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

Question

Quizplus · Accepted Answer

To solve this linear programming problem, we need to minimize the cost function while satisfying the constraints for the production of truck, auto, and RV windshields. The correct answer, 28 first-shift crews and 10 second-shift crews, satisfies the production requirements at the minimum cost while adhering to the constraints of crew numbers and production capabilities.

Solve the Linear Programming Problem