Chapter 3.2, Problem 2E

Reminder Round all answer to two decimal places unless otherwise indicated.

More on the Dairy This is a continuation of Exercise 1. The yearly income 1, in dollars, for the dairy comes from milk production, which depends on the number $C$ of dairy cows. Each dairy cow produces $2500$ gallons of milk per year, and the dairy sells milk for $\$2.00$ per gallon.

a. Find a formula that gives l as a linear function of $C.$

b. Using the information from Exercise 1, determine the smallest number of cows the dairy needs in order to (at least) break even. Your answer should be a whole number.

A Dairy A dairy spends $\$25,000$ per year to maintain its barns and equipment. It costs $\$2000$ per year to feed and care for each dairy cow.

a. Using $C$ for the number of dairy cows and $E$ for the total yearly expense, in dollars, find formula that gives the total yearly expense as a linear function of the number of dairy cows.

b. Use functional notation to express the total expense f the dairy has $30$ cows.

c. Calculate the value from part b.