Find the maximum and minimum values of the objective function f subject to the stated constraints.f = 8x + 12y, subject to40x + 80y ? 560,6x + 8y ? 72,x ? 0,y ? 0.
A. Maximum: 96; Minimum: 84
B. Maximum: 100; Minimum: 84
C. Maximum: 96; Minimum: 0
D. Maximum: 100; Minimum: 0
Answer: D
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Evaluate the iterated integral.
A. - 192 B. - 288 C. 192 D. 480
Use the substitution formula to evaluate the integral.
A.
B. -
C. 13
D. 26
Given that the polynomial function has the given zero, find the other zeros.f(x) = x3 - 64; 4
A. -1 + 2i, -1 - 2
i
B. -2 + i, -2 -
i
C. -2 + 2i, -2 - 2
i
D. -2 + 4i, -2 - 4
i
Solve the problem.The value V, in dollars, of a shopkeeper's inventory software program is given by the formula where t is the number of years since the shopkeeper first bought the program. Find the number of years after which the value of the inventory program is $280 by solving the equation
graphically, using the following graph.
A. 9 years B. 6 years C. 10 years D. 550 years