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wariber [46]
3 years ago
11

To break even in a manufacturing​ business, income or revenue R must equal the cost of production C. The revenue R from selling

x number of computer boards is given by Upper R equals 90 x​, and the cost C of producing them is given by Upper C equals 80 x plus 1 comma 000. Find how many boards must be sold to break even. Find how much money is needed to produce the​ break-even number of boards.
Mathematics
1 answer:
soldier1979 [14.2K]3 years ago
7 0

Answer:

100

Step-by-step explanation:

Given:

income or revenue = R

Cost of production = C

Income or revenue R = 90x

x number of computer boards

C = 80x + 1,000

Also,

For break-even number of boards

C = R

80x + 1,000  = 90x

or

10x  = 1,000

or

x = 100

Hence,

For break-even the number of boards that must be produced are 100

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Step-by-step explanation:

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Sound City sells the ClearTone-400 satellite car radio. For this radio, historical sales records over the last 100 weeks show 5
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Answer:

μ =2.23

\sigma_x^2= 1.49

\sigma_x=1.22

Step-by-step explanation:

Radio(x)                            weeks                           P(x)

0                                         5                                 5/100 = 0.05

1                                           27                               27/100=0.27

2                                          27                                 27/100 = 0.27

3                                         27                                 27/100 = 0.27  

4                                           9                                    9/100=0.09

5                                             5                                    5/100=0.05

We know that

Mean ,μ

\mu =\sum x.P(x)

μ = 0 x 0.05 + 1 x 0.27 + 2 x 0.27 + 3 x 0.27 + 4 x 0 .09 + 5 x 0.05

μ =2.23

\sigma_x^2= \sum x^2\times P(x)-(\sum x.P(x))^2

\sigma_x^2= 0^2\times 0.05+ 1^2\times 0.27+ 2^2\times 0.27+ 3^2\times 0.27+ 4^2\times 0.09+5^2\times 0.05-2.23^2

\sigma_x^2= 1.49

\sigma_x= \sqrt{\sigma_x^2}

\sigma_x=1.22

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4 years ago
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Help with those three please!!
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Answer:

Part 1) Option A. The axis of symmetry is x=4

Part 2) Option C. minimum

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Part 4) Option B. (2,0) and (6,0)

Step-by-step explanation:

we have

f(x)=x^{2}-8x+12

Part 1) What is the axis of symmetry of the parabola described by the equation above?

we know that

The equation above is a vertical parabola open upward

The axis of symmetry is the x-coordinate of the vertex

Find the vertex of the parabola (convert the equation in vertex form)

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f(x)+4=x^{2}-8x+16

f(x)+4=(x-4)^{2}

f(x)=(x-4)^{2}-4 ----> equation in vertex form

The vertex of the parabola is (4,-4)

so

The axis of symmetry is x=4

Part 2) The vertex of the equation above is also

we know that

The equation above is a vertical parabola open upward

therefore

The vertex is a minimum

Part 3) What is the vertex of the parabola described by the equation above

we know that

The equation of the parabola into vertex form is equal to

f(x)=(x-4)^{2}-4

therefore

The vertex of the parabola is (4,-4)

Part 4) What are the  x-intercepts of the parabola described by the equation above

we know that

The x-intercepts are the values of x when the value of y is equal to zero

so

f(x)+4=(x-4)^{2}

f)x)=0

so

4=(x-4)^{2}

take square root both sides

(x-4)=(+/-)2

x=4(+/-)2

x=4(+)2=6

x=4(-)2=2

therefore

The x-intercepts are

(2,0) and (6,0)

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