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

Mathematics

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Evaluate the iterated integral.

A. - 192 B. - 288 C. 192 D. 480

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Use the substitution formula to evaluate the integral.

A.
B.
C. 13
D. 26

Mathematics

Given that the polynomial function has the given zero, find the other zeros.f(x) = x3 - 64; 4

A. -1 + 2i, -1 - 2i
B. -2 + i, -2 - i
C. -2 + 2i, -2 - 2i
D. -2 + 4i, -2 - 4i

Mathematics

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

Mathematics