Solve the problem.
-Find the minimum value of $\mathrm { f } = 2 \mathrm { x } + 4 \mathrm { y }$ subject to the following constraints.
$$\begin{array} { l }
x + 2 y \geq 10 \
3 x + y \geq 10 \
x \geq 0 \
y \geq 0
\end{array}$$
A) Minimum of 0
B) Minimum of 10
C) Minimum of 30
D) Minimum of 20

Question

Solve the problem.
-Find the minimum value of $\mathrm { f } = 2 \mathrm { x } + 4 \mathrm { y }$ subject to the following constraints.
$$\begin{array} { l } 
x + 2 y \geq 10 \
3 x + y \geq 10 \
x \geq 0 \
y \geq 0
\end{array}$$
A) Minimum of 0
B) Minimum of 10
C) Minimum of 30
D) Minimum of 20

Quizplus · Accepted Answer

The feasible region is bounded by the constraints. The vertices of the feasible region are (0,5), (2,4), and (10/3, 10/3). Evaluating the objective function at these points gives f = 20 at (0,5), f = 20 at (2,4), and f = 40/3 at (10/3, 10/3). The minimum value is 20.

Solve the Problem f=2x+4y\mathrm { f } = 2 \mathrm { x } + 4 \mathrm { y }f=2x+4y

Solve the Problem $\mathrm { f } = 2 \mathrm { x } + 4 \mathrm { y }$