1. A company produces three sizes of window fans small, medium and large. The manger has formulated an LP model for fan production
Maximize 6xl + 8x2 + 5x3
Subject to
Labour 3x1 + 4x2 + 5x3 ≤ 160 hours
Metal 1x₁ + 2 x 2 +3 x 3 ≤ 100 pounds
plastic 2x1+ 2x2+2 x 3 ≤ 110 pounds
X₁, X2 & x3 >0
Required: Briefly explain or define each of these parts of the model.
a. x1, x2,&x3
b. the 6 in the objective function
c. the terms labour, metal and plastic
d. The 160 hours
e. X1, x2 & x3 ≥0 .
