nstruction: Linear Programming Conduct an analysis, identify the known information (givens), and create linear equations (decision variables, objective functions and the constraints). Plot it in the graph and provide recommendation. Problem C At the Institute, Professor- X wishes to employ two people, Juanito and Maria, to grade papers for his classes. Juanito is a graduate student and can grade 20 papers per hour; Juanito earns $15 per hour for grading papers. Maria is a post-doctoral associate and can grade 30 papers per hour; Maria earns $25 per hour for grading papers. Each must be employed at least one hour a week to justify their employment. If Prof-X has at least 110 papers to be graded each week, how many hours per week should he employ each person to minimize the cost?
Instruction: Linear Programming
Conduct an analysis, identify the known information (givens), and create linear equations (decision variables, objective functions and the constraints). Plot it in the graph and provide recommendation.
Problem C
At the Institute, Professor- X wishes to employ two people, Juanito and Maria, to grade papers for his classes. Juanito is a graduate student and can grade 20 papers per hour; Juanito earns $15 per hour for grading papers. Maria is a post-doctoral associate and can grade 30 papers per hour; Maria earns $25 per hour for grading papers. Each must be employed at least one hour a week to justify their employment.
If Prof-X has at least 110 papers to be graded each week, how many hours per week should he employ each person to minimize the cost?
Problem D
Colonel Alexander Hamilton is on a low cholesterol diet. During lunch at the HQ cafeteria, 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. Col. Hamilton needs at least 200 grams of protein, 960 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 |
|
Protein |
8g |
16g |
|
Carbohydrates |
60g |
40g |
|
Vitamin C |
2g |
2g |
|
Cholesterol |
60mg |
50mg |
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