Target Exam

CUET

Subject

-- Applied Mathematics - Section B2

Chapter

Calculus

Question:

For manufacturing a certain item, the fixed cost is ₹6000 and the cost of producing each unit is ₹20. What is the total cost and average cost of producing 100 units?

Options:

Total Cost = ₹2000, Average Cost = ₹20

Total Cost = ₹6000, Average Cost = ₹60

Total Cost = ₹8000, Average Cost = ₹80

Total Cost = ₹8000, Average Cost = ₹100

Correct Answer:

Total Cost = ₹8000, Average Cost = ₹80

Explanation:

The correct answer is Option (3) → Total Cost = ₹8000, Average Cost = ₹80

Total fixed cost = ₹6000,

variable cost of producing one unit = ₹20

∴ Total cost, $TC = ₹(6000+ 20x)$, where x is the number of units produced.

Total cost of producing 100 units = $₹(6000+ 20 × 100)=₹8000$

∴ Average cost of producing 100 units = $₹\frac{8000}{100}=₹80$