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 16g Proteins 8g 55 g 38 g Carbohydrates Vitamin C 2g 2g Cholesterol 55mg 46 mg a. Define the variables used and formulate the linear programming model for this problem.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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b. Graph the constraints and identify the feasible region.
c. Find the optimal solution and interpret the results.
Corner Points
Objective Function
O FU
TECHN
Transcribed Image Text:b. Graph the constraints and identify the feasible region. c. Find the optimal solution and interpret the results. Corner Points Objective Function O FU TECHN
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
89
Tofu
16g
38 g
Proteins
55 g
Carbohydrates
2g
2g
Vitamin C
46 mg
55mg
Cholesterol
a. Define the variables used and formulate the linear programming model for this
problem.
Transcribed Image Text: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 89 Tofu 16g 38 g Proteins 55 g Carbohydrates 2g 2g Vitamin C 46 mg 55mg Cholesterol a. Define the variables used and formulate the linear programming model for this problem.
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