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The Charm City Cereal Company makes a cereal from several ingredients. Two of the ingredients, oats and rice, provide vitamins A and B. The company wants to know how many ounces of oats and rice it should include in each box of cereal to meet the minimum requirements of 50 milligrams of vitamin A and 25 milligrams of vitamin B while minimizing cost. An ounce of oats contributes 8.45 milligrams of vitamin A and 1.18 milligram of vitamin B, whereas an ounce of rice contributes 6.34 milligrams of vitamin A and 2.23 milligrams of vitamin B. An ounce of oats costs $0.10, and an ounce of rice costs $0.07.
(a) Define the decision variables.
(b) Determine the objective function. What does it represent?
(c) Determine all the constraints. Briefly describe what each constraint represents.
Note: Do NOT solve the problem after formulating.
A firm that manufactures medical research supplies delivers them to hospitals and medical centers around the country. The deliveries can be made using Less-than-Truck-load trucks, air express, private truck fleet, and UPS. What factors should be cons..
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For the linear program. Max 4A+1B s.t. 10A+2B≤30 3A+2B≤12 2A+2B≤10 A,B ≥0 a. write this problem in standard form. b. solve the problem using the graphical solution procedure. c. what are the values of the three slack variables at the optimal solution..
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