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Bond [772]
3 years ago
9

A division of the Gibson Corporation manufactures bicycle pumps. Each pump sells for $10, and the variable cost of producing eac

h unit is 60% of the selling price. The monthly fixed costs incurred by the division are $50,000. What is the break-even point for the division? (Round your answers to the nearest whole number.)
(x,y)=
Mathematics
1 answer:
svlad2 [7]3 years ago
8 0

Answer:

12,500 units

Step-by-step explanation:

Given:

Selling cost of the pump = $10

Variable cost of producing each unit = 60% of selling cost

or

Variable cost of producing each unit  = 0.60 × $10 = $6

Monthly fixed cost = $50,000

Now,

The profit per unit = Selling cost - Variable cost

or

The profit per unit = $10 - $6 = $4

Therefore,

The breakeven point = \frac{\textup{Fixed cost}}{\textup{Profit per unit}}

or

the breakeven point = \frac{\textup{50,000}}{\textup{4}}

or

the breakeven point = 12,500 units

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A patio in the shape of a regular octagon (8-sided figure) has a side length of 24 ft and an apothem length of 60 ft. What is th
Damm [24]
Given:
Octagon-shaped patio
Side length = 24ft
apothem length = 60ft

Area of a regular octagon = 2 * a² * (1 + √2)
a = side length

A = 2 * (24ft)² * (1 + √2)
A = 2 * 576ft² * (1 + 1.414)
A = 2 * 576ft² * 2.414
A = 2,780.93 ft²

8 0
3 years ago
What is the answer please?
Marina CMI [18]

Answer:

The one you are on, f(x+2)+4

Step-by-step explanation:

First, we can see by the 0 point that it is just moved up by 4 and not left or right any, so we want to see how it has changed without the +4.  


in g(x) the x changes by two, 0 to 2, and the y changes by one, 4 to 5.


Hopefully you can tell what the function being manipulated is.  It is x^3  so if we write that instead of f(x) in the answers the first one for instance would be (x/3)^3-4.  (let me know if that doesn't make sense)


SInce we already know it's being moved up by 4, we know it's one of those with +4 at the end.  It's easy enough to guess and check, but the process to find the answer is pretty easy.  We also know that at 2, the change is 1.  So without the +4 at the end, what would let us change 8 to 1?  dividing it by 8, which is also 2^3.  so that means (2/2)^3.  So the answer is we want f(x/2) witht he +4 at the end.  


Hopefully that made sense, I'd be happy to explain further if you need though

8 0
3 years ago
Determine if this relationship forms a direct variation. Verify your answer.
leva [86]

we know that

A relationship between two variables, x, and y, represent a direct variation if it can be expressed in the form y/x=k or y=kx

so


we have

a) for x=1 y=0.50--------> y/x=0.50/1------> 0.50

b) for x=2 y=1--------> y/x=1/2-------> 0.50

c) for x=3 y=1.50--------> y/x=1.50/3-----> 0.50

d) for x=5 y=2.50--------> y/x=2.50/5----> 0.50

the value of k is equal to 0.50

so

<span>the relationship forms a direct variation. </span>

the equation is

y=0.50*x


Verify

for x=1

y=0.50*(1)------> y=0.50-----> is correct


for x=2

y=0.50*(2)------> y=1.00-----> is correct


for x=3

y=0.50*(3)------> y=1.50-----> is correct


for x=5

y=0.50*(5)------> y=2.50-----> is correct

4 0
3 years ago
Read 2 more answers
CAN SOMEONE PLEASE HELP ME!!!! I NEED HELP BAD
natima [27]
The answer would be 203 because if u multiply u get x time 3
6 0
3 years ago
What can you conclude about the population density from the table provided? Population Area (km²) Region A 20,178 521 Region B 1
Alika [10]

Answer:

A got it right

Step-by-step explanation:

got it right

6 0
2 years ago
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