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 15 units?

Options:

Total Cost = ₹6000, Average Cost = ₹400

Total Cost = ₹6300, Average Cost = ₹420

Total Cost = ₹300, Average Cost = ₹20

Total Cost = ₹6020, Average Cost = ₹401.33

Correct Answer:

Total Cost = ₹6300, Average Cost = ₹420

Explanation:

The correct answer is Option (2) → Total Cost = ₹6300, Average Cost = ₹420

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 15 units = $\left.TC\right|_{x=15}$

$=₹(6000+ 20 × 15) = ₹6300$

∴ Average cost of producing 15 units = $₹\frac{6300}{15}=₹420$.