A company that makes thing-a-ma-bobs has a start up cost of $18263. It costs the company $1.14 to make each thing-a-ma-bob and the company charges $4.06 for each thing-a-ma-bob. Let x represent the number of thing-a-ma-bobs made. Write the cost function for this company. Write the revenue function for this company. Write the profit function for this company.

c (x) = 18263 + 1.14x r (x) = 4.06x p (x) = 2.92x - 18263

Step-by-step explanation:

cost function

Cost for x tambs is the sum of start-up cost and per-unit cost multiplied by the number of units.

c (x) = 18263 + 1.14x

revenue function

Revenue from the sale of x tambs is the product of their price and the number sold.

r (x) = 4.06x

profit function

Profit from the sale of x tambs is the difference between the revenue and cost:

p (x) = r (x) - c (x)

p (x) = 4.06x - (18263 + 1.14x)

p (x) = 2.92x - 18263