Question

The total cost in rupees associated with the production of x units is given by C(x)=0.005x³—0.004x²+20x+1000. Find the marginal cost when x=10

Answer 1

Answer:

marginal cost = 21.42 when x = 10

Step-by-step explanation:

Marginal cost is the rate of change of total cost with respect to number of units produced

C(x)=0.005x³—0.004x²+20x+1000

Marginal Cost = dC/dx = 0.015x² - 0.008x + 20

the marginal cost when x=10

= 0.015 *(10)² - 0.008 *(10) + 20

= 1.5 - 0.08 + 20

= 21.42

marginal cost = 21.42 when x = 10