Select the Region Determined by the Constraints $z = 7 x + \frac { 1 } { 8 } y$

question 148

Multiple Choice

Select the region determined by the constraints.Then find the maximum value of the objective function (if possible) and where it occurs, subject to the indicated constraints.
Objective function:
$z = 7 x + \frac { 1 } { 8 } y$
Constraints: $$\begin{aligned}x & \geq 0 \\y & \geq 0 \\\frac { 1 } { 2 } x + y & \leq 8 \\x + \frac { 1 } { 2 } y & \geq 4\end{aligned}$$

• A) Maximum at (4, 0): 28.00
• B) Maximum at (8, 0): 2.00
• C) Maximum at (16, 0): 112.00
• D) No maximum
• E) Maximum at (0, 8): 1.00

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