CUET Mathematics - A furniture trader deals in only two items - chairs and tables. He has Rs. 50,000 to invest and a space to store almost 35 items. A chair costs him Rs. 1000 and a table costs him Rs. 2000. The trader earns a profit of Rs. 150 and Rs. 250 on a chair and a table, respectively. Choose the correct option among following that describes the given linear programming problem (LPP) to maximize the profit ( where x and y are the number of chairs and tables that trader buys and sells)? | PYQs + Solutions

CUET Mathematics 2025 19 May Shift 1

Algebra

Medium

applied

Maximize $z = 150x + 250y$ ;

Subjected to constants,

$x + y \leq 35, x + 2y \leq 50, x \leq 0, y \geq 0$

Maximize $z = 150x + 250y$ ;

Subjected to constants,

$x + y \leq 35, x + 2y \leq 50, x \geq 0, y \geq 0$

Maximize $z = 150x + 250y$ ;

Subjected to constants,

$x + y \geq 35, 2x + y \leq 50, x \leq 0, y \geq 0$

Maximize $z = 150x + 250y$ ;

Subjected to constants,

$x + y \geq 35, 2x + y \geq 50, x \geq 0, y \geq 0$

✅ Correct Option: 2

CUET Mathematics 2025 19 May Shift 1 PYQs