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9966 [12]
2 years ago
13

The planning department of abstract office supplies has been asked to determine what is the company should introduce a new compu

ter desk next year. The department estimates that $14,000 of new manufacturing equipment will need to be purchased and the cost of construction each desk will be $150. The department also estimates that the revenue for each desk will be $500.
A. Determine the revenue function R(x) from the sale of X desks. R(x)=

B. Determine the cost function C(x) for manufacturing X decks C(x)=

C.Find the number of tasks that must be sold for the company to break even
Mathematics
1 answer:
BabaBlast [244]2 years ago
4 0

Answer:

<em>The company needs to sell 40 desks to break even</em>

Step-by-step explanation:

<u>Application of Equations</u>

There is virtually no limit to the possible situations where equations can help to find the solution of specific problems related to areas like economy, where one could need to establish some important indicators about the business.

B. The fixed cost for Abstract Office Supplies to sell a new computer desk is $14,000. Each desk will cost $150 to produce. The cost function to produce X desks is

C(x)=150x+14,000

A. The revenue for each desk is estimated at $500, for X desks will be

R(x)=500x

C. The company will break even when the cost and the revenue are the same. We'll find how many desks need to be sold for that to happen. We equate

C(x)=R(x)

Or equivalently

150x+14,000=500x

Rearranging

500x-150x=14,000

350x=14,000

Solving for x

x=14,000/350= 40

The company needs to sell 40 desks to break even

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Answer:

Step-by-step explanation:

Here is the complete question

The number of students treated per month has been recorded for the last 60 months. Which type of graph would allow us to quickly see how many months between 100 and 200 students were treated

A) box plot

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An histogram is a bar-like graph used to represent numerical data. On the x-axis the range of data being described is given and on the y-axis, the frequency is provided.

The  x-axis would show the range of 100 - 200 that were treated

a box plot displays numerical data using their quartiles

A dot plot is display of data using dots

5 0
2 years ago
Suppose g(m) varies inversely with M and g(m)=3.5 when m=10. what is the value of M when g(m)=5?
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In an inverse variation, the function takes the form xy=k
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Given g(10)=3.5, we find k=xy=3.5*10=35.  
This means the function is
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6 0
3 years ago
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7) The area of rectangle A is twice the area of square B. Find x.<br> 12
Veronika [31]

Answer:

Step-by-step explanation:

A=2B

AreaA= Area of a rectangle=Base* height = base (12-x)*height(4) = 48-4x

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Since A=2B

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Divide both sides of the equation by 2

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Put everything all on one side

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Only x makes sense since it’s not negative or else your base or one of your sides would be negative

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25.8

Step-by-step explanation:

divide

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Answer:

  (g◦f)(x) = 2x +1

Step-by-step explanation:

(g◦f)(x) = g(f(x)) = g(2x -1) = (2x -1) +2

(g◦f)(x) = 2x +1

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Substitute f(x) for the argument in the function g(x) and simplify.

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