Solve the Problem $\$ 360.00$ Per Crew Per Shift and the Second Shift Crews Each

Solve the 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 more experienced first shift crews cost the company $\$ 360.00$ per crew per shift and the second shift crews each cost $\$ 310.00$ 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 they schedule to minimize costs?

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