Solve the Linear Programming Problem

question 330

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

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Definitions:

Income

The total sum of all wages, salaries, profits, interest payments, rents, and other forms of earnings received over a certain period of time.

Convex Preferences

A preference structure in consumer theory where combinations of goods are preferred over single goods, indicating a love for diversification.

Income

A measure of money received by an individual or household over a certain period of time, typically earned through work, investments, or other sources.

Price

The amount of money required to purchase a product or service, typically determined by supply and demand dynamics.