Question
Chloe Ting is on a low cholesterol diet. During lunch at the canteen, she always chooses between two meals, Pasta or Tofu. The table below
Chloe Ting is on a low cholesterol diet. During lunch at the canteen, she 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 she is trying to minimize. Chloe 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 she 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 her cholesterol intake?
Pasta | Tofu | |
Proteins | 8g | 16g |
Carbohydrates | 55g | 38g |
Vitamin C | 2g | 2g |
Cholesterol | 55mg | 46mg |
REQUIREMENTS:
a. Define the variables used and formulate the linear programming model for this problem.
b. Graph the constraints and identify the feasible region.
c. Find the optimal solution and interpret the results.
Corner Points | Objective Functions |
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