Target Exam

CUET

Subject

-- Applied Mathematics - Section B2

Chapter

Calculus

Question:

The total cost of producing x generators is given by

$TC= x^3-60x^2+1500x+2000.$

The Marginal Cost (MC), when x = 10 units is :

Options:

₹2,000

₹1,200

₹600

₹200

Correct Answer:

₹600

Explanation:

Given total cost

$TC=x^3-60x^2+1500x+2000$

Marginal cost

$MC=\frac{d(TC)}{dx}$

$MC=3x^2-120x+1500$

At $x=10$

$MC=3(10)^2-120(10)+1500$

$=300-1200+1500$

$=600$

The marginal cost at $x=10$ units is ₹600.