Find the Value(s) of the Function, Subject to the System $$z = 18 x + 24 y \text { subject to } x \geq 0 , y \geq 0,4 x + 5 y \leq 30,4 x + 3 y \leq 20 , x \leq 5 , y \leq 8$$

question 67

Multiple Choice

Find the value(s) of the function, subject to the system of inequalities.
-Find the maximum and minimum of $$z = 18 x + 24 y \text { subject to } x \geq 0 , y \geq 0,4 x + 5 y \leq 30,4 x + 3 y \leq 20 , x \leq 5 , y \leq 8$$

• A) -144; 0
• B) -97.5; -144
• C) 90; 0
• D) 90; -144

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Definitions:

Disjunction

A logical operation yielding a true statement when at least one of its component statements is true.

Notation P(B\A)

In probability, the notation representing the conditional probability of event B given that event A has occurred.

Operations Of Probability

Mathematical functions applied to the set of outcomes of a random phenomenon.

Six-Sided Die

A cube-shaped object with each of its six faces displaying a different number of dots from one to six, used in games to generate random numbers.