The Lincoln Parish Water Department charges a basic rate of $5.00 per month per household customer in shreveport plus an additional $0.004 for each additional gallon of water consumed in 2017. There...

The Lincoln Parish Water Department charges a basic rate of $5.00 per month per household customer in shreveport plus an additional $0.004 for each additional gallon of water consumed in 2017. There are $800,000 household water consumers in the parish.

a. Develop the revenue function for the Lincoln Parish Water Department.

b. What was the total revenue for the month of February 2018, if the amount of water consumed by households in the parish were 75,000,000 gallons in the month?

c. What is the marginal revenue of the Lincoln Parish water Department?