Maximize the Object Function $z = 10 x + 8 y$

question 15

Multiple Choice

Maximize the object function $z = 10 x + 8 y$ subject to the constraints $x + 5 y \leq 25 , x + y \leq 9,4 x + 2 y \leq 32 , x \geq 0 \text {, and } y \geq 0$ .

• A)The maximum value is 90 at \(( 5,4 )\) .
• B)The maximum value is 122 at \(( 5,9 )\) .
• C)The maximum value is 130 at \(( 9,5 )\) .
• D)The maximum value is 86 at \(( 7,2 )\) .
• E)The maximum value is 56 at \(( 4,2 )\) .

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Definitions:

Phenotypic Ratio

The proportion of different phenotypes observed in the offspring of a particular genetic cross.

Guinea Pigs

Small rodents often used as pets or in research as model organisms for biological studies.

Heterozygous

A genetic condition where an individual has two different alleles of a gene, one inherited from each parent, leading to variation in genetic expression.

Probability

A measure of the likelihood that an event will occur, often expressed as a numerical value between 0 and 1.