A small software development company invests $16,000 to produce a software package that will sell for $50.65. Each unit costs $8.20 to produce. How many units must the company sell to break even? How many units must the company sell to make a profit of $95,000?

Answers

Answer 1

Answer:

376 units and 1,857 units

Step-by-step explanation:

The computation is shown below:

The number of units that company sells to break even is

Let us assume the number of units be x

$16,000  + $8.20x  = $50.75x

$16,000 = $50.75x - $8.20x

$16,000 = $42.55

x = $16,000 ÷ $42.55

= 376 units

Now in order to make the profit the number of units sold is

$50.65x - ($16,000 + $8.20x) = $95,000

$50.65x - $16,000 - $8.20x = $95,000

$42.55x = $95,000 - $16,000

$42.55x = $79,000

x = $79,000 ÷ $42.55

= 1,857 units


Related Questions

A landscaping company placed two orders with a nursery. The first order was for 13 shrubs and 4 trees and totaled 487. The second order was for 6 scrubs and 2 trees,and totaled 232. The bills do not list the per-item price. What were the costs of one shrub of one tree?

Answers

Answer:

Cost of shrubs = 23

Cost of tree = 47

Step-by-step explanation:

Let

Cost of shrubs = x

Cost of tree = y

13x + 4y = 487 (1)

6x + 2y = 232 (2)

Multiply (2) by 2

12x + 4y = 464 (3)

13x + 4y = 487 (1)

Subtract (3) from (1)

13x - 12x = 487 - 464

x = 23

Substitute x = 23 into (2)

6x + 2y = 232 (2)

6(23) + 2y = 232

138 + 2y = 232

2y = 232 - 138

2y = 94

y = 94/2

= 47

y = 47

The Punnett square below shows the cross between two parents heterozygous for two traits. In horses, the allele for black color (B) is dominant over the allele for white color (b). Long hair (H) is
dominant over the short hair (h).
1. What are the genotype and phenotype of the offspring in block A, B, C, D, and E?
2. What is the probability of getting a black horse with short hair?
Genotype
Phenotype
A
B
с
D
E

Answers

See the attached table of genotypes.

A black horse with short hair has genotype Bxhh, where the x can be either B or b. According to the table, 3 of the 16 possible genotypes match this pattern, so the probability is 3/16.

2 (x - 3) + 1/2 (6x)

Answers

Answer:

[tex]5x-6[/tex]

Step-by-step explanation:

Answer:

5x-6

Step-by-step explanation:

Here is the simplified version and I'm guessing that's what you need

2(x-3) + 1/2 (6x)   Now we distribute

2x-6+3x      Combine the like terms

5x-6    

PLEASE HELP: alg 1

what type of variation does the table represent?

Answers

Answer:

a

Step-by-step explanation:

its indirect cause the direct variation would be the y getting bigger with the x, but it's not. It's getting lower when the x is getting higher. hope this helps.

What is the area of this figure?
10 cm
7 cm
6 cm
17 cm
10 cm
4cm

Answers

Answer:

285,600

Step-by-step explanation:

I calculated it I am pretty sure I am correct

Answer:

110

Step-by-step explanation:

I split the shape into smaller pieces and got 10 for the width and 7 height I multiplied them and got an area of 70 for the first shape. For the second I got the width of 4 and length of 10 multiply them and you'll get 40. Last add them and you get 110 cm.

does pablos cell phone plan offer the same ratio of free to paid minutes as sams? explain

Answers

Answer:

So the answer would be No Pablo's cell phone plan does not offer the same ratio of free to paid as Sam's because Pablo's cell phone plan provides free minutes which are basically equal to the paid minutes.

Step-by-step explanation:

Hope this helps and have a great day!!!

Use exponents to write each expression.
6 x 6 x 6 =

Answers

Answer:

6×6×6 = 6³

Step-by-step explanation:

Answer:

6 x 6 x 6 = 216 I believe that's right

Given the function f(x)= -5x^{2} - x + 20, find f(3)

Answers

f = -5x^{2}/3 - x/3 + 20/3

A total of 30 mothers baked cakes for a bake sale. Each mother baked 2 cakes. The bake sale
director found 35% of the cakes were chocolate. How many chocolate cakes were made for the bake
sale?

Answers

I believe there should be 21 chocolate cakes for sale.

Write an expression in simplest form for the perimeter of each figure.

PLS HELP ITS DUE IN A COUPLE OF MINS​

Answers

Answer:

1) 9h +6x+3

2) 10y-3

Step-by-step explanation:

Answer:

4. 9h + 6x + 3

5. 10y - 3

Step-by-step explanation:

Figure 4

Perimeter

= 4h + 6 + 2x + 5h + 4x - 3

= 9h + 6x + 3

Figure 5

Perimeter

= 3y - 2 + 2y + 2 + 2y - 2 + y + 2y - 1

= 10y - 3

Pls help and show workings
It due 30 mins

Answers

I think the answer is B. Hope this helps

Answer:

95°

Step-by-step explanation:

Well first draw a parallel to p, let's say r

so we have that

[tex]\angle 2+\angle3=\angle1[/tex]

and

[tex]\angle y=148\\\\\angle x +63=180\\\\\angle x=117[/tex]

so now by internal angles of parallels we know that

[tex]\angle x +\angle 2 = 180\\\\\angle y +\angle 3 = 180[/tex]

which is

[tex]117+\angle 2 = 180\\\\\longrightarrow \angle 2 = 63\\\\148+\angle 3 = 180\\\\\longrightarrow \angle3=32[/tex]

so

[tex]\angle 1 = 63+32\\\\\angle 1 = 95[/tex]

PLS HELP THIS IS DUE IN 5 MINUTES!!!

The perimeter of the base of a square pyramid is 40 feet. The slant height of the pyramid is 12 feet. Find the surface area of the pyramid.

SHOW WORK

Answers

9514 1404 393

Answer:

  340 ft^2

Step-by-step explanation:

The length of one side is 1/4 of the perimeter, so is 10 ft.

The area of the base is the square of the length of the side:

  base area = (10 ft)^2 = 100 ft^2

__

The lateral area is the area of four triangles, each with a base of 10 ft and a height of 12 ft.

  lateral area = 4(1/2)(10 ft)(12 ft) = 240 ft^2

__

The total surface area is the sum of the base area and the lateral area:

  surface area = base area + lateral area

  surface area = (100 ft^2) +(240 ft^2) = 340 ft^2

please i really need help​

Answers

Answer:

Angle 4 is greater, it looks like is a 90 degree angle. so I will say is angle 4

please help me please will give brainliest to ​

Answers

Answer:

Step-by-step explanation:

No because √2 and 3i come in pairs. The four roots are ±√2, 3i and -3i. The 5 guarantees that there are at least 5 roots to this equation. This is a good question to know the answer to. It looks like something that could be put on a test.

Please help!! Show your work!! Will mark brainliest!!

Answers

Answer:

17 degrees because 180-163=17

Step-by-step explanation:

let the picture be named as above picture:

angle D +163=180 (linear pair)

D=180-163

D=17⁰

Sum of exterior angle of polygon is 360⁰.

148+50+17+90+angleC=360

198+107+angleC=360

305+angleC=360

angleC=360-305

angleC=55⁰

3(x + 2) = 2x + 14
How many solutions

Answers

Answer:

I solution; x=8

Step-by-step explanation:

You have to solve for x by simplifying both sides of the equation and then isolating the variable

3(x+2)= 2x+14

Distributive Property

3x+6=2x+14

Isolate the variable

3x+6-6=2x+14-6        which is 3x=2x+8

3x-2x=2x-2x+8

x=8

What is the radius if you drew a new circle with a scale facter of 3

Answers

Answer:

it is 5

20-5-10=5 and there is your answer

help i forgot how to do this

Answers

Answer:uhhh

Step-by-step explanation: ok so ask for help from teacher maybe

The values of x and y vary directly and when x = 48,y =36 find the value of x when y = 18

Answers

Answer:

x = 24

Step-by-step explanation:

48 ÷ 2 = 24 - x

36 ÷ 2 = 18 - y

x = 24

y = 18

Determine whether the function is linear or nonlinear. Explain
helppppppppp

Answers

Answer:

A linear function follows a constant rate of change Here we see x moves by 4 units and that y decreases by 4 units then suddenly changes to 6 units hence 13 Is Not A functionFor 12, it is a function because it follows a consistent rate of change which is x or one unit of change.

Answer:

12) The function is linear.

13)  This function is not linear.

Step-by-step explanation:

13) A linear functions equation must be in y = mx + b form

When you graph the table there is no y = mx + b equation that makes a line that passes through all the points.

You earn 4x+12 points after completing x levels of a Vedio game and then lose 2x-5 points. Write an expression that represents the total number of points you have now

Answers

Answer: 2x+17

4x+12-(2x-5)
4x+12-2x+5
2x+17

how many solutions does y=5x+3 have

Answers

Answer:

infinite

Step-by-step explanation:

y and x can be any numbers because they're independants

Answer:

[tex]\infty[/tex]

Step-by-step explanation:

The domain/range of [tex]x[/tex] or [tex]y[/tex] is not restricted. Therefore, for [tex]x \in \mathrm{R}[/tex], the solutions for [tex]y[/tex] are [tex]\mathrm{R}[/tex] (all real numbers).

Therefore, there are an infinite number of solutions to this equation.

PLEASE HELP! Brainliest will be given to the right answer

Answers

The answer should be A
dilation by a scale factor of 0.5 from the origin and translation 2 units to the right

​ 1 2 ( x + 6 ) = 2 x 2 1 ​ (x+6)=2x and 5 − 2 x = 7 x − h 5−2x=7x−h ​ What is the value of h ?

Answers

h is the missing number in your problem also none as your varabile

MARKING BRAINLIEST!!! need help asap

Answers

Answer:

A. (2,0)

Step-by-step explanation:

If you graph both of these equations, the two lines will intercept at point (2,0)

PLEASE HELP! Brainliest and points!!!!

Answers

Answer:

RS = 47 units

Step-by-step explanation:

The midsegment is half the sum of the parallel bases, that is

3x + 5 = [tex]\frac{1}{2}[/tex] ( 2x + 15 + 6x - 37)

3x + 5 = [tex]\frac{1}{2}[/tex] (8x - 22) = 4x - 11 ( subtract 4x from both sides )

- x + 5 = - 11 ( subtract 5 from both sides )

- x = - 16 ( multiply both sides by - 1 )

x = 16

Thus

RS = 2x + 15 = 2(16) + 15 = 32 + 15 = 47

Pedro drives the same route to work on Monday through Friday. His route includes one traffic light. According to the local traffic department, there is a 55% chance that the light will be red when he arrives at the intersection on a randomly selected workday. Suppose we choose 10 of Pedro's workdays at random and let Y = the number of times that the light is red.

Answers

Answer:

6 days

Step-by-step explanation:

Given

The proportion can be represented as:

[tex]p = 55\%[/tex]

And the number of days can be represented as:

[tex]n = 10[/tex]

Required

Determine the expected number of times, the light is red

To do this, we simply multiply the proportion by the number of days:

[tex]Y = n * p[/tex]

Substitute values for n and p

[tex]Y = 10 * 55\%[/tex]

Convert percentage to decimal

[tex]Y = 10 * 0.55[/tex]

[tex]Y = 5.5[/tex]

Approximate

[tex]Y = 6[/tex]

Hence, the expected number of days is 6 days

11.Combine like terms 12.The length of a rectangle is 4x + 7 and the width is 3x - 1. What is the perimeter of the rectangle? please help me with 11 and 12

Answers

Answer:

Question 11 would be D) 5x - 4y and Question 12 would be A) 7x + 6

Please, Need Help ASAP!!

Answers

Answer:

I think it's A I'm not sure

I believe it’s letter B!

Please help ASAP I’ll mark u as brainlister

Answers

Answer:

its B.)

Step-by-step explanation:

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