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.
Answers
Answer:
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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
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