Who makes lcd screens for sony?

Formulating Linear Programming - Screens?

• A manufacturer of LCD screens makes four models: (1) a portable black framed screen, called Mini, (2) a regular black framed screen, called Midi, (3) a portable silver framed screen, called Mini-Silver, and (4) a regular silver framed screen, called Midi-Silver. Each screen requires time to assemble and test. The assembly and testing requirements for each model are given in table below, together with the total available time to assembly and testing in the next month and the marginal profit (unit profit) of the screens. The supplier of frames indicates that he will not be able to supply more than 180 frames in the next month; and of these, not more than 100 can be silver frames. ................................... Mini, Midi, Mini-Silver, Midi-Silver, Total Available Assembly Time (hours)... 8 ..... 10 .... 12 ...........15 ................1,800 Test time (hours)............ 2 ...... 2 ...... 4 .............5.................. 500 Marginal profit ($)........... 40 .....60 .....80 ...........100 Formulate the problem as a liner program. I got this so far: Max profit: 40x_1+ 60x_2+ 80x_3+ 100x_4 s.t 8x_1+ 10x_2+ 12x_3+ 15x_4 < 1800 2x_1+ 2x_2+ 4x_3+ 5x_4 < 500 I can't figure-out other constraints, such as "The supplier of frames indicates that he will not be able to supply more than 180 frames in the next month; and of these, not more than 100 can be silver frames." I thought of putting x_1 + x_2 + x_3 + x_4 < 180 and x_3 + x_4 < 100 ... but I am not sure if it makes sense ... need help please ...

• Answer:

  It makes perfectly good sense, except that you should be using <= instead of <. Keep going.