Your computer supply store sells two types of inkjet printers. The first, type A, costs $241 and you make a $25 profit on each one. The second, type B, costs $103 and you make an $11 profit on each one. You can order no more than 140 printers this month, and you need to make at least $2660 profit on them. If you must order at least one of each type of printer, how many of each type of printer should you order if you want to minimize your cost?

Answers

Answer 1

Answer:

The number of printers for type A = x = 80 printers

The number of printers for type B = y = 60 printers

Step-by-step explanation:

Let the number of printers for type A = x

Let the number of printers for type B = y

You can order no more than 140 printers this month

x + y ≤ 140

x + y = 140

x = 140 - y

Profit for type A = $25

Profit for type B = $11

You need to make at least $2660 profit

25x + 11y ≥ 2660

25x + 11y = 2660

Substitute 140 - y = x

25(140 - y ) + 11y = 2660

3500 - 25y + 11y = 2660

3500 - 2660 = 25y - 11y

840 = 14y

y = 840/14

y = 60 printers

x = 140 - y

x = 140 - 60

x = 80 printers

To minimize cost :

The number of printers for type A = x = 80 printers

The number of printers for type B = y = 60 printers


Related Questions

which numerical pattern in nonlinear?
A. 3, 11, 19, 27,
B. 1, 3, 9, 27
C. 1, 4, 7, 10,
D. 2, 3, 4, 5

Answers

Answer:

I am going with B.1,3,9,27

Step-by-step explanation:

A,C and D the patterns are from addition ie. A +8, C+3 and D +1 but B it's ×3

10 Given a || b. Find the value of z that makes ; || k.
Turned in
+27)
id document
(4:+3y)
N
submit
57
**/y+ :)
z=228
z=11.25
2 = 17.25
2= 48

Answers

maybe try quizzlet that would really help i swear

Solve the system by elimination:
-2x + 2y + 3z = 0
-2x - y + z = -3
2x+ 3y + 3z = 5

Answers

First= -2x+2y+3z=0

= -2x+2y+3z +-2y=0+(-2y)

-2x+3z=-2y

-2x+3z=-2y+-3z

-2x=-2y-3z

Divide both by negative two
-2x/-2=-2y-3z/-2

x=y+3/2z that’s the answer.


Use this to help you with other equations

Use a calculator to find a value of θ between 0° and 90° that satisfies the statement. Write your answer in degrees and minutes rounded to the nearest minute.


csc(theta)= 4.1191

Answers

Answer:

[tex]\theta = 14.1\ degrees[/tex]

[tex]846\ minutes[/tex]

Step-by-step explanation:

Given

[tex]csc(\theta) = 4.1191[/tex]

Required

Solve for [tex]\theta[/tex]

[tex]csc(\theta) = 4.1191[/tex]

[tex]csc(\theta) = \frac{1}{sin(\theta)}[/tex]

So, we have:

[tex]\frac{1}{sin(\theta)} = 4.1191[/tex]

Invert both sides

[tex]sin(\theta) = \frac{1}{4.1191}[/tex]

[tex]sin(\theta) = 0.2428[/tex]

Take [tex]sin^{-1}[/tex] of both sides

[tex]sin^{-1} sin(\theta) = sin^{-1}0.2428[/tex]

[tex]\theta = sin^{-1}0.2428[/tex]

[tex]\theta = 14.0518577574[/tex]

[tex]\theta = 14.1\ degrees[/tex] --- approximated

Convert to minutes:

[tex]1\ degree = 60\ minutes[/tex]

So:

[tex]14.1\ degrees = 14.1 * 60\ minutes[/tex]

[tex]14.1\ degrees = 846\ minutes[/tex]

Polynomial A: 4z + 724 - 7y+7
Polynomial B: 2.c + 12y - 12z - 7
What will be the coefficients for x, y, and z in the resulting sum?
Select all that apply.
-8
-5
-5
2
5
9
Asse
16
Sect
GO BACK
SUBMIT AND CONTINUE
284691-1307

Answers

Answer:

-8z +724 + 5y +2c

Step-by-step explanation:

Combine like terms

Suppose that minor errors occur on a computer in a space station, which will require re-calculation. Assume the occurrence of errors follows a Poisson process with a rate of 1/2 per hour. (a) Find the probability that no errors occur during a day. (b) Suppose that the system cannot correct more than 25 minor errors in a day, in which case a critical error will arise. What is the probability that a critical error occurs since the start of a day? Keep up to the 6th decimal place in your answer. (c) Suppose the error correction protocols reset themselves so long as there are no more than five minor errors occurring within a 2 hour window. The system just started up and an error occurred. What is the probability the next reset will occur within 2 hours?

Answers

Answer:

a

  [tex] P(X = 0) =  0.6065 [/tex]

b

[tex]P(x <  25 ) =   1.18 *10^{-33} [/tex]

c

 [tex]  P(x \le 5 ) =  0.9994 [/tex]    

Step-by-step explanation:

From the question we are told that

  The rate  is [tex]\lambda =  \frac{1}{2}\   hr^{-1}[/tex]    =  0.5 / hr

  Generally  Poisson distribution formula is mathematically represented as

       [tex]P(X = x) =  \frac{(\lambda t) ^x e^{-\lambda t }}{x!}[/tex]

Generally the probability that no error occurred during a day is mathematically represented as  

Here  t =  1  hour according to question a

So

   [tex]P(X = x) =  \frac{\lambda^x e^{-\lambda}}{x!}[/tex]

Hence

   [tex][tex]P(X = 0) =  \frac{\frac{1}{2} ^0 e^{-\frac{1}{2}}}{0!}[/tex]

=>  [tex] P(X = 0) =  0.6065 [/tex]

Generally the probability that  a critical error occurs since the start of a day is mathematically represented as

Here  t =  1  hour according to question a

So

   [tex]P(X = x) =  \frac{\lambda^x e^{-\lambda}}{x!}[/tex]

Hence

      [tex]P(x \ge 25 ) =  1 - P(x <  25 )[/tex]

Here

     [tex]P(x <  25 ) = \sum_{x=0}^{24} \frac{e^{-\lambda} * \lambda^{x}}{x!}[/tex]

=>   [tex]P(x <  25 ) =  \frac{e^{-0.5} *0.5^{0}}{0!} + \cdots + \frac{e^{-0.5} *0.5^{24}}{24!}[/tex]

[tex]P(x <  25 ) =  0.6065 + \cdots + \frac{e^{-0.5} *0.5^{24}}{6.204484 * 10^{23}}[/tex]

[tex]P(x <  25 ) =  0.6065 + \cdots + 6.0*10^{-32}[/tex]

[tex]P(x <  25 ) =   1.18 *10^{-33} [/tex]

Considering question c

Here  t =  2  

Gnerally given that the  system just started up and an error occurred  the probability the next reset will occur within 2 hours

[tex]P(x \le 5 ) =  \sum_{n=0}^{5}  \frac{(\lambda t) ^x e^{-\lambda t }}{x!}[/tex]

=> [tex]P(x \le 5 ) =   \frac{(0.5 *  2) ^ 0 e^{- 0.5  * 2 }}{0!} + \cdots  +   \frac{(0.5 *  2) ^ 5  e^{- 0.5  * 2 }}{5!}[/tex]

=> [tex]P(x \le 5 ) =   \frac{1* 2.7183 }{1 } + \cdots  +   \frac{1  *2.7183 }{120}[/tex]

=>  [tex]P(x \le 5 ) =   2.7183 + \cdots  +   0.0226525[/tex]

 [tex]  P(x \le 5 ) =  0.9994 [/tex]    

Graph the linear function
f(x)=3-6x

Answers

Answer:

The best thing to use is Desmos the graphing calculator then just take a screenshot.

Step-by-step explanation:

Hope this helps and have a great day!

Which statement best describes the graph of 2c - 5y=-25 and the graph of y= +5?​

Answers

Answer:

To easily compare the two linear equations just by looking at the equation, let's rearrange this into the slope-intercept formula: y = mx + b, where m is the slope and b is the y-intercept.

2x - 5y = -25

(-5y = -25x - 2x)-1

5y = 25/5 +2x/5

y = (2/5)x + 5

Thus, the slope is 2/5 and the y-intercept is 5.

y=52x + 5

The slope is 52 and the y-intercept is 5.

Thus, we can say that the two linear equations have the same y-intercept. This is the point in the y=-axis in which the two lines intersect. They must intersect at (0,5).

Step-by-step explanation:

The width of a rectangle is 1 ft less than the length. The area is 30 ft2. Find the length and the width.

Answers

Answer:

the anwer is 5*6

Help me ...again please n ty

Answers

The answer to number 8 is $141.6

Answer:   Number 5 is 60%

Step-by-step explanation:

I need a scale drawing of a house,2 inches:5 feet. The actual kitchen of the house will be 17 feet long. How long will the drawing of the kitchen be?

Answers

Answer:

8.5

Step-by-step explanation:

Find the total amount of water that will leak in the first 24 hours if the leak is not fixed. Use the formula sn=a1-rn1-r and round to the nearest whole milliliter.

77+(1/2)^n-1

Answers

whats the formula?

Step-by-step explanation:

A part manufactured by plastic injection molding has a historical mean of 100 and a historical standard deviation of 8. Find the value of the mean thickness required to make the probability of exceeding 101 less than 8%.

Answers

Answer:

The probability of thickness exceeding 101 is 0.4483.

Step-by-step explanation:

Let X denote the thickness of the part manufactured by plastic injection molding.

Assume that X follows a normal distribution with mean, μ = 100 and standard deviation, σ = 8.

Compute the probability of thickness exceeding 101 as follows:

[tex]P(X>101)=P(\frac{X-\mu}{\sigma}>\frac{101-100}{8})[/tex]

                    [tex]=P(Z>0.125)\\\\=1-P(Z<0.125)\\\\=1-0.55172\\\\=0.44828\\\\\approx 0.4483[/tex]

Thus, the probability of thickness exceeding 101 is 0.4483.

A line that divides a circle into two equal halves is the?

Answers

Answer:

A bisector  or angle

Step-by-step explanation:

An angle only has one bisector. Each point of an angle bisector is equidistant from the sides of the angle. The interior or internal bisector of an angle is the line, half-line, or line segment that divides an angle of less than 180° into two equal angles.

Write the solution set of the given homogeneous system in parametric vector form. 0 where the solution set is x

Answers

Answer:

[tex]x_{1} + 3x_{2} + x_{3} = 0\\[/tex]

X = [tex]\left[\begin{array}{ccc}x_{1}\\x_{2}\\x_{3}\end{array}\right][/tex] = [tex]\left[\begin{array}{ccc}5x_{3}\\-2x_{3}\\x_{3}\end{array}\right][/tex] = [tex]x_{3} \left[\begin{array}{ccc}5\\-2\\1\end{array}\right][/tex]

Step-by-step explanation:

Parametric vector form is the set of equation which form a line. The parametric equation is set and the vector matrix is formed based on the given equation. The solution set of x is found by equating the 0. It express a set of explicit independent variables.

k. 3 kg 924 g - 1 kg 893 g​

Answers

Converting to grams:

Converting these values to grams will make them easier to subtract

3 kg 924 grams OR 3.924 kg  = 3924 grams

1kg 893 grams OR 1.893 kg = 1893 grams

Subtracting:

Now that we have the values in grams, we will put them in their initial order and subtract them

3924 - 1893 = 2031 grams = 2.031 kg  OR  2 kg 31 grams

At a sale this week, a suit is being sold for $306 . This is a 15% discount from the original price.
What is the original price?

Answers

Answer:

260.1

Step-by-step explanation:15% of 306=45.9

306-45.9=260.1

Answer:

351.9

Step-by-step explanation:

x/306=15/100. then I cross multiplied. And when I do I get 100x/100=4590/100.

I cross out the 100/100 and I leave with x, then I divide 4590 with 100 and get 45.9. So x=45.9.

Then I added the price it was sold..=306+45.9=351.9



The water level of a lake rose by 1 2/3 in. during a 3 1/3 week-long wet spell. Simplify the complex

fraction below to find the average rate at which the water level changed every week.

Answers

Given that,

The water level of a lake rose by 1 2/3 in. during a 3 1/3 week-long wet spell. We need to find the average rate at which the water level changed every week. It is a problem based on the concept of ratio. So,

[tex]R=\dfrac{1\dfrac{2}{3}}{3\dfrac{1}{3}}\\\\=\dfrac{\dfrac{5}{3}}{\dfrac{10}{3}}\\\\=\dfrac{5}{3}\times \dfrac{3}{10}\\\\=\dfrac{1}{2}[/tex]

So, the average rate at which the water level changed every week is 1/2 inches/week.

In 1-3, match each description with the correct graph. Not all graphs will be used.



1.

My graph is non-proportional with a negative y-intercept.

2.

My graph is proportional with a negative slope.

3.
My graph is non-proportional with a positive slope

Answers

Answer:

1. d

2. b

3. a

Step-by-step explanation:

1. d => "my graph is non-proportional with a negative y-intercept."

Rationale: it is non-proportional because it does not pass through the point of origin, (0, 0). And also, the line intercepts the y-axis at a point where the value of y is below the point of origin, 0. That gives us a negative y-intercept value.

2. b => "My graph is proportional with a negative slope."

Rationale: it is proportional because the straight line cuts through the point of origin, (0, 0). And also, the line slants downward from left to the right, thus, such downward slope gives us a negative slope value.

3. a => "My graph is non-proportional with a positive slope".

Rationale: it is does not cut across the point of origin, and also the slope slants upward from left to the right. Therefore, it is a non-proportional graph with a positive slope.

Susan is buying supplies for a party. Spoons only come in bags of 12 and forks only come in bags of 22.


What is the least number of spoons and the least number of forks she can buy so that she has the same number of each?.

Answers

Answer:

The least number of spoons = 11 spoons

The least number of forks = 6 forks

Step-by-step explanation:

We are told in the question:

Spoons only come in bags of 12

Forks only come in bags of 22.

This is an LCM question, hence, we find the Multiples of 12 and 22

The first common multiple is found and this is the lowest common multiple.

Multiples of 12:

12, 24, 36, 48, 60, 72, 84, 96, 108, 120, 132, 144, 156

Multiples of 22:

22, 44, 66, 88, 110, 132, 154, 176

Therefore,

LCM(12, 22) = 132

The least number of supplies she can have is 132.

So therefore,

The least number of spoons = 132 ÷ 12 bags of spoons = 11 spoons

The least number of forks = 132 ÷ 22 bags of forks = 6 spoons.

ill give brainiest bros

Answers

how are we supposed to make a line plot

Answer:

Pic Below

Step-by-step explanation:

Hope this helps! <3

1 2/3 multiplied by -3 1/2

Answers

Answer: -5 5/6

Step-by-step explanation:

Convert each number into. 1 2/3 = 5/3 (1=3/3, so 3/3 + 2/3) and -3 1/2 = - 7/2

Then multiply the numbers

5/3 x -7/2 = -35/6 (5x7= 35 and 3x2= 6, negative because a negative times a positive is a negative)

Then simplify....6 goes into 35 5 times with 5 remaining, so -35/6 = -5 5/6

Select all the possible (x,y) coordinates for the following linear equation y=3x+2

Answers

Answer:

x = 2/3

Step-by-step explanation:

To find x-intercept/zero, subtract y = 0

0 = 3x + 2

Move variable to the left-hand side and change its sign

-3 = 2

Divide both ides of the equation by - 3

x = - 2/3

Solution

x = - 2/3

Alternate form

x = - 0.6

9. A car is traveling in a straight line path at a maximum speed of 7.00 m/s. The
driver of the vehicle applies the brakes bringing the car to a stop after traveling
10.0 m. What is the magnitude of the car's acceleration to the nearest
hundredths place?

Answers

Answer:

30mph

Step-by-step explanation:

The magnitude of the car's acceleration is 2.45 m/[tex]\rm sec^2[/tex] and this can be determined by using the equation of kinematics.

Given :

A car is traveling in a straight-line path at a maximum speed of 7.00 m/s.The  driver of the vehicle applies the brakes bringing the car to a stop after traveling  10.0 m.

According to the kinematics:

[tex]\rm v = u + at[/tex]     --- (1)

where v is the final speed, u is the initial speed, a is the acceleration and t is time.

Now, put the known terms in equation (1).

0 = 7 + at

at = -7  

[tex]\rm t = -\dfrac{7}{a}[/tex]      --- (2)

From the kinematics the displacement is given by the equation:

[tex]\rm S =ut+\dfrac{1}{2}at^2[/tex]

Now, put the values of u, S, and t in the above equation.

[tex]10=7\times \dfrac{-7}{a}+\dfrac{1}{2}\times a \times \dfrac{49}{a^2}[/tex]

Now, simplify the above equation.

[tex]10=-\dfrac{49}{a}+\dfrac{49}{2a}[/tex]

20a = -49

a = -2.45

So, the magnitude of the car's acceleration is 2.45 m/[tex]\rm sec^2[/tex].

For more information, refer to the link given below:

https://brainly.com/question/7590385

The Tigers’ first play when they had possession of the ball went for -3 yards. Did the Tigers gain or lose yards on that play? How many yards did they gain or lose?

Answers

Hi I’m Abbi, pls brainiest me! The answer is loose yards and -3 hope this helps :)

Answer:

вы молодец и увас всё получилось

6th grade math teehehheeheeheheheheehe​

Answers

Answer:

i think it's the second one

Step-by-step explanation:

i am not sure if it is correct or not. i hope it helps!

It’s the second one ........

please help 25 point asap​

Answers

Answer:

B

Step-by-step explanation:

Answer:

b) B,A,C

Step-by-step explanation:

I thought of a number, then divided it by another number, and got a result of a 7. Think of the possible values for my number and the number I divided it by. What number is impossible to divide by? What number can my original number not be?

Answers

Answer:

Possibilities are endless. It's impossible to divide by 0.

Your number can't be 0.

Step-by-step explanation:

^^^

What is the slope of the line?

Answers

Answer:

-1.5

Step-by-step explanation:

I'm a little confused.

(2y+14.6+3.8)-(34.8m+15.6+2y)

Answers

Answer:

5.6

Step-by-step explanation:

You most likely will end up putting it in slope form y=mx+b

(2y+14.6+3.8)-(34.8m+15.6+2y) collect like terms

(2y+18.4)-(34.8m + 15.6 + 2y) = 2.8 + 34.8m

2y-2y= 0

18.4 - 15.6= 2.8

34.8m -0 = 34.8m

2.8 + 34.8m ( I think we should further simplify)

so minus 2.8 on both sides

34.8m = -2.8(divide by 34.8 on both sides)

m = -7/87

Plug in

(2y+14.6+3.8)-(34.8(-7/87)+15.6+2y) collect like terms

(2y+18.4)-(-2.8 + 15.6 + 2y) collect like terms

(18.4)-(12.8)= 5.6

2y-2y = 0

34.8(-7/87)= -2.8

18.4 - 12.8 = 5.6

Other Questions
Two large containers A and B of the same size are filled with different fluids. The fluids in containers A and B are maintained at 0 C and 100 C, respectively. A small metal bar, whose initial temperature is 100 C, is lowered into container A. After 1 minute the temperature of the bar is 90 C. After 2 minutes (since being lowered into container A) the bar is removed and instantly transferred into the other container. After 1 minute in container B the temperature of the bar rises 10. How long, measured from the start of the entire process, will it take the bar to reach 99.7 C? (Round your answer to two decimal places. Assume the final temperature being asked for is reached while the bar is container B.) t = min If 25.98 mL of 0.1180 M KOH reacts with 52.50 mL of CH3COOH solution, what is the molarity of the acid solution? SOS SOMEONE ANSWER:What happens when a country's central bank decreases the interest rate onreserves for banks?A. Banks are required to sell all their treasury securities on the openmarket.B. Banks receive less money from the government for keeping cashon hand.C. Banks must lend money at interest rates that are below marketvalues.D. Banks are forced to set aside more of their money instead oflending it. Write the equation of a line in Slope-Intercept Form that passes through the points(-8, -12) and (4, -3). how many times 92 go in too 100 1 11. What is the constant of proportionality? y = 8x Yo BrainliesI love you guys sm and i have to ask something Whatt is cell membrane And give a sentenceAhve great DAIESSSS multiply 0.87 x 0.4 I'm writing this for 20 characters The reaction between ethylene and hydrogen bromide to form ethyl bromide is carried out in a continuous reactor. The product stream is analyzed and found to contain 58.7 mol% C2H5Br and 18.3 mol% HBr. The feed to the reactor conains only ethylene and hydrogen bromide. Calculate the fractional conversion of the limiting reactant and the percentage by which the other reactant is in excess. If the molar flow rate of the feed stream is 305 mol/s, what is the extent of reaction Find the slope of the line $3x+5y=20$. 4. What did New Deal programs do for Americans? Two of the computers at work suddenly cant go online or print over the network. The computers may be trying to share the same IP address. Which strategy is most likely to solve the problem?rebooting the network serverreconfiguring the network hubsinstalling network gateway hardwarelogging off one of the computers, and then logging back o Rewrite in simplest terms: -10(-3m-10)-3(-8m+3) i don't usually ask questions that often but I actually need help this time. so if you know answer please :D HELP WILL GIVE BRAINLIST! Compare and contrast the concepts of judicial restraint and judicial activism. What is meant by each of these terms, and how do these philosophies impact how justices decide cases? Drag and drop the North American colony to the European nation that first claimed it. it Global Studies 30 POINTS!!!!HELP ME PLZZ MY TEACHER IS MAD AT ME AND SHE IS GOING TO FAIL ME IF I DONT DO THIS SO PLZZ HELP ME !!!!! Which development would most likely cause the supply of a product toincrease?A. Government regulations increase the cost of making the productB. Fewer workers receive the education needed to create theproduct.OC. Companies expect the selling price of the product to risesignificantlyD. Reliance on old technology leads to higher production costs forthe product 1. What well-known Georgian was a leader in the movement to send freed blacks back to Africa?Paul CuffeFrederick DouglassWilliam Lloyd GarrisonWilliam H. Crawford Look at Benjamin Franklins political cartoon from 1754. How does the cartoon depict the American colonies? Why was their political and economic tension between the British and the French?(Explain 2 reasons)