Maximize the Object Function $z = 2 x + y$ Subject to the Constraints

question 42

Multiple Choice

Maximize the object function $z = 2 x + y$ subject to the constraints $3 x + y \leq 15,4 x + 3 y \leq 30 , x \geq 0 , \text { and } y \geq 0$ .

• A)The maximum value is 10 at \(( 2,6 )\) .
• B)The maximum value is 4 at \(( 1,2 )\) .
• C)The maximum value is 10 at \(( 3,4 )\) .
• D)The maximum value is 12 at \(( 3,6 )\) .
• E)The maximum value is 5 at \(( 2,1 )\) .

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Definitions:

Input Prices

The costs associated with the purchase of the raw materials, labor, and other inputs required in the production of goods or services.

Short- And Long-Run

Terms used in economics to differentiate between time periods: short-run where at least one input is fixed and long-run where all inputs are variable.

Classroom Experiment

An educational exercise or activity conducted in a classroom setting to demonstrate a principle or theory through practical experience.

Willing To Sell

The readiness or openness of a seller to part with goods or assets at a certain price.