Solve the Problem $\mathrm { f } = 4 \mathrm { x } + 5 \mathrm { y }$

Multiple Choice

Solve the problem.
-Find the minimum value of $\mathrm { f } = 4 \mathrm { x } + 5 \mathrm { y }$ subject to the following constraints.
$$\begin{array} { l } 2 x - 4 y \leq 10 \\2 x + y \geq 15 \\x \geq 0 \\y \geq 0\end{array}$$

A) Minimum of 20
B) Minimum of 75
C) Minimum of 33
D) Minimum of 39