## A dealer deals in two products X & Y. He has ₹1,00,000/- to invest & space to store 80 pieces. Product X costs ₹ 2500/- &a

Question

A dealer deals in two products X & Y. He has ₹1,00,000/- to invest & space to store 80 pieces. Product X costs ₹ 2500/- & product Y costs ₹ 1000/- per unit. Construct the LPP and find the number of units of each product to be purchased.

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1 month 2021-07-31T04:49:37+00:00 2 Answers 0 views 0

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2. Given : A dealer deals in two products X & Y. He has ₹1,00,000/- to invest & space to store 80 pieces. Product X costs ₹ 2500/- & product Y costs ₹ 1000/- per unit.

To Find : Construct the LPP and

the number of units of each product to be purchased.

Solution:

Let say unit to be bought for product X are x  and product Y are y

space to store 80 pieces

x + y  ≤ 80

He has ₹1,00,000/- to invest

=> 2500x  + 1000y ≤ 100000

=> 25x + 10y ≤ 1000

=> 5x  + 2y ≤ 200

x + y  ≤ 80

5x  + 2y ≤ 200

x = 40 , y = 0

x = 40/3  , y =  200/3

x = 0   ,  y = 80

Now further conditions are not provided that what is best to buy