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Select the Region Determined by the Constraints $z = 7 x + \frac { 1 } { 4 } y$

Question 7

Multiple Choice

Select the region determined by the constraints.Then find the minimum value of the objective function (if possible) and where it occurs,subject to the indicated constraints. ?
Objective function:? $z = 7 x + \frac { 1 } { 4 } y$ ?
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) ? $Select the region determined by the constraints.Then find the minimum value of the objective function (if possible) and where it occurs,subject to the indicated constraints. ? Objective function:? z = 7 x + \frac { 1 } { 4 } y ? Constraints:? \begin{aligned} x & \geq 0 \\ y & \geq 0 \\ \frac { 1 } { 2 } x + y & \leq 8 \\ x + \frac { 1 } { 2 } y & \geq 4 \end{aligned} ? A) ? Minimum at (8,0) : 3.00 B) ? No minimum C) ? Minimum at (4,0) : 28.00 D) ? Minimum at (16,0) : 112.00 E) ? Minimum at (0,8) : 2.00$ Minimum at (8,0) : 3.00
B) ? $Select the region determined by the constraints.Then find the minimum value of the objective function (if possible) and where it occurs,subject to the indicated constraints. ? Objective function:? z = 7 x + \frac { 1 } { 4 } y ? Constraints:? \begin{aligned} x & \geq 0 \\ y & \geq 0 \\ \frac { 1 } { 2 } x + y & \leq 8 \\ x + \frac { 1 } { 2 } y & \geq 4 \end{aligned} ? A) ? Minimum at (8,0) : 3.00 B) ? No minimum C) ? Minimum at (4,0) : 28.00 D) ? Minimum at (16,0) : 112.00 E) ? Minimum at (0,8) : 2.00$ No minimum
C) ? $Select the region determined by the constraints.Then find the minimum value of the objective function (if possible) and where it occurs,subject to the indicated constraints. ? Objective function:? z = 7 x + \frac { 1 } { 4 } y ? Constraints:? \begin{aligned} x & \geq 0 \\ y & \geq 0 \\ \frac { 1 } { 2 } x + y & \leq 8 \\ x + \frac { 1 } { 2 } y & \geq 4 \end{aligned} ? A) ? Minimum at (8,0) : 3.00 B) ? No minimum C) ? Minimum at (4,0) : 28.00 D) ? Minimum at (16,0) : 112.00 E) ? Minimum at (0,8) : 2.00$ Minimum at (4,0) : 28.00
D) ? $Select the region determined by the constraints.Then find the minimum value of the objective function (if possible) and where it occurs,subject to the indicated constraints. ? Objective function:? z = 7 x + \frac { 1 } { 4 } y ? Constraints:? \begin{aligned} x & \geq 0 \\ y & \geq 0 \\ \frac { 1 } { 2 } x + y & \leq 8 \\ x + \frac { 1 } { 2 } y & \geq 4 \end{aligned} ? A) ? Minimum at (8,0) : 3.00 B) ? No minimum C) ? Minimum at (4,0) : 28.00 D) ? Minimum at (16,0) : 112.00 E) ? Minimum at (0,8) : 2.00$ Minimum at (16,0) : 112.00
E) ? $Select the region determined by the constraints.Then find the minimum value of the objective function (if possible) and where it occurs,subject to the indicated constraints. ? Objective function:? z = 7 x + \frac { 1 } { 4 } y ? Constraints:? \begin{aligned} x & \geq 0 \\ y & \geq 0 \\ \frac { 1 } { 2 } x + y & \leq 8 \\ x + \frac { 1 } { 2 } y & \geq 4 \end{aligned} ? A) ? Minimum at (8,0) : 3.00 B) ? No minimum C) ? Minimum at (4,0) : 28.00 D) ? Minimum at (16,0) : 112.00 E) ? Minimum at (0,8) : 2.00$ Minimum at (0,8) : 2.00

Select the Region Determined by the Constraints z=7x+14yz = 7 x + \frac { 1 } { 4 } yz=7x+41​y

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Select the Region Determined by the Constraints $z = 7 x + \frac { 1 } { 4 } y$

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