Can you find the change in cost C for the given marginal?

Question

Find the change in cost C for the given marginal. Assume that the number of units x increases by 3 from the specified value of x. (Round your answer to two decimal places.)

Marginal: dC/dx = 26,000/x^2

Number of units x: x = 18

Answer 1

Marginal:

Approximating the marginal:

Solving for ΔC,

So ΔC = (26,000)(3)/18²) = $240.74