Skip to main contentSkip to solution

A company produces two types of belts A & B with a profit of Rs 2 and Rs 1.50 respectively. Belt of type A needs twice as much time to make as belt type B . The company can produce at the most 1000 belts of type B per day . Material for 800 belts is available per day . At the most , 400 buckles for belt type A and 700 for belts type B are available . Then the appropriate LPP is :

Solution

✅ Correct Option: 4

Let x = belts of A, y = belts of B.

Material constraint: x+y≤800x + y \leq 800.

Buckles: x≤400x \leq 400, y≤700y \leq 700.

Time: A takes twice the time of B; if B's max is 1000, then 2x+y≤10002x + y \leq 1000.

Objective: Maximize Z = 2x + 1.5y.

Non-negativity: x,y≥0x, y \geq 0.

Keyboard Shortcuts

  • Left arrow: Previous question
  • Right arrow: Next question
  • S key: Jump to solution
  • Q key: Jump to question