Find the Maximum Value of the Objective Function and Where $z = 2 x - 4 y$

question 4

Multiple Choice

Find the maximum value of the objective function and where it occurs, if one exists. Objective function: $z = 2 x - 4 y$ Constraints: $\begin{aligned}x & \geq 0 \\y & \geq 0 \\- x + y & \leq 1 \\- 5 x + y & \geq 5\end{aligned}$

• A)The solution region is empty. There is no maximum value.
• B)The maximum value is 2 and occurs at \(( 1,0 )\)
• C)The maximum value is -4 and occurs at \(( 0,1 )\)
• D)The maximum value is -20 and occurs at \(( 0,5 )\)
• E)The maximum value is 10 and occurs at \(( 5,0 )\)

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