A book publisher found that the cost to produce 1000 calculus textbooks is $26,300, while the cost to produce 2000 calculus textbooks is $52,900. Assume that the cost C(x) is a linear function of x, the number of textbooks produced. What is the marginal cost of a calculus textbook?

$26.60

Step-by-step explanation:

Calculation for the marginal cost of a calculus textbook

Marginal cost =($52,900-$26,300)/(2,000-1,000)

Marginal cost=$26,600/1,000

Marginal cost=$26.60

Or

First step

$52,900=2,000x +c equation (1)

$26,300= 1,000x+c equations (2)

Second step is to subtract equation (1) from equation (2)

$52,900=2,000x +c equation (1)

-$26,300= 1000x+c equations (2)

$26,600=1,000x

Third step is to find the marginal cost

$26,600=1,000x

x=26,600/1,000

x=$26.60

Therefore the marginal cost of a calculus textbook will be $26.60