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
maria [59]
3 years ago
12

The cost and revenue functions for producing and selling x units of a product are given. Cost and revenue are expressed in dolla

rs. Upper C (x )equals 75 x plus 84 comma 660 Upper R (x )equals 245 x a. Find the number of units that must be produced and sold to break even. At this​ level, what is the dollar amount coming in and going​ out? b. Write the profit function from producing and selling x units of the product.
Mathematics
1 answer:
Flauer [41]3 years ago
4 0

Answer:

(A) the number of units produced and sold at break-even point is the value of X and that is 1.126 units.

(B) the dollar amount coming in and going out at this point/level is the price of X and that is 0.37 dollars

(C) the profit function for X units produced and sold is: π(x) = R(x) - C(x)

where pie (the symbol "π") represents PROFIT.

Step-by-step explanation:

(A) C(x) = 75x + 84 ...(equation 1)

660R(x) = 245x

R(x) = 245x ÷ 660 = 0.3712x

So R(x) = 0.3712x ...(equation 2)

To find X, equate the cost function to the revenue function

75x + 84 = 0.3712x

X = -1.126units

Since quantity cannot be negative in real life situation, we use the modulus of X in place of the above value.

|X| = 1.126 hence X = 1.126 now

Since we equated cost to revenue in order to get this quantity X, X is the quantity produced and sold at break even point.

Break-even point is the point where cost = revenue

This is also the point where profit is zero because profit = revenue - cost

(B) Revenue = Price × Quantity

R = P×Q

Our revenue here is 0.3712x

Which is equal to 0.418 dollars

So P = R÷Q

Price = 0.418÷1.126 = 0.37 dollars

(C) This is the profit function from producing and selling X units of the product: π(x) = R(x) - C(x)

You might be interested in
What is the table and graph
AfilCa [17]
You need 11.6666666666
3 0
3 years ago
The first and second year’s sales for a company were $328,000 and $565,000. The expenses for the first year were $117,000. The c
Serhud [2]
As a disclaimer, I can't say I'm completely confident in this answer. Use at own risk.

Formulas:

Year 1: 328,000 (sales) - 117,000 (expense) = 211,000 (profit)

Year 2: 565,000 (sales) - x (expense) = y (profit)

Net Profit: 211,000 + y = 113,000

Math

211,000 (profit y1) + 565,000 (sales y2) = 776,000

776,000 - 113,000 (net profit) = -663,000 (expenses)

Confirm:

Net Profit: 211,000 + y = 113,000 (listed in formulas, just a reminder)

Plug in: 565,000 (y2 sales) - 663,000 (our solution) = -98,000

211,000 (y1 net) + -98,000 (our plug in) = 113,000 (2 year net profit given to us)
6 0
3 years ago
Which two grids can be combined to represent 140%?
umka2103 [35]
Can you make the a bit more clear
3 0
3 years ago
Read 2 more answers
If 4x = 28 then x = 7
Contact [7]

Answer:

correct

Step-by-step explanation:

4 times 7 is 28

6 0
3 years ago
Read 2 more answers
Vivi is 40 floors from the top of her building. If she starts at the bottom and runs up 5 floors every 20 seconds, how far is sh
Murrr4er [49]

Answer:

17 floors

Step-by-step explanation:

1 floor every 4 seconds.

90/4 = 22.5

40 - 22.5 = 17.5

17.5 is 17ish floors, and is the only answer that is close to 17 floors.

8 0
3 years ago
Other questions:
  • Solve z2 – 2z – 35 = 0 using the zero product property.
    11·1 answer
  • What is the value of y in the equation 1/8• y=4
    7·2 answers
  • A new shoe comes in two colors, black or red, and in sizes from 5 to 12, including half sizes. If a pair of the shoes is chosen
    14·1 answer
  • The sum of two numbers is 21. The larger number is 6 less than twice the smaller number. Find the two numbers.
    14·1 answer
  • Joyce is buying supplies at the school bookstore. A pencil costs $0.25, a notebook costs $1.75, and a piece
    6·2 answers
  • Let the probability of success on a Bernoulli trial be 0.30. a. In five Bernoulli trials, what is the probability that there wil
    15·1 answer
  • erin is paid $24.70 per hour. he is paid the normal rate for the first 7 hours worked each day , time-and-half for the next 2 ho
    10·1 answer
  • Y = x2 – 2x – 5<br> y = -x2 + x + 2
    13·1 answer
  • Find RS. See image below
    8·1 answer
  • Explain what is the difference between the solutions to 2x=10 and 2x &gt; 10
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!