Formulate the Algebraic model

Formulate the Algebraic model




A manufacturer makes two products, cars and trucks.  The manufacturer is planning optimal production for the next planning period through profit maximization. Each type of vehicle must be assembled through the same two assembly areas. The Body Assembly area has 60 hours of available production time. The Interior Assembly area has 80 hours of available production time. Assembly of a Car requires 1 hour in Body Assembly and 4 hours in Interior Assembly. Assembly of a Truck requires 3 hours in Body Assembly and 2 hours in Interior Assembly. Profit is $2000 per Car and $1500 per Truck.  For the next planning period, management has required that at least 8 Cars must be produced to meet orders on hand.



Formulate the algebraic model below:            

                        

Define the Decision Variables:    

            

Objective Function:                

                        

Subject to Constraints:  





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