# Joyce and Marvin run a day care for preschoolers. They are trying to decide what to feed

## Question:

The nutritional requirements are as follows. Each child should receive between 400 and 600 calories. No more than 30 percent of the total calories should come from fat. Each child should consume at least 60 milligrams (mg) of vitamin C and 12 grams (g) of protein. Furthermore, for practical reasons, each child needs exactly 2 slices of bread (to make the sandwich), at least twice as much peanut butter as jelly, and at least 1 cup of liquid (milk and/or juice).

Joyce and Marvin would like to select the food choices for each child which minimize cost while meeting the above requirements.

(a) Formulate a linear programming model for this problem.

(b) Solve this model by the simplex method.

## Step by Step Answer:

**Related Book For**

## Introduction to Operations Research

**ISBN:** 978-1259162985

10th edition

**Authors:** Frederick S. Hillier, Gerald J. Lieberman