Find the Maximum Value of the Objective Function and Where $$\left\{ \begin{array} { l } x \geq 0 \\y \geq 0 \\5 x + 4 y \leq 20 \\3 x + 2 y \leq 6\end{array} \right.$$

question 150

Multiple Choice

Find the maximum value of the objective function and where it occurs, subject to the indicated constraints.(You should graph the feasible solutions on the grid below before you attempt to find the minimum and maximum values.) Objective function:
Z = 6x - 7y
Constraints: $$\left\{ \begin{array} { l } x \geq 0 \\y \geq 0 \\5 x + 4 y \leq 20 \\3 x + 2 y \leq 6\end{array} \right.$$

• A)maximum = 24 at (4, 0)
• B)The maximum is unbounded.
• C)maximum = 35 at (0, 5)
• D)maximum = 12 at (2, 0)
• E)There is no maximum. The feasable solution set is empty.

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Definitions:

Quantity Sold

The total number of units of a product sold within a given time frame.

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A strategy where a business sets prices below cost intending to eliminate competitors and gain market dominance.

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Data regarding the total costs incurred in the creation of a product, including direct materials, labor, and overhead expenses.

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