Ethan builds two different kinds of chairs, rockers and swivels. It takes him 3 hours to build a rocker and requires 2 oz of stain. It takes him 2 hours to build a swivel chair and requires 8 oz of stain. Ethan has 56 oz of stain available and he can only work up to 24 hours. He makes $12 profit on each rocker and $10 profit on each swivel chair. 1. Since there cannot be negative chairs, create two constraints to represent this. 2.Create a constraint for the hours it takes to build the chairs. 3. Create a constraint for the stain it takes for the chairs. PLEASE HELP

Answers

Answer 1

Answer:

(1) [tex]x\geq 0\; \text {and}\;y\geq 0[/tex]

(2) [tex]3x + 2y\leq[/tex] 24

(3) [tex]x+4y\leq 28[/tex]

Step-by-step explanation:

Let x and y be the numbers of rockers and swivels made by Ethan.

(1) Since the number of chairs can't be negative. So,

x\geq0 and y\geq 0 are the two constraints.

(2) He can work a maximum of 24 hours.

The time required to make 1 rocker chair and 1 swivels chair are 3 hr and 2 hr respectively.

So, the time required to make x rocker chair = 3x hr

and the time required to make y swivel chair = 2y hr.

The total time required is  3x + 2y hr which can't be more than the available time, 24 hr.

So, the required constraint is

[tex]3x + 2y\leq 24[/tex]

(3) Similarly,

As 1 rocker chair requires 2 oz strain and 1 swivel chair required 8 ox strain.

So, to make x rocker chair 2x oz required and make y swivel chair 8y oz required which can't be more than the available oz, 56.

So, the required constraint is

[tex]2x + 8y\leq 56[/tex]

[tex]\Rightarrow x+4y\leq 28.[/tex]


Related Questions

Han made some hot chocolate by mixing 4 cups of milk with 6 tablespoons of cocoa

Answers

tfff am I supposed to do about this

Alright then! First question!
A graph has height (inches) on the x-axis and arm span (inches) on the y-axis. Points are at (30, 27), (45, 45), (53, 50), (60, 60), (67, 70), and (73, 72).

Identify if there is a relationship between the variables.
(A) No, there is no relationship because the points are all up and down.
(B) Yes, the relationship displayed shows arm span increasing as height increases.
(C) Yes, the relationship displayed shows arm span decreasing as height increases.

Answers

Answer:

hmmm...i wanna go with B

Step-by-step explanation:

because it goes from 30 to 45 and 45 and 45 to 53 to 50 then the 50 goes 60 meaning their both increasing as it it goes on

at least i believe im right haha hope this helped if its not to  late

Answer: The answer is (B) Yes, the relationship displayed shows arm span increasing as height increases.

Step-by-step explanation: I got the answer correct hope this helps!

Can you please answer this my homework is due ✨

Answers

2:1100
3:1650
6:3300
It is all multiplying with the number 550

Using these clues, make a quadilateral. Write the name and each side. What is the perimeter?
1. rectangle with sides 7 feet
2. 7feet
3. 10 feet
4. 10feet

Answers

The name of my shape is a parallelogram. The sides are:

7 feet7 feet10 feet10 feet

The perimeter is 34 feet because:

Step 1: Add smaller groups.

10 + 10 = 20

7 + 7 = 14.

Step 2: Add the two numbers.

14 + 20 = 34.

Hope this answer helps you!

PLEASE HELP!!! IF YOU GIT IT RIGHT I WILL GIVE YOU 90 BRANLY POINTS !!! Which of the following equations is not a proportion? 14/7 = 7/3.5, 1.5/3 = 3/9, 22/33 = 4/6, 2/3 = 142/213

Answers

Answer:

1.5/3=3/9

Step-by-step explanation:

1.5/3=1/2  when 3/9=1/3

I hope this helps :)

Answer:

1.5/3 = 3/9 is not a proportion

Step-by-step explanation:

1.5/3 = 3/9

1.5 divide by 3 is 1/2 but 3 divide by 9 is 1/3 which makes it  not proportional

What is the range of the following graph?

Answers

Answer: 6

Step-by-step explanation: 8 - 2 = (6) Range is the difference between the highest and lowest number just for future references. Hope this helped! :)

Answer: i think is 8 also that person already explain

Step-by-step explanation: have a nice day

Solving each proportions 10/8=n/10

Answers

Answer:

n=12.5

Step-by-step explanation:

10/8=n/10

multiply the denominator and numerators 10 ad 10=100 divide by 8=12.5

what are all the fractions that are equivalent to 1/7​

Answers

2/14, 3/21, 4/28. just multiply 1 and 7 by the same number to come up with an equivalent fraction

Answer:

Some include: 3/21, 4/28, 5/35.

Step-by-step explanation:

You multiply the bottom by a number and then you multilpy the top by that same number!

1/7=3/21

1 times 3=3

7 times 3=21

A scientist studied bacteria.
She placed 4 bacteria in a dish.
The population of bacteria triples every 12 hours
Which equation can be used to determine the number of bacteria, y, present after x days?
O y = 4(3)x
O y=4(6)x
O y = 4(3) 2x
O y = 4(6) 2x

Answers

Answer:

the answer to the question is A

An equation is formed of two equal expressions. The equation can be used to determine the number of bacteria, y, present after x days is y = 4(3)²ˣ.

What is an equation?

An equation is formed when two equal expressions are equated together with the help of an equal sign '='.

Scientists placed 4 bacteria in a dish. The population of bacteria triples every 12 hours. Therefore, the equation that can be used to determine the number of bacteria, y, present after x days are:

y = 4(3)²ˣ

Hence, The equation can be used to determine the number of bacteria, y, present after x days is y = 4(3)²ˣ.

Learn more about Equation:

https://brainly.com/question/2263981

#SPJ2

suppose that there were a positive correlation between the variables u and v. if v is 24 when u is 10, which of these is most likely to be the value of v when u is 20?

Answers

Answer: 48

Step-by-step explanation: I got it wrong and it said the correct answer was 48

Pls Help me. I will mark brainlist.

Answers

Answer:

The second answer

Step-by-step explanation:

Because if you subtract a negative from an equation you get positive (two negatives make a positive)

I really need help..

Thanks!​

Answers

$54 morning $60.75 afternoon. So $114.75 all together. Rounded to $100

Simplify 9 to the 2nd power\ 9 to the 7th power

Answers

Answer:

9^2/9^7 = 9^-5

Step-by-step explanation:

A carpenter has less than 120 minutes to spend painting furniture each day. Today, he has spent 30.5 minutes painting a desk. Now he will paint x chairs, each of which takes 12.5 minutes. What is the maximum number of chairs the carpenter can paint?

Answers

Answer:

Maximum number of chairs is 7.

Step-by-step explanation:

We are told he has less than 120 minutes to spend painting furniture each day.

Now he has spent 30.5 minutes painting a desk.

Also, he wants to paint "x" number of chairs with each chair taking 12.5 minutes.

Thus, we have;

30.5 + 12.5x < 120

Subtract 30.5 from both sides to get;

12.5x < 120 - 30.5

12.5x < 89.5

x < 89.5/12.5

x < 7.16

Thus, maximum number of chairs he can paint is 7

Draw diagonals ACand BDon rectangle ABCD. Measure and record the lengths of the diagonals.

Answers

Answer:

Diagonal   Length

AC               7.21

BD              7.21  

Step-by-step explanation:

Answer:

Diagonal  |  Length

AC            |  7.21

BD            |  7.21

Step-by-step explanation:

-edmentum

The distance light travels in one year is known as a light year. A light year is equal to 5.87 × 1012 miles. The closest that Earth ever gets to Jupiter is 3.65 × 108 miles. What is a correct representation of the number of years it will take light to travel from Earth to Jupiter at this distance? Check all that apply.

Answers

Answer:

[tex]6.21\times 10^{-5}\ \text{light years}[/tex]

Step-by-step explanation:

The distance light travels in one year is known as a light year.

[tex]1\ \text{light year}=5.87\times 10^{12}\ \text{miles}[/tex]

The closest that Earth ever gets to Jupiter is [tex]3.65\times 10^8\ \text{miles}[/tex]

[tex]3.65\times 10^8\ \text{miles}=\dfrac{1}{5.87\times 10^{12}}\times 3.65\times 10^8\ \text{light years}\\\\=6.21\times 10^{-5}\ \text{light years}[/tex]

Hence, the distance it will take light to travel from Earth to Jupiter at this distance is [tex]6.21\times 10^{-5}\ \text{light years}[/tex]

Divide n by 5 then add 6

Answers

Answer:

n+30/5

Step-by-step explanation:

Simplify n/5

n/5+6

Rewrite the whole as an equivalent fraction

2.1 Add an integer to a fraction

Rewrite the whole as a fraction using 5 as the denominator: 6= 6/1=6×5/5

Equivalent fraction: the fraction thus generated looks different but has the same value as everything.

2.2 sum of the two equivalent fractions add two equivalent fractions that now have a common denominator

Combine the numerators, place the sum or difference over the common denominator, and then reduce to the lowest terms of possible:

n+6×5/5=n+30/5

How can you graphically tell if a quadratic equation will have a complex solution?

Answers

Answer:

If it does not cross the x axis.

Step-by-step explanation:

If the quadratic equation does not cross the x axis (or more specifically, if the quadratic is an upward opening parabola and the vertex is above the x axis, or if the quadratic is a downward opening parabola and the vertex is below the x axis), it will have no real solution

The fundamental theorem of algebra says that quadratics must have 2 solutions, so the solutions must be imaginary.

if the equation doesn’t cross the X-axis

Evaluate the following expression when x = -1, y = 2, z = -3, and
w = 4.
x² - y²

Answers

Answer:

-3

Step-by-step explanation:

-1*-1=1

2*2=4

1-4

=-3

Brad sells each cup of lemonade for $0.50 he wrote.

Answers

Answer:

What are we supposed to solve??? its incomplete

Step-by-step explanation:

The surface temperature ranges from -2°C to 31°C. Find the difference between the max and min temperatures.

Answers

Answer:

33

Step-by-step explanation:

Answer:

29c

Step-by-step explanation:

Given m//n, find the value of x

Answers

Answer:

117 is the value of you Question

Step-by-step explanation:

It cost Samantha $4.23 to send 47 text messages. How much does each text cost to send?

Answers

Answer:

456

Step-by-step explanation:

Answer:

i think its 0.09

Step-by-step explanation:

Flavia needs to build a fence around her dog house, as illustrated on the coordinate grid below. If each unit represents 1 foot, what is the total length of Flavia’s fence in feet?

Answers

Answer:

I would say your answer is (D

how do i graph 2x+4y=12

Answers

Answer:

(0,3) (6,0)

Step-by-step explanation:

This year, there were 25% fewer sunny days than last year. That’s my question.

Answers

If there were 25% fewer sunny days this year than last year, then there were 25% more sunny days last year than this year and the number of sunny days in the coming year is unknown.

someone please help! I’ll give brainliest!!

Answers

The images are similar. The scale factor is 3/4, but may also be 4/3 depending on which image is the original one. I would go with 3/4.

Anand needs to hire a plumber. He's considering a plumber that charges an initial fee of \$65$65dollar sign, 65 along with an hourly rate of \$28$28dollar sign, 28. The plumber only charges for a whole number of hours. Anand would like to spend no more than \$250$250dollar sign, 250, and he wonders how many hours of work he can afford. Let HHH represent the whole number of hours that the plumber works.

Answers

Answer:

Anand can afford is 6hours

Step-by-step explanation:

 Let H represent the whole number of hours that the plumber works.

given that the fixed cost is $65

and the hourly cost is $28

also given that Anand has a total of $250 with him

the total cost can be expressed in terms of the number of hours H as

250=65+28H

we can now solve for H

250-65=28H

185=28H

divide both sides by 28

H=185/28

H=6.60714285714

"The plumber only charges for a whole number of hours."

So the number of hours Anand can afford is 6hours

Answer:

Anand can afford is 6hours

Step-by-step explanation:

Let H represent the whole number of hours that the plumber works.

given that the fixed cost is $65

and the hourly cost is $28

also given that Anand has a total of $250 with him

the total cost can be expressed in terms of the number of hours H as

250=65+28H

we can now solve for H

250-65=28H

185=28H

divide both sides by 28

H=185/28

H=6.60714285714

"The plumber only charges for a whole number of hours."

So the number of hours Anand can afford is 6hours

Before i thought the dividing functions​

Answers

What is the question??

a printer can print 12 pages in 9 seconds what is the closest estimate of the number of pages it can print in 1 min

Answers

Answer:

estimated number of pages it can print will 80 in 1 min.

Step-by-step explanation:

If 12 pages/9 Seconds then by multiplying by 60 secs as there are 60 secs in 1 min.

we get

12/9 then multiply by 60 you will get 80 pages in 1 minute.

Number of pages a printer can print in 9 seconds = 12 pages

Number of pages than can be printed in 1 second =

= 12/9

= 1.3 pages

Number of pages that can be printed in 1 second = 0.75 page

Number of pages that can be printed in 1 minute =

= 1 minute = 60 seconds

Number of pages that can be printed in 60 seconds =

= 1.3 × 60

= 78 pages

Rounding off 78 , we get 80 .

Therefore , 80 pages can be printed in 1 minute .

Other Questions
Identify and describe 6 different camera angles One airplane is approaching an airport from the north at 181 kn/hr. A second airplane approaches from the east at 278 km/hr. Find the rate at which the distance between the planes changes when the southbound plane is 30 km away from the airport and the westbound plane is 15 km from airport. 1 Sustainability means: A. Meeting present needs without compromising needs of future generations B. Meeting present needs without the concern for future generations C. Ignoring the needs of current generations to help future generations D. Sustaining fish at a certain depth in the ocean 15 (1 Point) When using the Involver Style to solveconflict during a discussion with anotherperson, which one of the following elementsmust you pay the most attention to ?Winning Tone of voiceForcing your viewpointSmiling Write the ratio 12 dollars for 3 tickets as a unit rate What is the Kc equilibrium-constant expression for the following equilibrium? S8(s) + 24F2(g) 8SF6(g) Identify three examples of secondary sources Write a 2 stanza poem that explores the joy of seeing something beautiful. Write it with the rhyme scheme ababcc ababcc Ty :3 Where were the Tobacco Colonies located? what is 10x plus 50 - 2 divided by 6 + 100 times 8 - -2. Which BEST analyzes line 2?A)Lane's words suggest that he is disinterested in his employer in generaland disinterested in music in particular.B)It is likely that Lane actually heard the music, but either did not like it orwished to show humble respect to his employer.EliminateLanes' words are simply a careless reply that he makes while he focuses onhis important tasks, so as not to anger the hot-temperedolgernon.It is likely that Lane is trying to keep from praising Algernon for hismusical talents that are clearly superior to any Lane has experiencedbefore,D)Submit If an object is moving with constant acceleration, its velocity must achange by varying amounts depending on its speed. balways decrease. cbe constant also. dchange by the same amount each second. which expression is equivalent to 0.17w + 0.77 + w? -0.77 + 1.17w -0.17w + 1.77 -1.94w -1.6w Nutritional Foods reports merchandise inventory at the lower-of-cost-or-market. Prior to releasing its financial statements for the year ended August 31, 2019, Nutritional's preliminary income statement, before the year-end adjustments, appears as follows: NUTRITIONAL FOODSIncome Statement (Partial)Year Ended March 31, 2017Sales Revenue ........ $117,000Cost of Goods Sold ..... 45,000Gross Profit ........ $72,000Nutritional has determined that the current replacement cost of ending merchandise inventory is $17,000. Cost is $19,000. Required: a. Journalize the adjusting entry for merchandise inventory, if any is required. b. Prepare a revised partial income statement to show how Nutritional Foods should report sales, cost of goods sold, and gross profit. Which of the following words best describes President Jacksons feelings toward American Indians? A. materialistic B. sympathetic C. paternalistic D. apathetic Please select the best answer from the choices provided A B C D pair that describes (1) When I was little, Grandma always played with me. (2) She taught me how to dance, and she made beautiful clothes for my dolls. (3) She was my special friend, but I had no idea just how special until I was in ninth grade.(4) Since my family did not have much money, I knew I would never be able to buy a great dress for the school dance. (5) That did not stop me from dreaming, however. (6) Many nights, after I had finished my homework, I would sketch the "perfect" dress. (7) I kept all the sketches on my bedside table. (8) I guess I figured that was a good place to store impossible dreams.(9) One Monday, Mom and Grandma agreed that we should start shopping for my dress. (10) I dreaded shopping for it; I knew I would face a big disappointment when I found nothing close to my "perfect" dress. (11) Nevertheless, we decided that we would shop for my dress on Saturday.(12) That Friday night at dinner, Grandma seemed unusually cheerful as she asked, Whats cooking, Natalie? (13) When I replied, Not much, she sang out, like a happy little bird, Oh, Natalie! I have a surprise, and reached under the table to pull out a huge, flat box. (14) When I opened it, I gasped and burst into tears. (15) Grandma had made my perfect dress! (16) When I looked over, I saw that she was crying, too. (17) "I'm sorry," she said, now laughing. (18) "I was so worried it wouldn't be what you hoped for," she said. (19) "I love it," I said and gave her a hug.Which of these best describes the main conflict that Natalie faces? A. an internal conflict: her decision about whether to go to the dance B. an internal conflict: her feelings about her grandmother's gift C. an external conflict: her struggle to design a perfect dress for the dance D. an external conflict: her inability to obtain a perfect dress for the danceIn sentence 12, Grandma uses the expression, "What's cooking?" How does her use of this expression help characterize her? A. It hints at the gift she is about to give Natalie. B. It suggests that she does not respect Natalie. C. It shows that she is cheerful and informal. D. It suggests that she is helpful and full of ideas.Which statement best describes Grandma as the author presents her? A. She is practical and quite stern. B. She is helpful and generous. C. She is funny and full of jokes. D. She is thrifty and a bit argumentative.Which statement best expresses the main theme of this passage? A. Social events are very important. B. Many people care too much about their appearance. C. It is very hard to do without material goods. D. Love can help make dreams come true.The following question has two parts. Answer Part A first, and then Part B.Part AGiven the details in the passage and your own knowledge of human behavior, what inference can you make about why Grandma made Natalie's "perfect" dress? A. Grandma wanted to make Natalie's dream come true. B. Grandma always loved to make doll clothes for Natalie. C. Grandma did not want to buy Natalie a beautiful dress. D. Grandma was bored and wanted an interesting project.Part BWhat details from the passage help support the answer to Part A? A. She taught me how to dance, and she made beautiful clothes for my dolls. B. . . . after I had finished my homework, I would sketch the "perfect" dress. C. Nevertheless, we decided that we would shop for my dress on Saturday. D. "I was so worried it wouldn't be what you hoped for," she said.Please Help what events led to the stock market crash? ___Rebellion did not succeed in removing white settlers from the trans-Appalachian region.1. Conestogas's2. Pontiac's3. Paxton's4. Liberty's5. Greenville's Tanner is cutting a 23-inch board into 2.25-inch sections. How many whole sections will he end up with?11121013