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

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

it is possible for the manufacturer to make available additionalhours of test time by adding a third shift at the manufacturingfacility and paying overtime wages. up to 500 additional hours areavailable using this approach, but the premium cost is $10 per hourover that for regular time. the manufacturer can sell all thelaptops of any model that can be produced. assume that themanufacturer is interested in maximizing the contribution fromlaptop computers (less any overtime . formulate this problem as alinear programming problem.

s standard model    excel model    sportmodel 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