The manager of a restaurant found that the cost of producing 100 cups of coffee is $11.02, while the cost of producing 400 cups is $40.12. Assume that the cost C(X) is a linear function of x, the number of cups produced.
a) Find a formula for C(x)
b) Find the total cost of producing 1000 cups
c)Find the total cost of producing 1001 cups
d) Find the marginal cost of producing the 1000th cup
e) What is the marginal cost of producing any cup?