SOLUTION: A manufacturer produces 17 and 24 inch computer monitors. Past sales experience shows that at least twice as many 17 inch monitors are sold as 24 inch monitors. The manufacturing p

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Question 1022032: A manufacturer produces 17 and 24 inch computer monitors. Past sales experience shows that at least twice as many 17 inch monitors are sold as 24 inch monitors. The manufacturing plant is capable of producing 12 monitors per day. A profit of $50 is earned on each 17 inch monitor sold and $70 is earned on each 24 inch monitor sold. How many of each monitor should be produced to maximize the manufacturers profits and satisfy the constraints. What is the maximum profit?
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
Let X by the number of 17" units, Y the number of 24" units.
X%2BY=12<--- Quantity
P=50X%2B70Y <--- Profit
The extrema occur at the endpoints X=0 and X=12.
X=0
Y=12-0=12
P=50%280%29%2B70%2812%29
P=840
.
.
X=12
Y=12-12=0
P=50%2812%29%2B70%280%29
P=600
Maximum profit is $840.