Find the maximum and minimum values of the function and the values of x and y for which they occur.F = 8x + 12y, subject to40x + 80y ? 560,6x + 8y ? 72,x ? 0,y ? 0.
A. Maximum: 96 when x = 12 and y = 0; minimum: 0 when x = 0 and y = 0
B. Maximum: 96 when x = 12 and y = 0; minimum: 84 when x = 0 and y = 7
C. Maximum: 100 when x = 8 and y = 3; minimum: 84 when x = 0 and y = 7
D. Maximum: 100 when x = 8 and y = 3; minimum: 0 when x = 0 and y = 0
Answer: D
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What will be an ideal response?