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…
CUET UG 2025 — Mathematics Algebra
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)?
Held on 19 May 2025 · Verified 13 Jul 2026.
Options
- A
Maximize z=150x+250y;
Subjected to constants,
x+y≤35,x+2y≥50,x≥0,y≥0 - B
Maximize z=150x+250y;
Subjected to constants,
x+y≤35,x+2y≤50,x≥0,y≥0 - C
Maximize z=150x+250y;
Subjected to constants,
x+y≥35,2x+y≤50,x≥0,y≥0 - D
Maximize z=150x+250y;
Subjected to constants,
x+y≥35,2x+y≥50,x≥0,y≥0
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