1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
VikaD [51]
3 years ago
13

The Audubon Society at Enormous State University (ESU) is planning its annual fund raising "Eat-a-thon." The society will charge

students 87 per serving of pasta. The only expenses the society will incur are the cost of the pasta, estimated at 17€ per serving, and the $350 cost of renting the facility for the evening. (a) Write down the associated cost function C(x) in dollars. C(x) Write down the revenue function R(x) in dollars. R(X) Write down the profit function P(x) in dollars. P(x) (b) How many servings of pasta must the Audubon Society sell to break even? servings (c) What profit (or loss) results from the sale of 1,500 servings of pasta?
Mathematics
1 answer:
lord [1]3 years ago
4 0

Answer:

a) Cost

C(x)=0.17x +350

Revenue

R(x)=0.87x

Profit

P(x)=0.7x-350

b) 500 servings

c) $ 700 dollars

Step-by-step explanation:

a) The total cost is the cost per serving plus the cost of renting the facility

Cost per serving = 0.17 per serving

Cost of renting = 350

and we write:

C(x)=0.17x +350

The total revenue is the what the University charges per serving, which is 87 cents per serving. And we write:

R(x)=0.87x

Profit is Revenue minus Cost, which is:

P(x)= R(x)-C(x)=0.87x-(0.17x +350)= 0.87x -0.17x -350= 0.7x - 350\\\\P(x)=0.7x-350

b) To break even Revenue equals Cost, we write

R(x)=C(x)\\0.87x=0.17x+350\\0.87x -0.17x=350\\0.7x=350\\x=\frac{350}{0.7} =500

<em><u>500 servings must the Audubon Society sell to break even.</u></em>

c) we plug 1,500 into the P(x) equation and we get:

P(x)=0.7x-350\\P(1,500)=0.7(1,500)-350\\P(1,500)=0.7(1,500)-350\\P(1,500)=1,050-350\\P(1,500)=700

<em><u>The sale of 1,500 servings of pasta results in a profit of $ 700 dollars.</u></em>

You might be interested in
A car travels 17 miles on one gallon of gas.
Margarita [4]

Answer:

y*17x

Step-by-step explanation:

y is a gallon so LEARN!

7 0
3 years ago
16+5×4÷2=42 <br><br>insert parentheses to make the statement true
Nat2105 [25]
(16+5)4÷2=42
21×4÷2=42
84÷2=42
42=42
that is were to but you answer
5 0
3 years ago
PLEASE HELP ME OUT!!!
DedPeter [7]

Answer:

20/3  or  6.67  or  6 \frac{2}{3}  (any of these are correct)

Step-by-step explanation:

Volume of triangular pyramid formula is V = 1/3 * base area * height

V = 1/3 * 5 * 4 = 20/3

20/3  or  6.67  or  6 \frac{2}{3}

4 0
2 years ago
PRE-FINAL REVIEW
densk [106]

The equation that can be used to represent total tickets sales is 2170 = 5s + 2f + 10a

<h3>Equation</h3>

let

  • Number of students tickets = s
  • Number of faculty tickets = f
  • Number of alumni tickets = a

Expression for number of students tickets sold;

s = f + 15

Expression for number of faculty tickets sold;

f = 2a

Expression for number of alumni tickets sold;

f = 2a

a = f/2

  • Cost of students tickets = $5
  • Cost of faculty tickets = $2
  • Cost of Alumni tickets= $10
  • Total revenue = $2170

2170 = 5s + 2f + 10a

Learn more about equation:

brainly.com/question/4344214

#SPJ1

5 0
2 years ago
A room is 8 meters wide and 5 meters long and 4 meters high. whats the volume of the room
nydimaria [60]

8 x 5 x 4 = 160m^3

to find the volume of a cube its V= W x H x L

3 0
3 years ago
Other questions:
  • The following graph shows Barry's monthly phone bill and the number of minutes used. About how many minutes did Barry consume if
    10·1 answer
  • Can anyone pls help me in this pls
    8·1 answer
  • Heather, Deon, and Ali served a total of 106 orders. Deon served 4 times as many as Ali. Heather served 10 more orders then Ali.
    12·1 answer
  • What was the names of Jupiter’s big pet dog?
    7·1 answer
  • TRANSLATE INTO AN INEQUALITY!!<br> seven subtracted from c is less than -30
    9·1 answer
  • HELP I WILL LOVE U GUYS !!!!!!!!!!!!!!!!!!!!!!!!
    6·2 answers
  • A family has two cars. The first car has a fuel efficuency of 15 miles per gallon of gas and the second has a fuel efficiency of
    15·1 answer
  • 2.5 quarters weigh approximately 1 ounce. How many pounds would you expect a
    5·1 answer
  • Free brainleist <br><br> What is (75 x 2) + (6-3)
    6·2 answers
  • Tom earns $3200 a month. He pays $950 to rent an apartment. What percent of Tom’s income does he pay
    7·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!