SOLUTION: Q1) Suppose a manufacturer of printed circuits has a stock of 200 resistors,120 transistors and 150 capacitors and is required to produce two types of circuits. Type A requ

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: Q1) Suppose a manufacturer of printed circuits has a stock of 200 resistors,120 transistors and 150 capacitors and is required to produce two types of circuits. Type A requ      Log On


   



Question 1058032: Q1) Suppose a manufacturer of printed circuits has a stock of 200 resistors,120 transistors and 150 capacitors and is required to produce two types of circuits.
Type A requires 20 resistors, 10 transistors and 10 capacitors.
Type B requires 10 resistors, 20 transistors and 30 capacitors.
If the profits on type A circuits is $5 and that on type B circuits is $12, how many of each circuits should be produced in order to maximize the profit?

Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
Look at the number of resistors used,
20A%2B10B%3C=200
Look at the number of transistors used,
10A%2B20B%3C=120
Look at the number of capacitors,
10A%2B30B%3C=150
Finally look at the profit function,
P=5A%2B12B
Graph the feasible region,
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Check the profit function at each of the vertices,
(0,5): P=5%280%29%2B12%285%29=60
(6,3): P=5%286%29%2B12%283%29=30%2B36=66
(28/3,4/3): P=5%2828%2F3%29%2B12%284%2F3%29=140%2F3%2B48%2F3=188%2F3
(10,0): P=5%2810%29%2B12%280%29=50
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P%5Bmax%5D=66
A=6
B=3