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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 variable
b.Write a cost function
c. Write a revenue function
d. Write a profit function

Respuesta :

Ashraf82

a. n is the number of roses that they will use

b. The cost function is c(n) = 1.5 n + 25

c. The revenue function is r(n) = 5 n

d. The profit function is p(n) = 3.5 n - 25

Step-by-step explanation:

The given is:

1. The cost of each rose is $1.50

2. The delivery fee is $25

3. the selling price of each rose is $5

Assume that the number of roses is n

a. 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 + 25

b. 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 n

c. The revenue function is r(n) = 5 n

The 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 - 25

d. The profit function is p(n) = 3.5 n - 25

Learn more:

You can learn more about profit in brainly.com/question/11145277

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