Question

Q. 1. A Company produces two types of pens. Type I pen requires twice as much labour time as does
each of type II. If all produced pens are of type II only the company can produce a total of 400 pens
a day. The market daily limits are 150 and 200 pens for type I and type II respectively. The profit
per type I pen is Rs. 8 and that of type II is Rs. 5. Formulate the above information as a L.P.P. Use
the graphical method to determine the number of pens that should be produced each time so as to
maximize profit.

Answer 1

Answer:

It implies that if all hats are of 1st type, it will take a day to make 250 hats (since it requires twice the time.)

So it takes 1250day to make 1 hat of type 1 and 1500day to make 1 hat of type 2.

Hence it takes x250day to make x hats of type 1 and y500day to make y hats of type 2.

x250+y500≤1

or,

2x+y≤500

considering per day activities.

Check if the profits refer to per day activities as well.

The objective function is maximum profit per day

z=8x+5y

Explanation: