The manufacturing company Omega discontinued production of a certain unprofitable product line. This action created considerable excess production capacity. Management wants to devote this capacity to one or more of three products, called 1, 2 and 3. The following table summarizes the available capacity of each machine that can limit production: (--) The number of machine-hours required to manufacture each unit of the respective products is unit of the respective products is Productivity coefficient (in hours) (--) The sales department indicates that potential sales of products 1 and 2 exceed the maximum production rate and that potential sales of product 3 are 20 units per week. The unit profit would be $50, $20, and $25, for products 1, 2, and 3, respectively. The objective is to determine how many of each type of product The objective is to determine how many of each type the company must produce to maximize profit. a) Formulate a linear programming model for this problem.
The manufacturing company Omega discontinued production of a certain unprofitable product line. This action created considerable excess production capacity. Management wants to devote this capacity to one or more of three products, called 1, 2 and 3. The following table summarizes the available capacity of each machine that can limit production:
(--)
The number of machine-hours required to manufacture each unit of the respective products is unit of the respective products is Productivity coefficient (in hours)
(--)
The sales department indicates that potential sales of products 1 and 2 exceed the maximum production rate and that potential sales of product 3 are 20 units per week. The unit profit would be $50, $20, and $25, for products 1, 2, and 3, respectively. The objective is to determine how many of each type of product The objective is to determine how many of each type the company must produce to maximize profit.
a) Formulate a linear programming model for this problem.
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