your computer supply store sells two types of laser printers. the first type, a, costs $137 and you make a $50 profit on each one. the second type, b, costs $110 and you make a $40 profit on each one. you expect to sell at least 100 laser printers this month and you need you make at least $4400 profit on them. if you must order at least one of each type if printer, how many of each type of printer should you order if you want to minimize your cost?

Answers

Answer 1
Let the number of units of the first type be x and the number of units of the second type be y.

A. You expect to sell at least 100 printers this month. This means that:
A + B >= 100 
For simplicity, we will work on the equal sign (A + B = 100) which is the minimum number of units to be sold.
This can be rewritten as: A = 100 - B .................> equation I

B. You expect to make a minimum profit of 4400. This means that:
50A + 40B >= 4400
Again for simplicity, we will work on the equal sign (50A + 40B = 4400) which is the minimum profit to be made
50A + 40B = 4400 ..................> equation II

Substitute with equation I in II:
50 (100-B) + 40B = 4400
5000 - 50B + 40B = 4400
5000 - 4400 = 50B - 40B
600 = 10B
B = 60
Substitute in equation I:
A = 100 - B = 100-60 = 40

Therefore, to minimize your cost and achieve your goals in number of selling units and profits:
you should buy at least 40 units from the first type and 60 units from the second type

Related Questions

Write using algebra.

Leo has d stamps and Pete has 2 times as many. How many more stamps does Pete have than Leo?

Answers

d x 2= c so whatever Leo has Pete always has twice as much

Pete always has 2 times as many stamps than Leo.

What is an expression?

"It is a mathematical statement which consists of constants, variables and mathematical operations."

For given question,

Let Pete has 'm' stamps.

Leo has d stamps and Pete has 2 times as many.

so, we get an expression,

m = 2 × d

so whatever Leo has Pete always has twice as much.

Therefore, Pete always has 2 times as many stamps than Leo.

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Jessica spent $36.07 and Ben spent $7.79 at the grocery store. Which is the best estimate of how much Jessica and Ben spent together?

Answers

36.07 + 7.79 = 43.86

43.86 can be rounded equal 44.

They spent $44 together.

Hope this helps!

Jessica and Ben spent $44 together.

What are Arithmetic operations?

Arithmetic operations can also be specified by the addition, subtract, divide, and multiply built-in functions.

The operator that performs the arithmetic operations are called arithmetic operators.

+ Addition operation: Adds values on either side of the operator.

For example 4 + 2 = 6

- Subtraction operation: Subtracts the right-hand operand from the left-hand operand.

for example 4 -2 = 2

* Multiplication operation: Multiplies values on either side of the operator

For example 4*2 = 8

/ Division operation: Divides left-hand operand by right-hand operand

For example 4/2 = 2

Jessica spent $36.07 and Ben spent $7.79 at the grocery store.

To determine the amount of spending Jessica and Ben together

Apply the addition operation,

⇒ 36.07 + 7.79

⇒ 43.86

43.86 can be rounded to equal 44.

Hence, Jessica and Ben spent $44 together.

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A gumball machine has 78 gumballs. each person who puts a coin into the machine gets 3 gumballs. after a certain number of people get gumballs, there are 54 gumballs remaining.
Which equation could we use to estimate how many people (p) got gumballs out of the machine?
A. 80-3-50=p
B. 80÷3+50=p
C. (80+50)÷3=p
D. (80-50)÷3=p

Answers

D is the bast answer for this question, but, the equation should be (78-54)/3=p.
The answer would be D

Divide. (3/5/9)÷(−2/2/3 Enter your answer as a mixed number, in simplified form, in the box.

Answers

I got -4/3 or 1.333333333 as my answer.

Hope my answer is correct ☺

Answer:

The answer as a mixed fraction is  - 1 [tex]\frac{1}3}[/tex].

Step-by-step explanation:

The expression given  is,

                           (3[tex]\frac{5}{9}[/tex]) ÷ (-2[tex]\frac{2}{3}[/tex]).

Converting the two values to an improper fraction, we have:

                        [tex]\frac{32}{9}[/tex] ÷ - [tex]\frac{8}{3}[/tex]

Convert the division sign to multiplication sign, so that;

                    =  [tex]\frac{32}{9}[/tex]  × -[tex]\frac{3}{8}[/tex]

                    = - [tex]\frac{96}{72}[/tex]

Divide both the numerator and denominator by 8.

                   = - [tex]\frac{12}{9}[/tex]

                   =  - 1 [tex]\frac{1}3}[/tex]

Thus, the answer as a mixed fraction is  - 1 [tex]\frac{1}3}[/tex].

Helpppppppp me pleaseeeeeee very important quizzzzz willl be vey grateful

Answers

Hi there,
To get the answer to your question, we must first convert the two given equations into slope-intercept form, or y = mx + b. 
2x - 5y = -5
→y = 2/5x + 1
y = 2/5x + 1
Since they are the same exact equations, they are the same line, meaning they have infinitely many solutions. Therefore, the graph that best fits this system of equations is the first graph. Hope this helps and have a great day!

What does 39.75 divided by 8 equal

Answers

you can look it up on Google or a calculator but..
39.75
÷ 8
____
4.96875

Please Hurry Again!!

Which Exponent Property would you apply FIRST to simplify this problem
(4^5 × 4^−7)^2

A Power to Power Property

B Quotient Property

C Product Property

D Zero Exponent Property

Answers

The answer is:  [C]:  "Product Property".
______________________________________
Specifically, you would begin by using the "Product Property"; by simplifying the value in parentheses:
______________________________________
    (4⁵  *  4⁻⁷)  = 4⁽⁵⁺⁽⁻⁷⁾⁾ = 4⁽⁵⁻⁷⁾ = 4⁻² ;

______________________________________




thanks for answering these 1. -2(n-6)
2. (5b-4)1/5

3. 2/3(6y+9)

4. 4t-7t

5. -18v squared + 23v squared

6. 13q-30q

Answers

1) -2(n-6)

-2n+12


2) (5b-4)1/5
(5b-4)(1/5)
(5b)(1/5)+(-4)(1/5)

b+-4/5


3) 2/3(6y+9)
(2/3)(6y)+(2/3)(9)

4y+6


4) 4t-7t

-3t


5) -18v^2+23v^2

5v^2


6) 13q-30q

-17q


there are 72 members of the show choir .There are 6 more boys than girls in the choir .
Write a model of a system for the above situation

Answers

There is 12 girls in choir

A rectangular park is 150 yards on one side and 125 on the other

Answers

Area is whatever 125x150 equals

PLZ I NEED THIS QUESTION ASAP PLZ PLZ
For a designer suit, Daniel must specify his waist size in centimeters. If there are $12$ inches in a foot and $30.5$ centimeters in a foot, then what size should Daniel specify, in centimeters, if his waist size in inches is $34$ inches? (You may use a calculator on this problem; answer to the nearest tenth.)

Answers

Divided 30.5 by 2.833 then tell me what you get should be right.

complete question:

For a designer suit, Daniel must specify his waist size in centimeters. If there are 12  inches in a foot and 30.5 centimeters in a foot, then what size should Daniel specify, in centimeters, if his waist size in inches is 34 inches? (You may use a calculator on this problem; answer to the nearest tenth.) 

Answer:

Daniel waist size in cm ≈ 86.4 cm

Step-by-step explanation:

The designer wants Daniel to express his waist size in centimetres. But his waist size was given in inches .

Let us convert the unit base on the relationship given above

12 inches = 1 foot

34 inches =  ? foot

cross multiply

34/12

2.83 ft

Therefore,

1 foot = 30.5 cm

2.83 = ? cm

cross multiply

2.83 × 30.5

86.416

Daniel waist size in cm = 86.416

Daniel waist size in cm ≈ 86.4 cm

The diagram shows corresponding lengths in two similar figures find the ratio of the perimeters and the ratio of the areas

Answers

The ratio of the perimeters is the same as the ratio of the side lengths.
The ratio of the areas is the square of the ratio of the side lengths.

For example, you have two similar rectangles.
One has a side of 4 m, and the other one has a corresponding side of 12 m.
The ratio of the side lengths is 12/4 = 3.
All sides of the second one are 3 times longer than the corresponding sides of the first one. Also the perimeter of the second one is 3 tomes the perimeter of the first one.

For the areas, you must square the ratio. Since the ratio of side lengths is 3, square 3: 3^2 = 9. The area of the second one is 9 times the area of the first one.

Find the value of x so that the function has the given value.

m(x)=4x+15 m(x)=7

Answers

4x+15 = 7
4x = -8
x = -2

The value of x so that the function is equal to -2

Given the following function

m(x) = 4x + 15

m(x) = 7

Since both of them are m(x), hence;

4x + 15 = 7

Subtract 15 from both sides

4x + 15 - 15 = 7 - 15

4x = -8

Divide both sides by 4

4x/4 = -8/4

x = -2

Hence the value of x so that the function is equal to -2

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What is equivalent to 4x-6y

Answers

Final answer:

The equation 4x-6y is a form of a linear equation. When re-arranged in the form y=mx+b, it simplifies to y=2/3x, where m (slope) is 2/3.

Explanation:

The equation you provided, 4x-6y, is a form of a linear equation. A linear equation can be written in the form y = mx + b, where m is the slope and b is the y-intercept. The given equation can be rewritten as y = (2/3)x - n, where n is the y-intercept that is not given in this case. The equation represents a straight line in a two-dimensional coordinate system.

To see how this conversion is done, you can isolate y in the initial equation. The initial equation is 4x - 6y = 0. If you rearrange the terms, you get -6y = -4x, and after dividing both sides by -6, you get y = (2/3)x, which is its equivalent form.

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A basketball player scored 29 times during one game. she scored a total of 45 points, two for each two-point shot and one for each free throw. How many two-point shots did she make? How many free throws?

Answers

x = 2 point shot

y = free throw

x +y = 29

x = 29-y

2x +y = 45

2(29-y) + y = 45

58 -2y +y = 45

58-y = 45

-y = -13

y = 13

29-13 = 16

16*2 = 32

16 two pint shots and 13 free throws

Answer:

16 two pint shots and 13 free throws

Step-by-step explanation:

Name the Solid Figure that has congruent squares on all six



THIS IS 11 POINTS

Answers

ITS A HEXAGON
BECAUSE IT HAS 6 SIDES

What is the slope of the line that contains points (2,9) and (8,7) ?

Answers

Slope (M) = -0.33333333333333
θ = 341.56505117708°
distance (D) = 6.3245553203368
ΔX = 6
ΔY = -2

slope = change in y over change in x

y = 7-9 = -2

x = 8-2 =6

 slope = -2/6 = -1/3


The graph shows the total fare, y, for a taxi ride with respect to the miles traveled, x.

What is the y-intercept and what does it represent?

Question options:

The y-intercept is 3 and it represents the initial fee before any miles are traveled.


The y-intercept is 3 and it represents the cost of traveling 1 mile.


The y-intercept is 0 and it represents the initial fee before any miles are traveled.


The y-intercept is 20 and it represents the cost of the cab ride.

Answers

"The y-intercept is 3 and it represents the initial fee before any miles are traveled." is the correct answer because the line touches the y-axis at 3. 

If you don't know why 3 represents the initial fee picture this. You get into the taxi and have not traveled any miles, but instead of starting out at zero, the money meter shows $3.00. The cost of every mile you travel is added to the initial $3.00.

Hope this helps!
and May the Force Be With You

-Jabba

How does math plays a role in situations concerning the dreamers?? Plz I need help

Answers

Well to give you an idea math plays a role in situations concerning the dreamers, when it comes to counting all those people that are in the program. You could use a ratio to compare the number of people in the us to the dreamers, also you could compare the people that want to delete the program and the ones who are fighting for it. This is just giving you some Ideas :)

Which expression is equivalent to 2(m − 4) + 1?

A. 2m − 7
B. 2m − 3
C. 2m + 9
D. 2m + 10

Answers

2(m - 4) + 1
2m - 8 + 1
2m - 7

So the correct option is A

Hope This Helps You!

Answer:

I believe the answer is 2m - 7 but I could be wrong, I'm only guessing to what seems to be the most accurate

Step-by-step explanation:

13. Which equation has no solution? (1 point) 5v + 3 = 5v – 5 2x – 4 = 2x + 7 – x 2y + 5 – y = 2y – 3(y – 6) 7z + 9 = –7z – 6

Answers

The first equation ;-) 
It simplifies down to 3 = -5 which isn't true so, no solutions!

last question .. i think
please give me the answer :)
i just dont understand

Answers

Amaro has the most amount of cards.  Amaro has x cards.  Mateo has half as many cards as Amaro, or 1/2x cards, and Agustin has 1/4 as many cards as Mateo, or 1/4*1/2x, or 1/8x cards.

a certain number of quartersz five times as many pennies as quarters, and 12 more dimes than quarters are worth 8.00. dollars how many of each coins are there

Answers

5... I'm guessing and just trying to get credit lol

Answer:

Step-by-step explanation:

what is 7y+4x=3 that is in slope-intercept form of the equation and is the perpendicular to the line that passes through the point of (-4, -7)

Answers

Use the slope-intercept form y=mx+b to find the slope m and y-intercept b.           
slope: -4/7

Y-Intercept: 3/7

It took a truck, which is moving at 60 mph, 8 hours to get from Boston to Washington DC. How long will it take a car to get from Boston to Washington DC, if it travels at 75 mph?

Answers

For this case we have that by definition the time is given by:

[tex]t=\frac{d}{v}[/tex]

Where the variable "d" represents the distance and "v" represents the speed.

So, first we need to know the total distance:

[tex]d=(v)(t)[/tex]

[tex]d=(60)(8)[/tex]

[tex]d=480 mi[/tex]

Then, the time for 75mph is given by:

[tex]t=\frac{480}{75}[/tex]

[tex]t=6,4[/tex]

Answer:

6,4 hours

Answer:

6.4 hours

Step-by-step explanation:

60*8/75=

480/75=

6.4

Employees that must use powder-actuated tools are _________ to be licensed and trained to use them safely.

Answers

required because to use a tool like a powder tool u need to be good at handling the tool


Answer:

Employees that must use powder-actuated tools are REQUIRED to be licensed and trained to use them safely.

Step-by-step explanation:

The powder actuated tools are also known as explosive actuated fastening tools. These tools operate like loaded guns that is why proper and careful handling of such tools is required. Only trained and licensed persons should be allowed to work with such tools.

Solve the equation. Explain each step and identify the property used to reach each step.
0.6x + 0.8 = 1.4

Answers

To isolate the variable X we subtract 0.8 from both sides to get the new equation 0.6x=0.6 Then divide the entire equation by 0.6 to get x=1.

The value of x is 1 after applying the property of the subtraction and division if the equation is 0.6x + 0.8 = 1.4.

What is a linear equation?

It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.

If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.

It is given that:

The linear equation is:

0.6x + 0.8 = 1.4

Subtract 0.8 on both sides

0.6x = 1.4 - 0.8 (Subtraction property of the equality)

0.6x = 0.6

Divide by 0.6 into both sides

x = 1  (Division property of equality)

Thus, the value of x is 1 after applying the property of the subtraction and division if the equation is 0.6x + 0.8 = 1.4.

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Azul needs to buy 3,500 ml of juice. How many liters of juice should Azul buy?

Answers

Azul should buy 3.5 liters of juice, but if they do not sell 1/2 liters then he needs to buy 4 liters 
The answer would be 3.5 liters Your welcome dude

Help me for 1 through 6 pls I WANT TO FINISH ON TIME THANKS YOU

Answers

1) put a bar over the last 4
2) put a bar over the last 3 numbers (198)
3) Put a bar over the last 2 numbers (39)
4)0.818181
5)0.199999
6)0.36743674

hope this helps

Which shows the correct way to find 
1
,
745
×
47
?
1,745×47?

Answers

1,745 multiplied by 47 equals 82,015.

To correctly find the product of 1,745 and 47, you should use long multiplication.

Here's the step-by-step process:

      1,745

x         47

-------------

     12,215   (1,745 times 7)

    8,725     (1,745 times 4, shifted one position to the left)

-------------

    82,015

Begin by multiplying 1,745 by 7, which gives 12,215.

Then, multiply 1,745 by 4 and shift the result one position to the left, yielding 8,725.

Finally, add these two results together to get the product, which is 82,015.

So, 1,745 multiplied by 47 equals 82,015.

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