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 = 5x + 6yConstraintsx ? 0 0 ? y ? 5 2x + 3y ? 12 2x + 3y ? 20
A. maximum: 30; at (6, 0)
B. maximum: 50; at (10, 0)
C. maximum: 40; at (2, 5)
D. maximum: -20; at (4, 0)
Answer: B
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Solve.The MetroCity clothing company is planning to produce a new jacket. For the first year, the fixed costs for setting up production are $9000. The variable costs for producing each jacket are $34. The revenue for each jacket is $130. Find the total cost C(x) of producing x jackets.
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Perform the indicated operation. Simplify if possible. -
A.
B.
C.
D.
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