Q:

The student government association is selling roses for Valentines Day to raise money for their trip to the state convention.The cost of each rose is $1.50 and the florist charges a delivery fee of $25.The class plans to sell the roses for $5.00 each a. Define the variableb.Write a cost function c. Write a revenue functiond. Write a profit function

Accepted Solution

A:
a. n is the number of roses that they will useb. The cost function is c(n) = 1.5 n + 25c. The revenue function is r(n) = 5 nd. The profit function is p(n) = 3.5 n - 25Step-by-step explanation:The given is:1. The cost of each rose is $1.502. The delivery fee is $253. the selling price of each rose is $5Assume that the number of roses is na. n is the number of roses that they will use∵ The cost of each roes = $1.5∵ The number of roses = n∵ The delivery fee is $25∴ The cost of the n roses is c(n) = 1.5 n + 25b. The cost function is c(n) = 1.5 n + 25∵ The selling price of each rose = $5∵ The number of roses = n∴ The revenue of the n roses is r(n) = 5 nc. The revenue function is r(n) = 5 nThe profit is the difference between the revenue and the cost∵ The profit = revenue - cost∵ r(n) = 5 n ⇒ revenue function∵ c(n) = 1.5 n + 25 ⇒ cost function∴ The profit of n roses = 5 n - (1.5 n + 25)- Simplify it∴ The profit of n roses = 5 n - 1.5 n - 25- Add like term∴ The profit of n roses = 3.5 n - 25d. The profit function is p(n) = 3.5 n - 25Learn more:You can learn more about profit in brainly.com/question/11145277#LearnwithBrainly