Question

A shopkeeper sells two items, colour T.V. sets and DVD players. He can invest $Rs12,00,000$ and can store only $750$ items. The cost of colour TV and DVD player is $Rs6500$ and $Rs2800$ respectively. He can sell these items at a price of $Rs8600$ and $Rs3900$ respectively. Form the LPP to maximize the profit.

Answer 1

Let the shopkeeper purchases $x$ T.V. sets.

And, Purchases $y$ DVD players.

Therefore,

Main constraints :

$x+y\le 750$

$6500x+2800y\le 12,00,000$

Non-negativity constraints :

$x\ge 0$

$y\ge 0$

And,

Objective function, $Z\left(maximize\right)=8600x+3900y$