Solve the Linear Programming Problem

question 350

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 RV windshields. Because the first-shift crews are more experienced, they are each able to make 7 truck
Windshields, 12 auto windshields, and 9 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) 28 first-shift crews and 10 second-shift crews
• C) 37 first-shift crews and 36 second-shift crews
• D) 43 first-shift crews and 24 second-shift crews

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Definitions:

Logistics Department

A division within a company that is responsible for overseeing the flow of goods and materials from suppliers to the end customer, including storage and transportation.

Operating Divisions

Separate segments or areas of a business that perform operations or services distinct from the company's primary business.

Variable Costs

Expenses that directly fluctuate with the amount of goods produced or the extent of services offered.

Fixed Costs

Costs that remain constant regardless of production or sales volume, like lease payments and wages.