates that not more than 900 LCD screens in total could be supplied in the next month, and of these, not more than 500 could be color LCD.

it is possible for the manufacturer to make available additional hours of test time by adding a third shift at the manufacturing facility and paying overtime wages. up to 500 additional hours are available using this approach, but the premium cost is $10 per hour over that for regular time. the manufacturer can sell all the laptops of any model that can be produced. assume that the manufacturer is interested in maximizing the contribution from laptop computers (less any overtime . formulate this problem as a linear programming problem.

s standard model    excel model    sport model superba model    total available

assembly time    8    10 12 15 10,000

test time(HRS) 2    3 4    6 2,500

profit contribution    $120    $180    $240    $300

Answer 1