Question

A furniture maker Jatin has 6 units of wood and 28 hours of free time in which he will make decorative screens. Two models have sold well in the past, so he will restrict himself of those two. He estimates that | model 1 requires 2 units of wood and 7 hours of time. Model 2 requires 1 units of wood and 8 hours of time. The prices of the models are Rs 120 and Rs 80 respectively. Formulate LPP to determine how many screens of each model should the furniture maker assemble if the wishes to maximize his sales revenue.

Answer 1

Let the number of units of model I be x and model II be y

	Wood	Time	Price
Model I	2	7	120
Model II	1	8	80
Maximum units	6	28

Maximize z = 120 x + 80 y subject to the constraints 

2x + y ≥ 6 

7x + 8y ≥ 8 

x, y ≥ 0