NUTRITION PROBLEMS

Problem 1.79

The managers of several cattle feed lots are interested in determining how many of each of several types of livestock feeds to purchase in order to satisfy the nutritional requirements for their livestock. They wish to purchase these food in a manner that minimises the cost of feeding their livestock. Relevant costs and nutritional data is as below.

Relevant costs and nutritional data

Required: Formulate the LP model

Solution

Let xi be the number of units of food type (j = 1, 2, 3, 4) used

  Since the objective is to minimize the cost, the objective function is given by —
Minimise Z = 1x1 + 2x2 + 3x3 + 4x4
Subject to constraints:
40 ...

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