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Maslowich
3 years ago
8

The department estimates that $6,000 of new manufacturing equipment will need to be purchased and that the cost of construction

each desk will be $100. The department also estimates that the revenue from the desk will be $400
Mathematics
1 answer:
Darina [25.2K]3 years ago
8 0

Answer:

The question is incomplete, below is a possible match for the complete question:

The department estimates that $6,000 of new manufacturing equipment will need to be purchased and that the cost of construction each desk will be $100. The department also estimates that the revenue from the desk will be $400. Find the company's break-even point for this desk

Answer: Break-even point (number of desks) = 20 desks

Step-by-step explanation:

The break-even point is the price of quantity of goods sold at which the total manufacturing costs equals the selling price.

Let the number of desks to be sold in order to break even = x

manufacturing equipment cost = $6,000

total cost of manufacturing desks at $100 each = 100 × x = 100x

Therefore total cost of manufacturing = 6000 + 100x

Total revenue to be realized at a selling price of $400 each = 400×x = 400x

To break even:

Total manufacturing cost = Total revenue

∴ 6000 + 100x = 400x

6000 = 400x - 100x

6000 = 300x

300x = 6000

∴ x = 6000 ÷ 300 = 20

Therefore, in order to break even, 20 desks must be sold. which is a total revenue of $8000 (400 × 20).

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serious [3.7K]

The answer is 10a^4b^3

3 0
3 years ago
NEED HELP
Zina [86]

Answer:

\displaystyle \frac{1}{2}(x^3-2x^2-5x+6)

Step-by-step explanation:

<u>Polynomials </u>

a)

The polynomial whose graph is shown is of third degree because it has three real roots. The roots of a polynomial are the values of x that make the expression equal to zero. We can see it happens three times in the graph provided. The roots or zeros are  

x=-2, x=1, x=3

b)

The factored form of a polynomial whose roots x_1, x_2, x_3 are known is

a(x-x_1)(x-x_2)(x-x_3)

We know the value of the roots, thus the polynomial is written as

a(x+2)(x-1)(x-3)

We need to find the value of a. We do that by replacing the value of x=0 and finding a that makes f(0)=3 (as seen in the graph). Thus

a(0+2)(0-1)(0-3)=3

a(2)(-1)(-3)=3

a(6)=3

\displaystyle a=\frac{3}{6}

\displaystyle a=\frac{1}{2}

Thus the factored form of the polynomial is

\displaystyle \frac{1}{2}(x+2)(x-1)(x-3)

c)

Let's multiply all the factors

\displaystyle \frac{1}{2}(x+2)(x-1)(x-3)

\displaystyle \frac{1}{2}(x^2+2x-x-2)(x-3)

\displaystyle \frac{1}{2}(x^2+x-2)(x-3)

\displaystyle \frac{1}{2}(x^3-3x^2+x^2-3x-2x+6)

\boxed{ \displaystyle \frac{1}{2}(x^3-2x^2-5x+6)}

7 0
4 years ago
Help please I can’t figure it put
leonid [27]

5y + 3 >  -7 y + 13

Subtract 3 from both sides

5y > -7y + 13 - 3

Add 7y to both sides

5y + 7y > 13 - 3

12y > 10

Divide by 12, which is positive so the sign doesn't flip

y > 10/12 = 5/6

Answer: y > 5/6


8 0
3 years ago
Y= 4x+3 make x the subject
Oksanka [162]

Answer:

<h2><u><em>x = (y-3)/4</em></u></h2>

Step-by-step explanation:

Y= 4x+3 make x the subject

4x = y - 3

x = (y-3)/4

6 0
2 years ago
Solve for x.<br><br><br><br> x^2+2=102<br><br><br> there are two solutions for x
horrorfan [7]
Well one is def 10 but im not sure what the other one is
8 0
3 years ago
Read 2 more answers
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