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
Hatshy [7]
3 years ago
15

To make a profit, a company’s revenue must be greater than its operating costs. The company’s revenue is modeled by the expressi

on 7.5x – 100, where x represents the number of items sold. The company’s operation costs are modeled by the expression 79.86 + 5.8x. How many items does the company need to sell to make a profit? The inequality that will determine the number of items that need to be sold to make a profit is ? The solution to the inequality is ? The company must sell at least?  items to make a profit.
Mathematics
2 answers:
snow_lady [41]3 years ago
9 0

Answer:

1. 7.5x - 100 > 79.86 + 5.8x (Option A)

2. x > 105.8 (Option D)

3. 106 (Option D)

Step-by-step explanation:

Just completed the assignment and got 100%. Hope this helps :)

valina [46]3 years ago
8 0
Revenue = 7.5x - 100
Operation Costs = 5.8x + 79.86

To break even, operation cost = Revenue
⇒ 7.5x - 100 = 5.8x + 79.86
7.5x = 5.8x + 179.86 (Add 100 to both sides)

7.5x - 5.8x = 179.86
1.7x = 179.86
x = 105.8

This implies that the company will need to sell at least 106 items to make a profit.

The inequality that will determine the number of items at need to be sold to make a profit is x ≥ 106

The solution to the inequality is as follows

Revenue = 7.5x - 100
if x =106
Revenue = 7.5(106) - 100
Revenue = 695

Operational Cost = 5.8x + 79.86
if x = 106
Operational Cost = 5.8(106) + 79.86
Operational Cost = 694.66

Profit ≥ (695 - 694.66)
Profit ≥ 0.34

The company must sell at least 106 items to make a profit.
You might be interested in
HELP DUE IN 10 MINS! <br><br> The lighthouse is ?? feet above the water.
jasenka [17]

Answer:

<u>Use tangent:</u>

  • BL/BS = tan S
  • x / 144 = tan 25°
  • x = 144 tan 25°
  • x = 67 ft (rounded)

3 0
3 years ago
C<br> 10 mm<br> 24 mm<br> What is the length of the hypotenuse?
kompoz [17]

Answer:

26

Step-by-step explanation:

The Pythagorean Theorem states that a² + b² = c²

so, c = √(a² + b²)

10² + 24² = 676

√676 = 26

5 0
2 years ago
How do you make a fraction that’s greater than one or just a fraction into a mixed number?
sergiy2304 [10]

Answer:

You multiply the denominator and the whole number then add the numerator.

Step-by-step explanation:

Example: 3\frac{2}{4}

You multiply 3 and 4

3*4=12

Then add the numerator

12+2=14

The final answer would be

\frac{14}{4}

6 0
3 years ago
There are 34 cows 22 pigs and 6 horses on a farm write a simplified ratio of pigs to all farm animals
forsale [732]
A simplified ratio would be 11:20
6 0
3 years ago
Three friends split their lunch check,witch was $32.85 how much did each person have to pay if each one included a $2 tip ?
san4es73 [151]
I think the answer will be $34.85
4 0
3 years ago
Other questions:
  • A small airplane can carry less than 1,050 pounds of luggage and mail. The mail for the day weighs 490 pounds. If each passenger
    15·1 answer
  • Here are two steps from the derivation of the quadratic formula.
    13·1 answer
  • Help idk what to do help
    7·1 answer
  • If f(x) = x^2 is vertically stretched by a factor of 3 and shifted down 7 to form g(x), which of the following equations best re
    9·2 answers
  • A food company is testing for 4 chocolate chip cookies, 5 crackers, and 6 reduced fat crackers. If it plans to market 1 of the c
    13·1 answer
  • Pam has 15 candies in her bag. Her mother puts another handful of candies into the bag. Pam counts all the candies and she now h
    12·2 answers
  • 6 x ____ = 9<br><br> 6 times what number equals 9
    11·2 answers
  • I need help please last question of test
    8·2 answers
  • Use the graph to write a linear function that relates y to x
    7·1 answer
  • What is the value of t?
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!