Question: If the relationship between the total cost and the number of units produced is linear and if the total cost increases by $3 for each additional unit made:

a. Find the equation of the total cost function C(x) using the fact that C(1,000) = 30,000 (dollars) where x is the number of units produced.

b. Graph C(x) for 0 ≤ X ≤ 3000.

c. Find and interpret each of the following:

i. C(0)

ii. C(100)

iv. C(1,001) - C(1,000)