Solve the Linear Programming Problem $310 \mathrm { RV }$ Windshields $9 \mathrm { RV }$

question 477

Multiple Choice

Solve the linear programming problem.
-An automotive glass plant must be able to fill orders for 230 truck windshields, 350 auto windshields, and $310 \mathrm { RV }$ windshields. Because the first-shift crews are more experienced, they are each able to make 7 truck windshields, 12 auto windshields, and $9 \mathrm { RV }$ windshields. The second-shift crews are able to produce 4 truck windshields, 12 auto windshields, and 7 RV windshields. The first-shift crews cost the company $\$ 360.00$ per crew per shift, and the second-shift crews cost $\$ 310.00$ per crew per shift. The company's facilities will handle at most 50 crews on each shift, and they must have at least 10 crews come in to keep the plant running. How many first-shift and how many second-shift crews should be scheduled to minimize costs?

• A) 51 first-shift crews and 17 second-shift crews
• B) 43 first-shift crews and 24 second-shift crews
• C) 28 first-shift crews and 10 second-shift crews
• D) 37 first-shift crews and 36 second-shift crews

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Definitions:

Quantity

A measurable amount or the total number of units of a product, material, or substance.

Quality Of Work

The degree to which a task or project is executed with excellence, precision, and effectiveness, meeting or exceeding standards.

Expectancy Theory

A motivational theory that suggests an individual's motivation is an outcome of how much an individual wants a reward (Valence), the assessment that the likelihood that the effort will lead to expected performance (Expectancy) and the belief that the performance will lead to a reward (Instrumentality).

Motivate Employees

The act of inspiring and encouraging workers to perform their duties effectively and with enthusiasm.