SE 303 Lab Production problem Diet problem

2 Production Problem • Giapetto’s woodcarving manufactures have two types of wooden toys: soldiers and trains • • Constraints: – 100 finishing hour per week available – 80 carpentry hours per week available – produce no more than 40 soldiers per week Objective: maximize profit

Giapetto’s woodcarving manufactures

Selling Price Raw Material required Variable Cost Finishing Labor required Carpenting labor required Soldier $27 $10 $14 2 hrs 1 hr Train $21 $9 $10 1 hr 1 hr

Production Problem

Diet Problem • • The technical staff of a hospital wishes to develop a computerized menu planning system. Three major categories: vegetables, meat, and dessert

Constraints • • At least one equivalent serving of each category is desired Minimal requirement of carbohydrates, vitamins, protein, and fats per meal are respectively 5, 10, 10, and 2

Cost and content • Cost per serving • Content of carbohydrates, vitamins, protein and fats in the following table

Table

Vegetables

Peas Green beans Okra Corn Macaroni Rice

Meat

Chicken Beef Fish

Dessert

Apple Pudding Jello Carbohydrates Vitamins Protein Fats 1 1 1 2 4 5 2 3 3 1 1 1 1 3 5 5 6 2 1 1 8 6 3 2 0 0 1 2 1 1 1 1 3 5 6 1 0 0 0 1 1 0 0 0 2 1 2 1 0 0 0 0 Cost (dollars per serving) 0.10

0.12

0.13

0.09

0.10

0.07

0.70

1.20

0.63

0.28

0.42

0.15

0.12

Objective Function

Constraints

Constraints