A contractor purchases a backhoe for $36800. Fuel and standard maintenance cost $6.15 per hour, and the operator is paid $11.74 per hour.

a. Write a cost function for the cost $C$ of operating the backhoe for $x$ hours. Be sure to include the purchase price in the cost function.

Cost equation: $C$ = dollars

b. If customers pay $33.3 per hour for the contractor's backhoe service, write the revenue function $R$ for the amount of revenue gained from $x$ hours of use.

Revenue equation: $R$ = dollars

c. Write the profit function $P$ for the amount of profit gained from $x$ hours of use.

Profit equation: $P$ = dollars

d. Use part c. to find the number of hours the backhoe must be used to break even (when Profit = 0). Please make sure your answer is correct to at least the nearest whole number.

Break even = hours.