In efforts of improving their orofit margins, a company is considering creating their own manufacturing plant for their product. It had a start-up cost of 25,000 to build the plant. This plant will drop the production cost down to $15 per item. If each item sells for $50, then how many items would it take to get an overall profit of $100,000 for the year?

Answers

Answer 1

Answer:

To get an overall profit of $100,000, then 3,571 items is needed to be produced

Step-by-step explanation:

Mathematically;

Profit = Revenue - Production cost

In the question, we are told that the profit we are expecting is $100,000

Let the number of items to be produced for sales be x items

Now let’s look at the production cost ;

The production cost will be number of items for sale * production cost = 15 * x = $15x

Now, we need to add the start-up cost to the production cost to get the total amount spent on production;

Mathematically the total amount would be = $25,000 + $15x

Let’s look at the revenue;

The revenue will be selling price of each item * price of each item;

Mathematically, that would be 50 * x = $50x

So therefore;

50x - (25,000 + 15x) = 100,000

50x -25,000 -15x = 100,000

35x = 100,000 + 25,000

35x = 125,000

x = 125,000/35 = 3571.42 which is approximately 3,571 items


Related Questions

Write the standard form of the equation y-3=-2/3(x+5)

Answers

Answer:

In linear standard form, 10x-15y=29

Step-by-step explanation:

The solution is y = ( -2/3 )x - 1/3

The standard form of the equation y-3=-2/3(x+5) is given by the equation A

where y = ( -2/3 )x - 1/3

What is an Equation of a line?

The equation of a line is expressed as y = mx + b where m is the slope and b is the y-intercept

And y - y₁ = m ( x - x₁ )

y = y-coordinate of second point

y₁ = y-coordinate of point one

m = slope

x = x-coordinate of second point

x₁ = x-coordinate of point one

The slope m = ( y₂ - y₁ ) / ( x₂ - x₁ )

Given data ,

Let the equation of line be represented as A

Now , the value of A is

So , the standard form of the equation of line is given by equation of a line is expressed as y = mx + b where m is the slope and b is the y-intercept

Now ,

y - 3 = -2 / 3 ( x + 5 )

Multiply by 3 on both sides of the equation , we get

3y - 9 = -2 ( x + 5 )

On simplifying the equation , we get

3y - 9 = -2x - 10

Adding 9 on both sides of the equation , we get

3y = -2x - 1

Divide by 3 on both sides of the equation , we get

y = ( -2/3 )x - 1/3

The equation of line is y = ( -2/3 )x - 1/3 where the slope of the line is -2/3 and the y intercept of line is -1/3

Hence , The standard form of the equation y-3=-2/3(x+5) is given by the equation A where y = ( -2/3 )x - 1/3

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2x+y=-5 slope intercept form please

Answers

Answer:

y=-2x+5

Step-by-step explanation:

Answer: y= -2x - 5  

Step-by-step explanation:

2x + y = - 5  To convert it into slope-intercept form subtract 2x from both sides

-2x          -2x

y= -2x - 5

About how many galllons of grape juice are shown in the picture?

Answers

Answer:

About 3.9 gallons

Step-by-step explanation:

There are about 14.8 liters of juice in the bottle, and converting it to gallons is about 3.9 gallons. Hope it helps!

Answer:

3.8 gallons of grape juice is shown

Factor the expression completely.

18 x − 21 18x−21

Answers

Answer:

3( 6x-7)

Step-by-step explanation:

18 x − 21

Factor a 3 out of each term

3*6x - 3*7

3( 6x-7)

Answer:

Factor 18x−21

18x−21

=3(6x−7)

Answer:

3(6x−7)

Step-by-step explanation:

please help me, ASAP​

Answers

Answer:

The answer is A

Step-by-step explanation:

All of the other relations shows have duplicate numbers of x. For example, relation B has two 3s and D has two 20s. If a relation has a duplicate x, it is not a function.

Solve for x : x/14-4=3

Answers

Answer:

98

Step-by-step explanation:

3+4 then times 14

HeoeiejJSJJSJSJSKSKWKWKW

Answers

Answer:

0.27 or B (✿◠‿◠)

HELP QUICK ILL GIVE THE BRAINLIEST!

Find three consecutive even integers for which -4 times the sum of the first and third integers is 192. Write and solve an equation.

Answers

Answer:

192x-4= -768

Step-by-step explanation:

The side with intermediate length is:
1. OD
2. DE
3 EO

Answers

Answer:

I don't know exactly, I think it is EO, but I could be wrong.

Step-by-step explanation:

The side with intermediate length is OE .

What is the relationship between length of side of triangle and their interior  angle ?

Relationship of sides to interior angles in a triangle

In any triangle:

The shortest side is always opposite the smallest interior angleThe longest side is always opposite the largest interior angle

According to the question

Side opposite to smallest ∠20° = OD

Side opposite to largest ∠110° = DE

Side opposite to intermediate ∠50° = OE

Now,

according to the relationship between length of side of triangle and their interior angle

The smallest side is opposite the smallest angle, and the longest is opposite the largest angle, then it follows that since a triangle only has three sides, the midsize side is opposite the midsize angle.

Therefore,

OD = smallest side

DE = Largest side

OE = intermediate side

Hence, The side with intermediate length is OE .

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write an equation given a slope of 1/2 that goes through the ordered pair (2,4)​

Answers

Answer:

y= 1/2x +3

Step-by-step explanation:

A walli can be built by 6 men working for 8 hours per day in 5 days. How many days will it take 4 men to build if they work only 5 hours per day.
(show your working)

Answers

Answer:

A wall can be built by 6 men working 8*5*6=240 hours.

If 4 men works 5 hours a day, they work 20 hours/day.

It will take them 240 hours /20 hours = 12 days

twice a number increased by five

Answers

Whats the number , just multiply by 2 and add 5

Watch help video
William read 15 books in 6 months. What was his rate of reading in months per book?

Answers

Answer:

2.5 months

Step-by-step explanation:

hope is right and i help :)

20ab
if a = 4 and b = -2)

Answers

-160 is the answer my guy
20( 4)(-2) / (4 -(-2)

-160/ 36

Answer = -4.44

please help me I will mark brainliest to first to help​

Answers

It is x^1/9
Simplify the 4 in 1/4 and 4/9

The figure shows a line graph and two shaded triangles that are similar:


Which statement about the slope of the line is true? (1 point)

It is 7 throughout the line.
It is fraction 1 over 7 throughout the line.
The slope from point O to point A is fraction 1 over 7 times the slope of the line from point A to point B.
The slope from point O to point A is seven times the slope of the line from point A to point B.

Answers

True:

3rd One

4th One

False: All of the others.

It's a straight line, so it is going to have straight qualities and straight inequalities throughout the graph.

peter, henry and john shared $345 between them. Peter received $45, henry received $75 and john received the rest.
a) find the ratio of peters share to henrys share to johns share

Answers

Answer:

Step-by-step explanation:

Let J = John's share ($)

     P = Peter's share ($)

     H = Henry's share ($)

 

1) H = P + 80

 

2) J/P = 6/3 = 2

 

3) P/H = 3/5  

 

Substitute equation 1) into equation 3)

 

P/(P + 80) = 3/5            (multiply both sides by (P + 80)

 

P = (3/5)*(P + 80)         (multiply both sides by 5)

 

5*P = 3*P + 240

 

2*P = 240

 

P = 240/2 = $120

 

Substitute P value into equation 2)

 

J/P = 2  or

 

J = 2*P = 2*$120 = $240

 

John received $240

 

 

The measures of the angles of a triangle are shown in the figure below. Solve for x.

PLEASE HELP

Answers

Answer:

Step-by-step explanation:

PLEASE HELP. DUE IN 9 MINS ❤️
Three times the sum of a number and 16 is 8 less than four times that same number. Write an
solve an equation to find the number.

Answers

Answer:

3(x+16)= 4x-8

x=56

Step-by-step explanation:

3(x+16)= 4x-8

use distributive property

3x+48=4x-8

add 8 to each side

3x+56=4x

subtract 3x from 4x

56=x

check work

3(56+16)=4(56)-8

distributive property again

168+48= 224-8

add the left side

216=224-8

subtract the right side

216=216

tada

how do I find the answer to 47+ (7 + 6) × 3​

Answers

Answer:

86

Step-by-step explanation:

1) 7+6= 13 2) 13×3 = 39 3) 47+39= 86

Mercedes can download new songs for $1.39 each. Write an equation to show how many songs she can download for $15.00. NEEED HELP PLZ :(

A 15x = 1.39
B 15 + x = 1.39
C 1.39x = 15
D 1.39 + x = 15

Answers

Answer:    C. 1.39x=15

Step-by-step explanation:

each song is worth 1.39 dollars

If there are x songs, the total value would be 1.39x

1.39x=15

Please help! I'm very behind on work and just don't have the time to catch up without costing the grade of another class. Thank you so much!

Answers

Answer:

5. alternate exterior, p

6. consecutive interior, r

7. consecutive exterior, s

8. alternate interior, q

9. corresponding, s

Step-by-step explanation:

help urgent!!!!!!!!!!!

Answers

the answer should be -7

Answer:

negative 7

Step-by-step explanation:

Suppose you want to accumulate $25,000 as down payment on a house and the best you can do is to put aside $200 a month. If you deposit this amount at the beginning of each month in an account that credits 0.75% interest monthly, how long will it take you to attain your goal?

Answers

Answer:

It will take 88.2 months to accumulate the amount

Step-by-step explanation:

Given;

Future value of money, FV = $25,000

investment per compound period, P = $200

interest rate, i = 0.75% x 12 = 9%

The number of monthly installments required to amount to FV is given by;

[tex]n = \frac{ln(FVi +cp)-ln(cp)}{ln(c+i)-ln(c)}\\\\ n = \frac{ln(25000*0.09 +200*12)-ln(200*12)}{ln(12+0.09)-ln(12)}\\\\n = \frac{8.4446 -7.7832}{2.4924-2.4849}\\\\n = 88.2 \ months[/tex]

Therefore, it will take 88.2 months to accumulate the amount.

Jim brought a pizza and decided to share it with four of his friends his portion was twice as much as any of the others who each received a piece that was the same size. what fraction of the pizza did Jim have

Answers

Answer:

Jim had 1/3 of of the pizza

Step-by-step explanation:

He shared a pizza with four friends, each friend had a Piece that was the same size as the other pieces, Jim had TWICE as much pizza as his friends so He had 2 pieces since he has 4 friends and each has 1 piece, so 4 + 2 = 6

2/6 simplify if, 1/3.

Jim has 1/3 of the pizza

Have a nice day :)

car A is traveling east at a steady speed of 60 miles per hour after 2 hours, it is 130 miles east of Johnstown. car B is traveling east on the same road. its distance east of Johnstown is represented by the graph.
plzzzzzzzzzzzzzzzzz help mee

Answers

Answer:

 There's no numbers on this graph. it you can tell me where it is, ill gladly update my answer. Other than that, I know exactly what they are saying, I just need numbers.

Step-by-step explanation:

x/20=2/8
x=__
pls explain the steps

Answers

Answer:

Today: Thursday, 15 October 2020

Hour: 04.09 WIB (in Indonesian)

____________________________

x/20 = 2/8

20 × 2 = 8 × x

40 = 8x

x = 40/8

x = 5

what is the next number on the sequence 6,13,20,27?​

Answers

Answer:

34

Step-by-step explanation: goes up in 7's

There are 35 students in the drama club. 2 out of every 5 students in the club are boys. How many students in the club are boys

Answers

Answer:

14 are boys

Step-by-step explanation:

5 goes into 35 7 times, so you would multiply 7 x 2 and get 14

Answer: 14 boys

Step-by-step explanation:

During a day a student spends 7 hours sleeping, ¹/4 of the day studying and of the time travelling. What fraction of the day is left for other things?

Answers

Answer:

45.83 over 1  (45.83/1)

Step-by-step explanation:

29.17% sleeping

25% studying

29.17 + 25 = 54.17

100 - 54.17 = 45.83%

convert decimal to a fraction:

45.83 = 45.83 over 1  (45.83/1)

Answer:

[tex]\frac{45.83}{1}[/tex]

Step-by-step explanation:

45.83/1 is your answer!!!!

can i get brainliest plzzz?

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