Answer to Question #298300 in Statistics and Probability for RAY

Question

The Star hotel was burned down in a fire and the manager decided to accommodate the guests in 4–person and 8-person tents. The tents were to be hired at a cost of Kshs 1,500 and Kshs 4,500 per night respectively, the space available could accommodate at most 13 tents and the manager had to cope with at least 64 guests. Required Formulate this as a linear programming model that could be used to determine the number of tents of each type that could pull up in order to minimize the overall cost. (10 Marks)

Answer 1

Let x and y represent the tents to accommodate the guests in 4 persons and 8 person respectively.

The model is represented as below

Minimize cost =1500x + 4500y

subject to:

x + y ≤  13 ( Restriction on tents)

4x + 8y ≥ 64 ( Restriction on guests)

x, y ≥ 0 ( Non negativity constraint )