Find the Minimum and Maximum Values of the Objective Function $z = 2 x + 8 y$

question 64

Multiple Choice

Find the minimum and maximum values of the objective function $z = 2 x + 8 y$ and where they occur, subject to the constraints $$x \geq 0 , y \geq 0,2 x + y \leq 4$$ .

• A)The minimum value is 0 at \(( 0,0 )\) and the maximum value is 32 at \(( 0,4 )\) .
• B)The minimum value is 0 at \(( 0,2 )\) and the maximum value is 32 at \(( 0,4 )\) .
• C)The minimum value is 0 at \(( 0,0 )\) and the maximum value is 32 at \(( 0,2 )\) .
• D)The minimum value is 0 at \(( 0,4 )\) and the maximum value is 32 at \(( 0,2 )\) .
• E)The minimum value is 0 at \(( 0,4 )\) and the maximum value is 32 at \(( 0,0 )\) .

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