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

Gwendolyn was physically present in the United States for 96 days in 2019, 198 days in 2018, and 66 days in 2017. Under the substantial presence test formula, how many days is Gwendolyn deemed physically present in the United States in 2019 g

Answers

Answer:

173 days

Step-by-step explanation:

The formula for substantial presence test is;

SBT = (Total of number of days present in the current tax year) + (1/3)(number of days in the year that was before the tax year) + (1/6)(number of days in the year that was two years before the tax year)

From the question, present tax year is 2019 and number of days is 96 days.

Year before tax year is 2018 and number of days is 198 days

2 years before tax year is 2017 and number of days is 66 days.

Thus;

SBT = 96 + ((1/3)198) + ((1/6)66)

SBT = 173 days

A journalist interviews 123 people after they leave a restaurant and asks them how confident they are that the food is safe.

Answers

Answer:

what do I need to do to answer

Step-by-step explanation:

What is the answer for number 12

Answers

Amanda finishes her 2 homework problem every 3 minutes

I don't believe I was shown how to complete this

Answers

Exact form: 1/5
Decimal form: 0.2

7 days left until launch of products with $668 left in budget. Need to spend $85 on last day. How many dollars do we spend on remaining days?

Answers

Answer:

In total, you have $668.00.

To reserve enough for the last day, you need to subtract the last day's budget:

This means that, for the remaining 6 days in the week, you have $583.00.

Assuming an equal amount is being spent each day, you can calculate the daily budget by dividing the remaining total by the number of days left.

To avoid going over budget, you can spend $97.16 per day for the other six days.

Hope this helps!

Step-by-step explanation:

28 points. I need help ASAP please

Answers

Answer:

1) Thousands

2) 5

3) ten million

4) 3,000,000

Step-by-step explanation:

Answer:

1.  hundred thousands

2. 5

3. ten millions

4.  3,000,000

Step-by-step explanation:

Here are two nets. Mai said that both nets can be assembled into the same triangular
prism. Do you agree? Explain or show your reasoning.

Answers

I believe the answer is yes. They both are comprised of two triangles, and three rectangles.

What kind of lines are shown?

Answers

Answer:

vertical and horizontal

To visit the top of the Empire State building , a ticket in 1999 cost four dollars , in 2019 the same ticket cost $32 ,what was the percentage change in the cost of the ticket ?

Answers

Answer:

700%

Step-by-step explanation:

The formula to find the percentage is found below =

[tex]\frac{changeinvalue}{absolutevalueoftheoriginalvalue} * 100[/tex]

So to find the change in value, we must subtract 32 from 4, which gets us -28.

We know the og value already, 4 dollars.

So do the division

[tex]\frac{-28}{4} =-7[/tex]

Now the multiplcation,

-7 * 100

-700

700%

HELP ASAP IT'S AN EMERGENCY​

Answers

I think it’s asa but I’m not positive

Will give brainliest if correct what is the discriminant of the quadratic equation: (multiple choice)

Answers

Answer:
The discriminant is 60

Chapter 4
Solve.
1. Two trains leave a station at the same time, heading in opposite directions.
One train is traveling at 80 km/h, the other at 90 km/h. How long will it
take for the trains to be 425 km apart?​

Answers

Answer:

8850

Step-by-step explanation:

coz the train goes too slowly and lazy

PLEASE MARK ME AS BRAINLIEST


19. passes through (1, 4) and (-1, 1)

Answers

Answer:

y = 3/2x + 2.5

Step-by-step explanation:

Use this formula to find the slope. y2-y2/x2-x1

Plug in

1-4/-1-1= -3/-2 = 3/2

So the slope is 3/2

To find the y-intercept use one of the points you were given. (1,4)

Plug in (1,4)

4 = 3/2(1) + b (b is the y-intercept)

4 = 3/2 + b (minus 3/2 on both sides)

2.5 = b or 5/2 = b

y = 3/2x + 2.5

Julie earned $130 one week and $125.50 the next week. After depositing these amounts in her account, she had a total of $335.

How much was already in her account before she deposited the $130 and $125.50?

Answers

Answer:

she had more than me

Step-by-step explanation:

Answer: $79.50

Step-by-step explanation:

Add together $130 and $125.50 to find out how much she deposited.

$130+125.50=$255.50

Now subtract the amount that was deposited from the total amount in her account.

$335−$255.50=$79.50

If the cosmic radiation to which a person is exposed while flying by jet across US is a random variable having mean 4.35 mrem and standard deviation 0.59 mrem,find the probabilities that the amount of cosmic radiation to which a person will be exposed on such a flight is:_______
(a) Between 4.00 and 5.00 mrem
(b) At least 5.50 mrem
(c) Less than 4.00 mrem

Answers

Answer:

a

[tex]P(4.00 <  X  <  5.00) =  0.58818  [/tex]  

b

[tex]P(X \ge 5.5) = 0.02564 [/tex]

c

[tex]P(X < 4 ) = 0.27652[/tex]

Step-by-step explanation:

From the question we are told that

   The mean is  [tex]\mu = 4.35[/tex]

    The standard deviation is  [tex]\sigma =  0.59[/tex]

Generally the probability that the amount of cosmic radiation to which a person will be exposed on such a flight is between 4.00 and 5.00 mrem is mathematically represented as  

   [tex]P(4.00 <  X  <  5.00) =  P(\frac{ 4 - \mu }{\sigma} <  \frac{X - \mu}{\sigma} <  \frac{ 5 - \mu }{ \sigma}  )[/tex]

Here [tex]\frac{X - \mu}{\sigma}  = Z  (The \  standardized \  value \  of \  X )[/tex]

=> [tex]P(4.00 <  X  <  5.00) =  P(\frac{ 4 - 4.35 }{0.59} <  Z <  \frac{ 5 - 4.35 }{ 0.59}  )[/tex]

=> [tex]P(4.00 <  X  <  5.00) =  P(-0.59322 <  Z <  1.1017  )[/tex]

=> [tex]P(4.00 <  X  <  5.00) =  P( Z <  1.1017  ) - P(Z < -0.59322)  [/tex]

From the z -table the probability of  ( Z <  1.1017  ) and  (Z < -0.59322)   are

      [tex]P( Z <  1.1017  ) =0.8647[/tex]

and

      [tex]P( Z <  -0.59322 ) =0.27652[/tex]

So

=> [tex]P(4.00 <  X  <  5.00) =  0.8647 - 0.27652  [/tex]    

=>  [tex]P(4.00 <  X  <  5.00) =  0.58818  [/tex]    

Generally the probability that the amount of cosmic radiation to which a person will be exposed on such a flight is  At least 5.50 mrem is mathematically represented as

     [tex]P(X \ge 5.5) = 1- P(X < 5.5)[/tex]

Here

      [tex]P(X < 5.5) =  P(\frac{X - \mu }{\sigma}  <  \frac{5.5 - 4.35}{0.59}  )[/tex]

      [tex]P(X < 5.5) =  P(Z< 1.94915) [/tex]

From the z -table the probability of (Z< 1.94915) is  

     [tex]P(Z< 1.94915) = 0.97436[/tex]

So

       [tex]P(X \ge 5.5) = 1- 0.97436[/tex]

=>     [tex]P(X \ge 5.5) = 0.02564 [/tex]

Generally the probability that the amount of cosmic radiation to which a person will be exposed on such a flight is less than 4.00 mrem is mathematically represented as

    [tex]P(X < 4) =  P(\frac{X - \mu }{\sigma}  <  \frac{4 - 4.35}{0.59}  )[/tex]

      [tex]P(X < 4) =  P(Z< -0.59322) [/tex]

From the z -table the probability of (Z< 1.94915) is  

     [tex]P(Z< -0.59322) = 0.27652[/tex]

So

       [tex]P(X < 4 ) = 0.27652[/tex]

Th e expert trail is 750 meters longer than the beginner trail. How long is each trail?

Answers

do they give the whole amount of both trails together? then someone would be able to answer this so pls add that

15 tens 7 ones what is the answer?

Answers

Answer:

157

Step-by-step explanation:

Answer:    15 tens and 7 ones in standard form would be 157. If you have 15 tens this means that you are adding 10, 15 times or multiplying 10 by 15, which gives you 150.

Step-by-step explanation: Hopefully this helped!

Can you please simplify c5 x c

Answers

Answer:

5c^2

Step-by-step explanation:

i think c is a variable so,

5xcxc = 5c^2

Hannah wants to buy a $460 camera. She can save $35 each week from her paycheck. However, before Hannah can buy the camera, she must give her brother $65 that she owes him. For how many weeks will Hannah need to save before she can pay back her and buy the camera?

Answers

Answer:

460+65=525/35=15 15 weeks

Every Sunday, Tamika sells pieces of homemade fudge at a local carnival. Each piece of fudge weighs 34 pound. Next Sunday, Tamika plans on

bringing 712 pounds of homemade fudge to sell.

How many pieces of fudge will Tamika be able to sell at the carnival next Sunday?​

Answers

Answer:

hshshshshshshshsiqkZjfdudiodjfhfbbxdudijdd

PLEASE HELP
For spirit week at a local high school, students were encouraged to wear their school colors of green and white. 1,200 students wore their school colors while 300 students did not wear green and white. What percent of the school population did NOT wear their school colors?
Here are the answer choices


A.
15%

B.
20%

C.
25%

D.
33%

Answers

Answer:

C.  25% The correct answer is C. 300 divided by 1200 equals 25%.

Step-by-step explanation:

Answer:

B.) 20%

Step-by-step explanation:

First, add 1,200 and 300. That gives you 1,500. You want to find how much percent of 1,500 equals 300, and that is 20%.

The temperature at 6 a.m. was −12°F. At 11 a.m. the temperature was 0°F. Which of the following shows the temperature change from 6 a.m. to 11 am?

Answers

Answer:

+12 degrees

Step-by-step explanation:

You never showed a picture, but im pretty sure this is correct

I hope this helped, please mark Brainliest, thank you!

Which of the following expressions is equal to 4+3(x-2)?

Answers

Answer:

i believe it is "3x+2"

Explanation:

first you distribute the 3 to the expression in the parenthesis and you get "3x-6" and add the +4 to the end of that expression and you get "3x-6+4" add "-6+4" and you get "-2" and then you get "3x--2"since a subtraction sign and a negative sign make it be addition you get the expression "3x+2"

i think the answer is 3x + 2

3x - 5 = 2x + 10
What’s the value of x

Answers

Answer:

x = 3

Step-by-step explanation:

braniest pls

Answer:

x=3

Step-by-step explanation:

-5          +10

              +5=15

+5=0

3x, 2x

+2     -2

5x=15

_      _

x=3

Find the value of x.
(5x-11)
V
(3x - 7)º

Answers

Answer:

1222222+1222222

Step-by-step explanation:

and then add doodod

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

Help with this one please

Answers

Answer:

(3x - 14) (2x - 7)

I hope this helps!

Question Help When purchasing bulk orders of​ batteries, a toy manufacturer uses this acceptance sampling​ plan: Randomly select and test 36 batteries and determine whether each is within specifications. The entire shipment is accepted if at most 2 batteries do not meet specifications. A shipment contains 3000 ​batteries, and 3​% of them do not meet specifications. What is the probability that this whole shipment will be​ accepted? Will almost all such shipments be​ accepted, or will many be​ rejected?

Answers

Answer:

The probability is [tex]P(X  \le 2 ) = 0.9072[/tex]

The company will accept 90.72% of the shipment and will reject [tex](100 -90.72) =  9.2\%[/tex] of the shipment , so many of the shipment are rejected

Step-by-step explanation:

From the question we are told that

   The  sample size is  n =  36

   The  proportion that did not meet the requirement is  [tex]p =  0.03[/tex]

Generally the probability that the whole shipment is accepted is equivalent to the probability that there is at most 2 batteries that do not meet the requirement , this is mathematically represented as

     [tex]P(X  \le 2 ) = [ P(X =  0 ) +  P(X =  1 ) + P(X = 0)][/tex]

=>   [tex]P(X  \le 2 ) = [ [^{n}C_0 * (p)^{0} *(1-p)^{n-0} ] +  [^{n}C_1 * (p)^{1} *(1-p)^{n-1} ] +  [^{n}C_2 * (p)^{2} *(1-p)^{n-2} ]][/tex]

Here C stands for Combination (so we will be making the combination function in our  calculators )

So

=> [tex]P(X  \le 2 ) = [ [^{36}C_0 * (0.03)^{0} *(1-0.03)^{36-0} ] +  [^{36}C_1 * (0.03)^{1} *(1-0.03)^{36-1} ] +  [^{36}C_2 * (0.03)^{2} *(1-0.03)^{36-2} ]][/tex]

=> [tex]P(X  \le 2 ) = [ [1 * 1 * 0.3340  ] +  [36* 0.03 *0.3444 ] +  [630 * 0.0009 *(0.355 ]][/tex]

=>[tex]P(X  \le 2 ) = 0.9072[/tex]

The company will accept 90.72% of the shipment and will reject [tex](100 -90.72) =  9.2\%[/tex] of the shipment , so many of the shipment are rejected

 

The set A = {1, 3, 5}. What is a larger set this might be a subset of?

Answers

Answer:

Step-by-step explanation:

A larger set that a particular set can be a subset of is a Universal set. A universal set is parent where all other sets are derived from.

For example, given a universal set U = {1,2,3,4,5}, a set A = {1, 3, 5} is said to be a subset of the set U because the elements of set B are contained in the Universal set U.

Also, sets like {1, 4,5} and {3,4,5} can also be regarded as the subset of U since all the elements of the sets can be found in the Universal set U. Hence the correct name of the set is a UNIVERSAL SET

So, the number of maximum subsets we can create from the given set is 8.

Subsets:

The subsets of any set consists of all possible sets including its elements and the null set. Let us understand with the help of an example.

Example: Find all the subsets of set A = {1,2,3,4}

Solution: Given, A = {1,2,3,4}

Subsets =

The subsets of any set consisting of all possible sets including its elements and the null set. Let us understand with the help of an example.

Example: Find all the subsets of set A = {1,2,3,4}

{}

{1}, {2}, {3}, {4},

{1,2}, {1,3}, {1,4}, {2,3},{2,4}, {3,4},

{1,2,3}, {2,3,4}, {1,3,4}, {1,2,4}

{1,2,3,4}

So, the formula is [tex]2^n[/tex].

The given set is,

[tex]A = \{1, 3, 5\}[/tex]

Here the number of an element is 3.

So, the maximum number of subsets we can create is,

[tex]2^n=2^3=8[/tex]

Learn more about the topic Subsets:

https://brainly.com/question/17514113

Paul and Seth know that one point on the line

Answers

Answer:

what

Step-by-step explanation:

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