SOLUTION: A company manufactures both liquid crystal display (LCD) and plasma televisions. The cost of materials for an LCD television is $125, and the cost of materials for a plasma TV is $

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Question 1054488: A company manufactures both liquid crystal display (LCD) and plasma televisions. The cost of materials for an LCD television is $125, and the cost of materials for a plasma TV is $150. The cost of labor to manufacture one LCD television is $80, and the cost of labor to manufacture one plasma television is $85. How many of each type of television can the manufacturer produce during a week in which $18,000 has been budgeted for materials and $10,750 has been budgeted for labor?
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
Let X be the number of LCD sets, Y the number of plasma sets.
Material: 125X%2B150Y%3C=18000
Labor : 80X%2B85Y%3C=10750
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You don't have a target to aim for.
Typically you want to achieve the highest profit or make the most number of TVs.
I'll assume you want to maximize the number of TVs.
P=X%2BY
So at each of the vertices, calculate P.
(0,120): P=0%2B120=120
(60,70):P=60%2B70=130
(134.375,0):P=134.375%2B0=134.375
Since you can only make whole TVs, round down to P=134.
So make only plasma TVs to maximize the number of TVs you make.