Question: Any help on how to solve would be appreciated 3. Given an LP problem and its computerized solution: Maximization Problem 3.75X1 + 7.63X2 +8.07X3 Subject

Any help on how to solve would be appreciated 3.Any help on how to solve would be appreciated

3. Given an LP problem and its computerized solution: Maximization Problem 3.75X1 + 7.63X2 +8.07X3 Subject to: 1.5X1 + 2X2 + 1X3 = 9,600 4X1 +5X2 + 10X3 = 38,400 1X1 +1.5X2 + 1x3 = 6,000 OX1 + 1X2 + OX3 > 1,000 OX1 + 0x2 + 1X3 3,000 This is a product-mix problem with: X1 = Units of budget X2 = Units of regular X3 = Units of deluxe Go to computer & get print out to answer Constraint: 1. Cutting (minutes) 2. Sewing (minutes) 3. Packing (minutes) 4. Marketing (units) 5. Marketing (units) Objective function value is in dollars. Answer the following questions with your printout: a. Should management increase the capacity of sewing by 10 hours if the cost of such a change is $120? Why or why not? b. The cost of making one unit of a "budget" is $10. What should this product sell for in order to be included in the solution? c. What is the utilization (in percent) of the cutting department? d. Which constraints are not fully utilized? e. Can you have a production plan of product X2 (regular) only? Why or why not? f. Can you have a production plan of product X3 only? Why or why not? g. What will be the total profit if we make 2,990 units of deluxe (instead of 3,000) in the optimal manner? h. Why is there "no limit" on the RHS analysis of constraint (4)? 4. Which of the five constraints in problem (3) above should be considered for investiga- tion? Why? 5. Assume that the RHS of constraint #3 in problem (3) changes to 110 a. What will happen to the value of the objective function? 3. Given an LP problem and its computerized solution: Maximization Problem 3.75X1 + 7.63X2 +8.07X3 Subject to: 1.5X1 + 2X2 + 1X3 = 9,600 4X1 +5X2 + 10X3 = 38,400 1X1 +1.5X2 + 1x3 = 6,000 OX1 + 1X2 + OX3 > 1,000 OX1 + 0x2 + 1X3 3,000 This is a product-mix problem with: X1 = Units of budget X2 = Units of regular X3 = Units of deluxe Go to computer & get print out to answer Constraint: 1. Cutting (minutes) 2. Sewing (minutes) 3. Packing (minutes) 4. Marketing (units) 5. Marketing (units) Objective function value is in dollars. Answer the following questions with your printout: a. Should management increase the capacity of sewing by 10 hours if the cost of such a change is $120? Why or why not? b. The cost of making one unit of a "budget" is $10. What should this product sell for in order to be included in the solution? c. What is the utilization (in percent) of the cutting department? d. Which constraints are not fully utilized? e. Can you have a production plan of product X2 (regular) only? Why or why not? f. Can you have a production plan of product X3 only? Why or why not? g. What will be the total profit if we make 2,990 units of deluxe (instead of 3,000) in the optimal manner? h. Why is there "no limit" on the RHS analysis of constraint (4)? 4. Which of the five constraints in problem (3) above should be considered for investiga- tion? Why? 5. Assume that the RHS of constraint #3 in problem (3) changes to 110 a. What will happen to the value of the objective function

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