Question

A coffee business sells a pound of coffee for $ 9.75. Monthly expenses are $ 4,500 plus $ 4.25 for every pound of coffee sold. a. Write an IT function for total monthly income as a function of the number of pounds of coffee sold. b. Write a GT function for total monthly expenses as a function of the number of pounds of coffee sold. c. Write a function G for monthly profitability (profit) as a function of the number of pounds of coffee sold.

Answer 1

Answer:

a. IT = 9.75 * X

b. GT = 4500 + 4.25 * X

c. G = 9.75 * X - 4500 - 4.25 * X

Step-by-step explanation:

With the data of the statement we can get a function. Let X be the number of pounds sold.

to. Monthly income

IT = 9.75 * X

b. Monthly expenses

GT = 4500 + 4.25 * X

c. Monthly Earnings (Monthly Income - Monthly Expenses)

G = 9.75 * X - (4500 + 4.25 * X)

G = 9.75 * X - 4500 - 4.25 * X

Answer 2

a. The IT function should be = $9.75 \times X$

b. The GT function is = $4500 + 4.25 \times X$

c. The function G is = $9.75 \times X - 4500 - 4.25 \times X$

Calculation of the functions:

here we assume X be the number of pounds sold.

Since A coffee business should sell the coffee for $ 9.75. Monthly expenses are $ 4,500 along with $ 4.25 for each pound of coffee.

So,

a. The IT function is $9.75 \times X$

b.  The GT function should be $4500 + 4.25 \times X$

c. The function G should be $G = 9.75 \times X - (4500 + 4.25 \times X)$

learn more about function here: https://brainly.com/question/24448736