Question: Question 2 (LP applications) a) [2 marks] Discuss the Redundancy as a special case of LP problems. b) [10 marks] A dietitian wants to design

Question 2 (LP applications) a) [2 marks] Discuss

Question 2 (LP applications) a) [2 marks] Discuss the "Redundancy" as a special case of LP problems. b) [10 marks] A dietitian wants to design a breakfast menu for hospital patients. The menu is to include two items A and B. Suppose that each ounce of A provides 3 units of vitamin C and 2 units of iron and each ounce of B provides 2 unit of vitamin C and 4 units of iron. Suppose the cost of A is 5c/ounce and the cost of B is 6c/ounce. If the breakfast menu must provide at least 12 units of vitamin C and 16 units of iron, how many ounces of each item should be provided in order to meet the iron and vitamin C requirements for the least cost? What will this breakfast cost? i. Determine the Decision variables ii. Formulate the cost function Formulate the mixture constraints iv. Determine the feasible region (graphically), and use the CPS method to decide how much to produce per week as a linear program to minimize the total cost. For health reasons the dietitian wants to decrease the required needed amount of iron in the breakfast menu by 15%. How this will affect the obtained solution. 111. V

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