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

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

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    2021-07-31T04:50:37+00:00

    Answer:

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    2021-07-31T04:51:08+00:00

    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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