Find an Objective Function That Has a Minimum Value at the Indicated

question 89

Multiple Choice

Find an objective function that has a minimum value at the indicated vertex D of the constraint region shown below.

• A)Answer will vary. Sample answer: \(z = x + 3 y\) .
• B)Answer will vary. Sample answer: \(z = 3 x + y\) .
• C)Answer will vary. Sample answer: \(z = 3 ( x + y )\) .
• D)Answer will vary. Sample answer: \(z = 3 ( x + 2 y )\) .
• E)Answer will vary. Sample answer: \(z = 3 ( 2 x + y )\) .

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Definitions:

Variable Manufacturing Overhead

Variable manufacturing overhead includes expenses that fluctuate with production levels, such as materials and utility costs directly associated with manufacturing.

Fixed Manufacturing Overhead

Costs that do not vary with the level of production or sales, such as rent, salaries, and insurance for manufacturing facilities.

Direct Labor-Hours

The collective number of hours that employees, who are directly engaged in the production of a good or the provision of a service, have worked.

Variable Manufacturing Overhead

Costs that vary with manufacturing output, including items like indirect materials and utilities required for production processes.