An objective function and a system of linear inequalities representing constraints are given. Graph the system of inequalities representing the constraints. Find the value of the objective function at each corner of the graphed region. Use these values to determine the maximum value of the objective function and the values of x and y for which the maximum occurs.Objective Functionz = 10x - 23yConstraints0 ? x ? 5 0 ? y ? 8 4x + 5y ? 30 4x + 3y ? 20

A. Maximum: -102.5; at (1.25, 5)
B. Maximum: 0; at (0, 0)
C. Maximum: -138; at (0, 6)
D. Maximum: 50; at (5, 0)


Answer: D

Mathematics

You might also like to view...

Find the average value of the function f over the given region.f(x, y) = ex2 over the region bounded by  , , and  .

A.
B.
C. e - 1
D. 2e - 1

Mathematics

Solve the inequality. Express your answer using interval notation. Graph the solution set. < 54

A. (-?, 9)

B. (-9, 9)

C. (-?, -9) ? (9, ?)

D. (-9, 9)

Mathematics

Evaluate the logarithm to four decimal places.ln 25

A. 3.4012 B. 3.2581 C. 3.2189 D. 3.1781

Mathematics

Find the product.-6(76)

A. 556 B. -456 C. 432 D. -426

Mathematics