Q.A furniture dealer deals only in two items viz., tables and chairs. He has to invest ₹ 10,000 and a space to store atmost 60 pieces. The cost of a table is ₹ 500 and the cost of a chair is ₹ 200. He can sell all the items that he buys. He is getting a profit of ₹ 50 per table and ₹ 15 per chair. Formulate this problem as an LPP, so as to maximize the profit.

Decision variables $x$ (tables), $y$ (chairs); objective $Z = 50x + 15y$; constraints from ₹10,000 investment, ≤60 pieces of storage, and non-negativity.

Step 1 — Decision variables. Let $x$ = number of tables bought and $y$ = number of chairs bought.

Step 2 — Objective function (maximize profit). Profit is ₹50 per table and ₹15 per chair:

$\text{Maximize } Z = 50x + 15y.$

Step 3 — Investment constraint. Cost ₹500 per table, ₹200 per chair, capital ₹10,000:

$500x + 200y \le 10000.$

Step 4 — Storage (space) constraint. At most 60 pieces: …