Determine the Values of X and Y That Produce the Minimum

question 31

Multiple Choice

Determine the values of x and y that produce the minimum value of the objective function on the feasible
region. Determine the minimum value of the objective function on the feasible region.
- $$\begin{array} { l } x \geq 0 , y \geq 0 \\40 x + 30 y \geq 3,200 \\x \geq 1.75 y \\\quad \text { Minimize } z = 22 x + 12 y\end{array}$$

• A) \(x = 32 , y = 56\); Minimum value: 48,320
• B) \(x = 32 , y = 56\); Minimum value: 1,376
• C) \(x = 56 , y = 32\); Minimum value: 60,800
• D) \(x = 56 , y = 32\); Minimum value: 1,616

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