A small company manufactures two products: A and B. Each product requires three operations: assembly, finishing and testing. Product A requires 1 hour of assembly, 3 hours of finishing, and 1 hour of testing. Product B requires 3 hours of assembly, 1 hour of finishing, and 1 hour of testing. The total work-hours available per week in the assembly division is 60, in finishing is 60, and in testing is 24. Each item of product A has a profit of $50, and each item of Product B has a profit of $75. How many of each should be made to maximize profit?

Answers

Answer 1

Hence,the company should produce 12 pieces of Model A and 6 pieces of Model B to get the maximum profit i.e. 168000.

How many of each should be made to maximize profit?

Let x be the number of pieces of model A and y be the number of pieces of model B.

Let total profit be Z

Then, Total profit =8000x+12000y

                         Z=8000x+12000y .............. (i)

Now we have the following mathematical model for the given problem 

Max Z=8000x+12000y

Subject to constraints 

9x+12y≤180 .......... (Fabricating constraints)

3x+4y≤60   .......... (ii)

x+3y≤30   (Finishing constraints)........ (iii)

Let us evaluate the objective function Z at each point as shown below

At C(0,10),  Z=8000×0+12000×10=120000

Maximum value of Z is 168000 at B(12,6)

Hence, the company should produce 12 pieces of Model A and 6 pieces of Model B to get the maximum profit i.e. 168000.

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Answer:

y=1x+2

Step-by-step explanation:

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Y=1x+2!!! Plug in the x part of the chart :)

1. In a four-hour TV program, the commercials show 10% of the time.
How many minutes of commercials are shown during the four-hour
duration of the program?Round to the nearest tenth of a minute

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Answer:

1

Step-by-step explanation:

I have devided10/100 I hope you can understand from the picture posted there

What angles are congruent and opposite each other when lines intersect

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Answer:

Vertical angles.

Step-by-step explanation:

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A six-sided fair mmber cube is rolled once. What is the probability that the result is a 2 or a 5?
Write answer as fraction in its simplest form.

Answers

Answer:

1/3

Step-by-step explanation:

this is because you have six sides and two options to get and then 2/6 is 1/3

Meredith is playing games at the arcade to earn tickets that she can exchange for a prize. She has 278 tickets from a previous visit, and she earns 5 each game she plays. If Meredith needs 388 tickets to exchange for the prize, how many games does Meredith need to play?

Answers

I believe the answer would be 22

I am assuming she already has 278, so the amount of tickets needed needs to be found
388-278 = 110

Since she gets 5 tickets from each game, you divide
110/5 = 22

So she would need to play 22 games to get the remainder of the tickets

Please correct me if I am wrong, have a good day!

Also, the picture is blacked out, from my personal experience, the picture needs to exist in your device as in your camera roll before you upload it.

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Answer:

A

Step-by-step explanation:

Smallest to Largest

Natural numbers

Whole numbers

Integers

Rational numbers

Adding and subtracting integers not a lot!!

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Answer:

??

Step-by-step explanation:

Find the median of the data. 12,33,18,28,29,12,17,4,2

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Step-by-step explanation:

Answer:17

Step-by-step explanation: you’re welcome

What is the standard form of (6,-3),(-2,-3)

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Answer:

2x - 3y = 21

What is the range of ordered pairs represented on the graph? ​

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Answer:

Step-by-step explanation:

1st. (4,6)

2nd. (-6,-2)

3rd. (8,4)

4th. (-4,-10)

What is the surface area of the cone? (Use 3.14 for π.)



339.12 cm ^2
715.92 cm ^2
307.72 cm ^2
417.62 cm ^2

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Answer:

tambil anseeciot

Step-by-step explanation:

There are 439 TV high school students. 87 are absent today. What percent of
students are absent? Round to the nearest whole percent. *

Answers

Answer:

23

Step-by-step explanation:

There are approximately 20% students are absent.

What is a Percentage?

A Percentage is a number or ratio expressed as a fraction of 100.

Given that there, 439 students and 87 are absent

Percentage = 87/439 * 100 % = 19.81 ≈ 20%

Hence, there are approximately 20% students are absent.

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The area of a circle is 121π cm squared. What is the circumference in terms of π?

Answers

Answer:

38 cm cubic

Step-by-step explanation:

C = 2√πA

C = 2√3,14 x 121

C = 2√379,94

C = 2 x 19,49204966133629

C = 38,98409932267258 = 38 cm cubic

hope this help !

(don't forgot to make this the best answer)

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PLEASE DONT USE THAT LINK

In August, Emily's Clothing Store sold 98 long sleeve shirts with the ratio of short sleeve to long sleeve being 3:7. How many short sleeves were sold?

Answers

Answer:

the number of short sleeves sold is 42

Step-by-step explanation:

The computation of the number of short sleeves sold is shown below:

Given that

The clothing store sold 98 long sleeve shirts

And, the ratio of short sleeve to long sleeve is 3:7

So, the number of short sleeves sold is

= 98 × 3 ÷ 7

= 42

Hence, the number of short sleeves sold is 42

Fred finishes one assignment in 3 hours. Assuming he works at a constant pace over several hours, write an equation that depicts the relationship between time in hours h and number of assignments finished f.

Answers

The equation that depicts the relationship between time in hours h and number of assignments finished f is f  = 3h

How to write an equation?

He finishes one assignment in 3 hours.

He does the assignment at a constant rate over several hours.

Therefore, the equation that depicts the relationship between time in hours h and number of assignments finished f is as follows:

where

h = time in hoursf = number of assignment

Hence, the equation is :

f  = 3h

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Help me please. Stuck on y is [] times x.

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Answer:

1 2/3

hope this helps :)

Step-by-step explanation:

Answer:

y=0.6x

Step-by-step explanation:

y=kx

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Answer:

B, A, C

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Answers

Given:

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To find:

The value of [tex]P(A\cup B)[/tex], rounding to the nearest thousandth.

Solution:

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HELP ASAP!! A recipe calls for 2.3 cup of milk. if you make 3 1/2 times the recipe, how much milk do you need?

Answers

The question is basically asking what 3.5 x 2.3 is. So the answer would be 8.05. If you read carefully it even tells you “times” I. The question. Hope this helps!!

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12

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A. 4

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Answer:

A. 4

Step-by-step explanation:

the answer is 4

i agree with the person above

What Dose 2+2 =
I've been stuck on this question for 7 years
/\ (Not Really to all the ❄)​

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Answer:

4

Step-by-step explanation:

took the test and got it right!

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Answer:

48

Step-by-step explanation:

Answer:

41yrs old

Step-by-step explanation:

now. 7yrs later

F. S. F. S.

x 5. x+7. 5+7

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20+28=x+7

48=x+7

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Base = 5cm
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A company rents out 17 food booths and 24 game booths at the county fair. The fee for a food booth is $50 plus $6 per day. The fee for a game booth is $80 plus $9 per day. The fair lasts for d days, and all the booths are rented for the entire time. Enter a simplified expression for the amount, in dollars, that the company is paid.

Answers

Given that 15 food booths were rented out for ‘d’ days at $100 plus $5 per day. On the food booths only, the company will earn 15($100+$5d) = $1500 + $75d Given that 20 game booths were rented out for ‘d’ days at $50 plus $7 per day. On the game booths only, the company will earn 20($50 + $7d) = $1000 + $140d

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Step-by-step explanation: Go.dzilla 2 king of monsters is one of the best movies out there in my opinion, right down to the CGI, the movie makers did a fantastic job of creating an emotional attachment to the family in the movie.  

Basically in the movie it starts in a nuclear power plant, the power plant has a melt down, kil.ling the team that went into the core to see what the issue was, the director of the power plants wife died and he knew that it wasn.t normal for the plant to meltdown the way it did, so he dedicates the rest of his life to trying to figure out what really happened there. He even goes as far as to sneak in to the restricted area with his son, when there they find out that they are digging up something from the wreckage, this is the giant moth (it wont let me say the name), The giant moth was feeding on the nuclear radiation and that was what caused the plant to melt down all those years ago. the giant moth then flies across the country searching for nuclear radiation and in turn waking her mate and destroying the place, this awakens Go.dzilla so that he can reassert himself as the ap.ex predator. He finds both the giant moths and kil.ls them and then returns to the bottom of the ocean.

Solve the quadratic equation
3x²-5x-7=0

Answers

Answer:

Step-by-step explanation:

The coefficients of this quadratic equation are {3, -5, -7}.  The discriminant (part of the quadratic formula) is b^2 - 4ac, which here is 25 - 4(3)(-7), or 109.

This positive discriminant indicates that there are two real, unequal roots.  

They are:

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x = ------------------

              6

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