A merchant sells two models X and Y of TV at 725000 and 750000 per set respectively
He gets a profit of 1500 on model X and T2000 on model Y. The sales cannot exceed
20 sets in a month. If he cannot invest more than 6 lakh rupees, formulate the problem of
determining the number of sets of each type he must keep in stock for maximum profit
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Answer:
Let the shopkeeper purchases x T.V. sets.
And, Purchases y DVD players.
Therefore,
Main constraints :
x+y ≤ 750
6500x+2800y ≤ 12,00,000
Non-negativity constraints :
x ≥ 0
y ≥ 0
And,
Objective function, Z(maximize)=8600x + 3900y
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