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Mathematical Constraints - Mathematics Assignment Help
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Assignment Task :
QUESTION 1
A patient in a hospital needs at least 18 grams of protein, 6 milligrams of vitamin C and 5 milligrams of iron per meal, which consists of two types of food, A and B. Type A contains 9 grams of protein. 2 milligrams of vitamin C and no iron per mass unit. Type B contains 3 grams of protein, 2 milligrams of vitamin C and 5 milligrams of iron per unit mass. The energy value of A is 800 kilograms and that of B is 400 kilograms per mass unit. There are x mass units of A and y mass units of B on the patient's plate.
14.1 Give, in terms of x and y: 14.1.1 the mathematical constraints which must be satisfied. 14.1.2 the objective function which gives the kilojoule intake per meal.
14.2 Represent the constraints graphically. Shade the feasible region. (Use the scale: 1 unit = 40 mm on x-axis. if assignment is hand-written).
14.3 Deduce from the graphs: 14.3.1 the values of x and y which will give the minimum kilojoule intake per meal for the patient. 14.3.2 the amount of kilojoule which are taken in by the patient in this case.
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