You are given the following data for a linear programming problem where the objective is to minimize the cost of conducting two nonnegative activities so as to achieve three benefits that do not fall below their minimum levels. Benefit Contribution per Unit of Each Be Activity Minimum Actvity 1 Activity 2 Acceptable Level 1 3 60 2 30 7 9. 126 Unit cost $60 $50 Formulate a linear programming model for this problem (specifiy your decision variables, objective, and constraints).

Formulate but do not solve the following exercise as a linear programming problem. A nutritionist at the Medical Center has been asked to prepare a special diet for certain patients. She has decided that the meals are to be prepared from Foods A and B and that the meals should contain a minimum of 390 mg of calcium, 10 mg of iron, and 40 mg of vitamin C. Each ounce of Food A contains 25 mg of calcium, 2.5 mg of iron, 2 mg of vitamin C, and 6 mg of cholesterol. Each ounce of Food B contains 25 mg of calcium, 0.5 mg of iron, 5 mg of vitamin C, and 5 mg of cholesterol. How many ounces of each type of food should be used in a meal so that the cholesterol content C (in mg) is minimized and the minimum requirements of calcium, iron, and vitamin C are met? Minimize      C  =             subject to the constraints calcium             iron             vitamin C                     x ≥ 0         y ≥ 0

which options are correct ?

Linear Programming: I got started on it, please follow up with my solution or give a better one

Explain important characteristics of situations to which linear programming method can be successfully applied. Assume a suitable example A firm manufactures three products A, B, and Time to manufacture product A is twice that for B and thrice that for C and if the entire labour is engaged in making product A, 1,600 units of this product can be produced. These products are to be produced in the ratio 3:4:5. There is demand for at least 300, 250 and 200 units of products A, B and C and the profit earned per unit is sh. 90, sh. 40 and sh. 30 respectively. Table Raw material Requirement per unit of product (kg) Total availability (kg) A B C P 6 5 2 5,000 Q 4 7 3 6,000 Formulate the problem as a linear programming problem.