1. Job is on a low cholesterol diet. During lunch at the LST canteen, he always chooses between two meals, Pasta or Tofu. The table below lists the amount of protein, carbohydrates, and vitamins each meal provides along with the amount of cholesterol he is trying to minimize. Job needs at least 180 grams of protein, 930 grams of carbohydrates, and 40 grams of vitamins for lunch each month. Over this time period, how many days should he have the Pasta meal, and how many days the Tofu meal so that he gets the adequate amount of protein, carbohydrates, and vitamins and at the same time minimizes his cholesterol intake? Pasta Tofu Proteins 8 g 16 g Carbohydrates 55 g 38 g Vitamin C 2 g 2 g Cholesterol 55mg 46 mg REQUIRED: a. Define the variables used and formulate the linear programming model for this problem. b. Graph the constraints and identify the feasible region. c. Complete the table on corner points and their z-values. d. Find the optimal solution and interpret the results.
1. Job is on a low cholesterol diet. During lunch at the LST canteen, he always chooses between two meals, Pasta or Tofu. The table below lists the amount of protein, carbohydrates, and vitamins each meal provides along with the amount of cholesterol he is trying to minimize. Job needs at least 180 grams of protein, 930 grams of carbohydrates, and 40 grams of vitamins for lunch each month. Over this time period, how many days should he have the Pasta meal, and how many days the Tofu meal so that he gets the adequate amount of protein, carbohydrates, and vitamins and at the same time minimizes his cholesterol intake?
Pasta Tofu
Proteins 8 g 16 g
Carbohydrates 55 g 38 g
Vitamin C 2 g 2 g
Cholesterol 55mg 46 mg
REQUIRED:
a. Define the variables used and formulate the linear programming model for
this problem.
b. Graph the constraints and identify the feasible region.
c. Complete the table on corner points and their z-values.
d. Find the optimal solution and interpret the results.
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