Solve the problem.The Southern States Ring Company designs and sells two types of rings: the brass and the aluminum. They can produce up to 24 rings each day using up to 60 total man-hours of labor per day. It takes 3 man-hours to make one brass ring and 2 man-hours to make one aluminum ring. How many of each type of ring should be made daily to maximize the company's profit, if the profit on a brass ring is $40 and on an aluminum ring is $35?
What will be an ideal response?
Maximize P = 40x + 35y
Subject to x + y ? 24
3x + 2y ? 60
x ? 0, y ? 0
Corner Points: A = (0, 0)
B = (0, 24)
C = (12, 12)
D = (20, 0)
Mathematics
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