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Homework 3 Introduction To Project Management

962 words - 4 pages

92 (2)
Let be the number of grade 9 oranges O.J. uses for bags, be the number of grade 9 oranges O.J. uses for juice, be the number of grade 6 oranges O.J. uses for bags, and be the number of grade 6 oranges O.J. uses for juice. The objective is to maximize the profit. For juice, the profit will be ($1.50$1.05)*( + ), and for bags, the profit will be ($0.50-$0.20)*( + ). Thus, the total profit will be . The objective function is: Maximize The constraints are: Constraint 1: The total number of grade 9 oranges is 100,000 lb. That is, Constraint 2: The total number of grade 6 oranges is 120,000 lb. That is, Constraint 3: The average quality of juice is at least 8. That is, This gives us: ...view middle of the document...

From the last paragraph, we know that all the products 2 we make from will be sold. Note that all the variables except are in ounces, and is in pounds. The objective is to maximize the profit. . Thus, the total revenue is $10 . The total cost is the cost processing and the cost of raw material. Since each pound of raw material can yield 3 oz of product 1 and 1 oz of product 2, the number of raw materials . And the processing cost , that is, . Thus the total cost is

. Therefore, the total profit is total revenue minus total cost, which is equal to . The objective function is Maximize The constraints are: Constraint 1: The maximum number of product 1 that can be sold is 5,000 oz. That is, Constraint 2: The maximum number of product 2 that can be sold is 5,000 oz. That is, Constraint 3: The maximum number of product 3 that can be sold is 3,000 oz. That is, Constraint 4: Only 25,000 hours of labor is available. That is, Constraint 5: All the products 2 (or products 1) are made from raw materials. That is,

Or Constraint 6: All variables must be nonnegative. That is,

118 (34)
Let be the numbers of production of air conditioners at New York in the first, second, and third month, respectively. Let be the numbers of production of air conditioners at L.A. in the first, second, and third month, respectively. Let be the...

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