Target Exam

CUET

Subject

-- Mathematics - Section B1

Chapter

Linear Programming

Question:

A car manufacturing plant produces Sedans and SUV's, using limited resources of steel, labour hours, and machine hours.

  • Each Sedan requires 6 tons of steel, 10 labour hours and 8 machine hours.
  • Each SUV requires 9 tons of steel, 15 labour hours and 12 machine hours.
  • Plant has 600 tons of steel, 1200 labour hours and 1000 machine hours.
  • Profit per Sedan is Rs. 50,000 and per SUV is Rs. 80,000

Using any method, obtain an optimal $(x,y)$.

Options:

$(0,66)$

$(0,70)$

$(100,0)$

None

Correct Answer:

$(0,66)$

Explanation:

The correct answer is Option (1) → $(0,66)$

∴ Z optimal is at (0, 66).