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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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antoniya [11.8K]

Answer:

1 quarter pound = 0.25 of a pound.

Give that:

Total amount of ground beef =  pound

From 3.5 pound of beef we have to make burgers using 0.25 pound of beef in one burger

We have to find how many burgers can be made:

We have to divide 3.5 pound by 0.25 pound

i.e,

⇒14 quarter pounds burger can be made.

Therefore, 14 quarter pound burgers can George make out of 3 1/2 pounds of ground beef

Step-by-step explanation:

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3 years ago
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What is the missing value 2/6=x/15
boyakko [2]

Answer:

x=  5

Step-by-step explanation:

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3 years ago
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Tanzania [10]

Answer:

10 units

Step-by-step explanation:

1. Do the square in the middle

2 x 2 = 4

2. Do the triangle on the left

2 x 2 divided by 2 = 2

3. Do the triangle on the right

4 x 2 divided by 2 = 4

4. Add them all up

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2 years ago
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The area of the triangle is 28.7 square centimeters. What is the base length of the triangle in centimeters?
Montano1993 [528]

In order to derive the base of a triangle from its area, you need its height as well.

In fact, if we solve the area formula for the base, we have

A=\dfrac{bh}{2} \iff 2A = bh \iff b=\dfrac{2a}{h}

So, the base length would be

b=\dfrac{2\cdot 28.7}{h} = \dfrac{57.4}{h}

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3 0
3 years ago
Find all solutions of the given system of equations (If the system is infinite many solution, express your answer in terms of x)
lisov135 [29]

Answer:

(a) The system of the equations \left \{ {2x-3y\:=3} \atop {4x-6y\:=3}} \right. has no solution.

(b) The system of the equations \left \{ {4x-6y\:=10} \atop {16x-24y\:=40}} \right. has many solutions y=\frac{2x}{3}-\frac{5}{3}

Step-by-step explanation:

(a) To find the solutions of the following system of equations \left \{ {2x-3y\:=3} \atop {4x-6y\:=3}} \right. you must:

Multiply 2x-3y=3 by 2:

\begin{bmatrix}4x-6y=6\\ 4x-6y=3\end{bmatrix}

Subtract the equations

4x-6y=3\\-\\4x-6y=6\\------\\0=-3

0 = -3 is false, therefore the system of the equations has no solution.

(b) To find the solutions of the system \left \{ {4x-6y\:=10} \atop {16x-24y\:=40}} \right. you must:

Isolate x for 4x-6y=10

x=\frac{5+3y}{2}

Substitute x=\frac{5+3y}{2} into the second equation

16\cdot \frac{5+3y}{2}-24y=40\\8\left(3y+5\right)-24y=40\\24y+40-24y=40\\40=40

The system has many solutions.

Isolate y for 4x-6y=10

y=\frac{2x}{3}-\frac{5}{3}

3 0
3 years ago
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