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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Definitions:

Growth Spurts

Rapid periods of physical growth typically occurring during childhood and adolescence.

Girls

Female children and adolescents from birth until adulthood, often discussed in research and studies related to development, socialization, and health.

Boys

Male children or adolescents.

Early Maturing Male

Refers to boys who reach puberty ahead of their peers, experiencing physical and hormonal changes sooner than expected.