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Lina20 [59]
3 years ago
15

Assume your company sell 1,000 widgets at a variable cost of $5 per widget, and $5,000 per month in fixed costs. Using the relev

ant range assumption, how much would you add to your variable costs if you sell 5,000 widgets.?
Mathematics
2 answers:
Alex Ar [27]3 years ago
7 0

Answer:

$20,000

Step-by-step explanation:

It is given that a company sell 1,000 widgets.

Variable cost = $5 per widget

Fixed cost = $5,000 per month

Using the relevant range assumption we need to find the increase in variable costs if you sell 5,000 widgets.

Variable cost 1,000 widgets = 1,000×5 = $5,000

Variable cost 5,000 widgets = 5,000×5 = $25,000

Increase in widgets = $25,000 - $5,000 = $20,000

Therefore, we need to add $20,000 in variable cost, if we sell 5,000 widgets.

zlopas [31]3 years ago
4 0

Step-by-step explanation:

It is given that a company sell 1,000 widgets.

Variable cost = $5 per widget

Fixed cost = $5,000 per month

Using the relevant range assumption we need to find the increase in variable costs if you sell 5,000 widgets.

Variable cost 1,000 widgets = 1,000×5 = $5,000

Variable cost 5,000 widgets = 5,000×5 = $25,000

Increase in widgets = $25,000 - $5,000 = $20,000

Therefore, we need to add $20,000 in variable cost, if we sell 5,000 widgets

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Consider the function f(x)= 2/5x-4
Gre4nikov [31]

Answer: a) \frac{5}{2}x+10=f^{-1}(x)=g(x)

Step-by-step explanation:

Since we have given that

f(x)=\frac{2}{5}x-4

a.) Find the inverse of f(x) and name it g(x).

Let f(x) = y

So, it becomes

y=\frac{2}{5}x-4

Switching x to y , we get

x=\frac{2}{5}y-4

5x=2y-20\\\\5x+20=2y\\\\\frac{5x+20}{2}=y\\\\\frac{5}{2}x+10=y\\\\\frac{5}{2}x+10=f^{-1}(x)=g(x)

b) . Use composition to show that f(x) and g(x) are inverses of each other.

\mathrm{For}\:f=\frac{2}{5}x-4\:\\\\\mathrm{substitute}\:x\:\mathrm{with}\:g\left(x\right)=\frac{5}{2}x+10\\\\=\frac{2}{5}\left(\frac{5}{2}x+10\right)-4\\\\=x

Similarly,

\mathrm{g\left(x\right)=\frac{5}{2}x+10,\:f\left(x\right)=\frac{2}{5}x-4,\:g\left(x\right)\circ \:f\left(x\right)}\\\\\mathrm{For}\:g=\frac{5}{2}x+10\:\mathrm{substitute}\:x\:\mathrm{with}\:f\left(x\right)=\frac{2}{5}x-4\\\\=\frac{5}{2}\left(\frac{2}{5}x-4\right)+10\\\\=x

so, both are inverses of each other.

c) Draw the graphs of f(x) and g(x) on the same coordinate plane.

As shown below in the graph , Since for inverse function we need an axis of symmetry i.e. y=x

And both f(x) and g(x) are symmetry to y=x.

∴ f(x) and g(x) are inverses of each other.


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A particular amuesment park ride will make 150 revolitions in 180 seconds at this rate how many revolutions will it make in 2 mi
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Answer:

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Step-by-step explanation:

180s = 3min

50s = 1min

50 * 2 = 100

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Answer:

A. 0.9510

B. 0.0480

C. 0.0490

D. No, I would not feel comfortable accepting the shipment if one item was found defective, because the probability is quite small to obtain 1 or more defective items.

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What is the value of x?<br> 33<br> 65<br> C=?
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