SOLUTION: THIS IS A PROBLEM I HAVE FOR MY QUANTITATIVE MATH CLASS. NO IDEA WHAT TO DO. IT IS DUE IN AN HOUR. IF ANYONE CAN HELP THAT WOULD GREATLY BE APPRECIATED! Spencer Motors sells aut

Question 872964: THIS IS A PROBLEM I HAVE FOR MY QUANTITATIVE MATH CLASS. NO IDEA WHAT TO DO. IT IS DUE IN AN HOUR. IF ANYONE CAN HELP THAT WOULD GREATLY BE APPRECIATED!
Spencer Motors sells automobiles and trucks. The firm makes a $400 profit for each automobile it sells and a $280 profit for each truck it sells. The company is planning next quarter's order. The manufacturer says Spencer cannot order more than 300 autos. They also limit the number of trucks Spencer can order to a maximum of 400. Spencer requires 1.75 hours to prepare each auto and 2.5 hours to prepare each truck before it can be sold. Next quarter, the company will have 1000 hours of shop time available for preparation of new vehicles.

Processing Time
Max Order Quantity
Profit
Automobile
1.75
300
$ 400
Trucks
2.50
400
$ 280
Total Available
1000

How many automobiles and trucks should Spencer order if they want to maximize their total profit?
(A) Clearly and completely define your decision variables.
(B) Formulate this problem as a linear programming model. Be sure to include the objective function and all relevant constraints.
(C) Use your favorite method to solve this problem and tell me what the optimal solution is and what the value of the objective function is at this point.
(D) Which constraints are binding? Why are they binding?
Answer by psbhowmick(878) (Show Source): You can put this solution on YOUR website!
Contact me through email for complete solution.
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