Maximize the Object Function $z = 4 x + 3 y$

question 66

Multiple Choice

Maximize the object function $z = 4 x + 3 y$ 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 24 along the line segment connection \(( 0,10 ) \text { and } ( 3,4 )\) .
• B)The maximum value is 30 along the line segment connection \(( 0,15 ) \text { and } ( 3,6 )\) .
• C)The maximum value is 30 along the line segment connection \(( 0,10 ) \text { and } ( 3,6 )\) .
• D)The maximum value is 24 along the line segment connection \(( 0,15 ) \text { and } ( 3,4 )\) .
• E)The maximum value is 30 along the line segment connection \(( 0,30 ) \text { and } ( 3,6 )\) .

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Definitions:

Current Ratio

A liquidity ratio; current assets are divided by current liabilities to indicate a company’s ability to pay its short-term debt. This ratio does not provide as much certainty as the acid test ratio.

Current Assets

Assets that can be converted into cash or used within one year or the normal operating cycle of the business, whichever is longer.

Common-Size Statements

Financial statements that are expressed as a percentage of a certain figure, allowing for easier comparison across time periods and companies by standardizing the data.

Percentage Of Change

A mathematical calculation used to determine the percentage increase or decrease of a value over a period of time.