Find the maximum and minimum values of the function and the values of x and y for which they occur.P = 6x + 7y, subject to2x + 3y ? 12,2x + y ? 8,x ? 0,y ? 0.
A. Maximum: 24 when x = 4 and y = 0; minimum: 0 when x = 0 and y = 0
B. Maximum: 32 when x = 3 and y = 2; minimum: 0 when x = 0 and y = 0
C. Maximum: 28 when x = 0 and y = 4; minimum: 0 when x = 0 and y = 0
D. Maximum: 28 when x = 0 and y = 4; minimum: 24 when x = 4 and y = 0
Answer: B
Mathematics
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