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Question

A shopkeeper sells two items, colour T.V. sets and DVD players. He can invest Rs 12,00,000 and can store only 750 items. The cost of colour TV and DVD player is Rs 6500 and Rs 2800 respectively. He can sell these items at a price of Rs 8600 and Rs 3900 respectively. Form the LPP to maximize the profit.

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Solution

Let the shopkeeper purchases x T.V. sets.
And, Purchases y DVD players.
Therefore,
Main constraints :
x+y750
6500x+2800y12,00,000
Non-negativity constraints :
x0
y0
And,
Objective function, Z(maximize)=8600x+3900y

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