An online furniture store sells chairs for $200 each and tables for $600 each. Every
day, the store can ship a maximum of 32 pieces of furniture and must sell no less than
$12000 worth of chairs and tables. If 13 chairs were sold, determine the minimum
number of tables that the the store must sell in order to meet the requirements. If
there are no possible solutions, submit an empty answer.

Answers

Answer 1

Answer:

Step-by-step explanation:

Answer:

If the minimum 13 chair were sold , then the minimum number of Table sold is 14

Step-by-step explanation:

Given as :

The cost of each chair = $ 200

The cost of each table = $ 600

The total number of furniture sold per day = 32

The minimum amount of selling per day = $ 12000

Let the total number of chair = C

The total number of table = T

So , according to question

C + T = 32         .......1

200 C + 600 T = 12000         .......2

Solving eq 1 and 2

200 C + 600 T = 12000

200 × ( C + T ) = 32 × 200

I.e 200 C + 200 T = 6400

or, ( 200 C + 600 T ) - ( 200 C + 200 T ) = 12,000 - 6400

Or, 400 T =  5600

∴  T =

I.e T = 14

Put The value of T in eq 2

So, 200 C + 600 × 14 = 12000

or , 200 C + 8400 = 12,000

Or, 200 C = 12000 - 8400

Or, 200 C = 3600

∴   C =

I.e C = 18

The number of chair sold is 18

If the number of chair sold is 13 ,

Then the min number of table sold = 200 × 18 + 600 T = 12000

i.e 600 T = 12000 - 3600

or, 600 T = 8400

∴   T =

I.e T = 14

Hence if the minimum 13 chair were sold , then the minimum number of Table sold is 14 . Answer


Related Questions

The sum of two numbers is 40 and their difference is 20. Find the two numbers.

Answers

Answer:

20

Step-by-step explanation:

if you add 20 to 20 you get a sum of 40

if you subtract 20 from 40 you get a difference of 40

Answer:

30 & 10

Step-by-step explanation:

Let be two numbers be A and B

A+B=40

A−B=20

Add two equations

We get

A+B+A−B=40+20

2A=60

A=30

as we know A put  this in one of the equation

30+B=40

B=10

A=30 and B=10

Pls help me pls pls pls I’ll make brainliest

Answers

Answer:

Alr what do you need help with

Which of the following statements is true for a point in the first quadrant of the coordinate plane?

Answers

Answer:

The point will have both a positive x value and a positive y value.

Step-by-step explanation:

Since the question leads me to believe this is multiple choice but there are no choices provided, I will do my best to guess what it is wanting.

write the ratio in simplest form 15:45​

Answers

It would be 1:3 because you would find the GCF(greatest common factor) of 15 and 45 which is 15 and 15 divided by 15 is 1 and 45 divided by 15 is 3

EASY TRUE OR FALSE QUESTION

Answers

Answer:

Its false

Step-by-step explanation:

It cant increase

Answer:

it issss false

9(1 + w) – 5w = 5
W=

Answers

Answer:

w= -1

Step-by-step explanation:

Use PEMDAS to solve.

9(1 + w) - 5w = 5

distribute 9 to everything inside the parentheses.

9 x 1 = 9

9 x w = 9w

rewrite equation

9 + 9w - 5w = 5

combine like terms

9w - 5w = 4w

rewrite equation

9 + 4w = 5

subtract 9 from both sides

9 - 9 = 0

5 - 9 = -4

rewrite equation

4w = -4

divide by 4 on both sides to get w by itself.

4w / 4 = w

-4 / 4 = -1

Hope This Helps :)

What is -3(2x + 1) ?
- 6x - 3
- 6x + 3
- 6x - 6

Answers

it is -6x -3. You do this by multiplying three term -3x into the parentheses. You then calculate.

you have 40 oz of egg noodles. you need 5 oz to make one serving of chicken noodles soup. How many servings can you make?

Answers

Answer:

8

Step-by-step explanation:

Answer:

You can make 8 severvings. Makes me hungry rn

Step-by-step explanation:

40 divided by 5 gives the answer

Intr-o clasa sunt 28 de elevi.Stiind ca 21 joaca fotbal si 15 elevi handbal,sa se determine cati elevi joaca si fotbal si handbal.

Answers

..... hmmmmm umbilical

What is the equation of a vertical line that passes through the point (8, -1)?

Answers

Answer:

x=8

Step-by-step explanation:

what is 303 x 303 x 23 x 456 - 797

Answers

Answer:

962891995

Step-by-step explanation:

Answer:

962,892,713

Step-by-step explanation:

1. 303 x 303 x 23 x 456 - 7

2. 91809 x 23 x 456 -79

3. 2111607 x 456 - 79

4. 962892792 - 79

5. 962,892,713

Hope that helps

An experiment consists of first rolling a die and then tossing a coin. (a) List the sample space. {(3, H), (4, H)} {(1, T), (2, T), (3, T), (4, T), (5, T), (6, T)} {(1, H), (1, T), (2, H), (2, T), (3, H), (3, T), (4, H), (4, T), (5, H), (5, T), (6, H), (6, T)} {(3, H), (3, T), (4, H), (4, T)} {(1, H), (2, H), (3, H), (4, H), (5, H), (6, H)} (b) Let A be the event that either a three or a four is rolled first, followed by landing a head on the coin toss. Find P(A). (Enter your probability as a fraction.)

Answers

Answer:

(a)

[tex]S = \{(1,H),(2,H),(3,H),(4,H),(5,H),(6,H),(1,T),(2,T),(3,T),(4,T),(5,T),(6,T)\}[/tex]

(b)

[tex]P(A) = \frac{1}{6}[/tex]

Step-by-step explanation:

Given

The above sample space

A = Event of an occurrence of 3 or 4 then a head

(a): List out the sample space:

The rolls of the dice come first, followed by the toss of the coin.

So, the sample space are:

[tex]S = \{(1,H),(2,H),(3,H),(4,H),(5,H),(6,H),(1,T),(2,T),(3,T),(4,T),(5,T),(6,T)\}[/tex]

The number of the sample space is:

[tex]n(S) = 12[/tex]

(b): Find P(A)

First, we list out the outcomes of event A

[tex]A = \{(3,H),(4,H)\}[/tex]

The number of outcome is:

[tex]n(A) = 2[/tex]

The probability of A is then calculated as:

[tex]P(A) = \frac{n(A)}{n(S)}[/tex]

[tex]P(A) = \frac{2}{12}[/tex]

Simplify fraction

[tex]P(A) = \frac{1}{6}[/tex]

PLEASE
HELLPOP ITS EASY

Answers

Scale factor is 4
20/5=4
5*4=20

A pound of coffee beans yields 50 cups of coffee. How many mL of coffee can be obtained from 10.0 g of coffee beans? (1 lb =454 g, 1 L= 1.0567 qt, 4 cups=1 qt, 1 L=1000 mL)

Answers

Answer:

260.55682 mL

Step-by-step explanation:

Given :

(1 lb =454 g, 1 L= 1.0567 qt, 4 cups=1 qt, 1 L=1000 mL)

1 pounds of coffee beans = 50 cups of coffee

Number of mL of coffee that can be obtainwd from 10 g of coffee beans

1 pound = 454g

10 * 50 cups = 500 cups / 454 = 1.1013215 cups

1.1013215 / 4 = 0.2753303 qt

0.2753303 qt / 1.0567 qt = 0.2605568 L

0.2605568 L * 1000 = 260.55682 mL

What is -120 4/7 + 25 3/7

Answers

Answer:

420^69

Step-by-step explanation:

Blazen it

Answer:

-95.1428571429

Step-by-step explanation:

evaluate 4g-12 when g= 5

Answers

4(5) or 4x5=20

20-12=8 so the answer is 8

Find (7x−11)−(−12x−3).

Answers

Answer:

=19x−8 is your answer

Step-by-step explanation:

=7x−11+−1(−12x−3)

=7x+−11+−1(−12x)+(−1)(−3)

=7x+−11+12x+3

Combine Like Terms:

=7x+−11+12x+3

=(7x+12x)+(−11+3)

=19x+−8

Answer:

19x-8

Step-by-step explanation:

7x plus -12x is 19x. you then subtract 11 from 3 and you get 8

find sin θ and cos θ if tan θ= 1/4 and sin 0>0.

Answers

Answer:

[tex]\displaystyle \sin(\theta)= \frac{\sqrt{17}}{17}[/tex]

[tex]\displaystyle \cos(\theta)= \frac{4 \sqrt {17} }{ 17 }[/tex]

Step-by-step explanation:

We want to find sin(θ) and cos(θ) given that tan(θ) = 1/4 and sin(θ) > 0.

First, since tan(θ) and sin(θ) are both positive, cos(θ) must be positive as well.

Recall that tangent is the ratio of the opposite side to the adjacent side.

Therefore, the hypotenuse is:

[tex]h=\sqrt{4^2+1^2}=\sqrt{16+1}=\sqrt{17}[/tex]

So, with respect to θ, the opposite side is 1, the adjacent is 4, and the hypotenuse is √17.

Then it follows that:

[tex]\displaystyle \sin(\theta)=\frac{1}{\sqrt{17}} = \frac{\sqrt{17}}{17}[/tex]

And that:

[tex]\displaystyle \cos(\theta)= \frac{4}{\sqrt{17}} = \frac{4 \sqrt {17} }{ 17 }[/tex]

Find the measure of angle 1

A. 90
B. 110
C. 180

Answers

Answer:

90°

Step-by-step explanation:

Choose the angle that is supplementary to angle 2. (it's not angle 3 btw)​

Answers

Answer:

Angle 1

Step-by-step explanation:

Supplementary = Two angles that has a sum of 180 degrees

Angle 1 + Angle 2 = 180 degrees

What are Dwarf planets in the kuiper belt called?

Answers

Answer:

pluto, rhea, theres more but theres a lot but we call them planetoids

Step-by-step explanation:

Answe:

Haumea, Pluto, and Makemake

Step-by-step explanation:

i think

True or False: Similar figures have corresponding sides that are congruent.

Answers

Answer:

True

Step-by-step explanation:

You are given the sample mean and the population standard deviation. Use this information to construct the​ 90% and​ 95% confidence intervals for the population mean. Interpret the results and compare the widths of the confidence intervals. From a random sample of 40 business​ days, the mean closing price of a certain stock was ​$108.50 . Assume the population standard deviation is​$11.36 . The​ 90% confidence interval is ​(nothing ​,nothing ​).​(Round to two decimal places as​ needed.) The​ 95% confidence interval is ​(nothing ​,nothing ​). ​(Round to two decimal places as​ needed.) Which interval is​ wider? Choose the correct answer below. The​ 95% confidence interval The​ 90% confidence interval Interpret the results. A. You can be​ 90% confident that the population mean price of the stock is outside the bounds of the​90% confidence​ interval, and​ 95% confident for the​ 95% interval. B. You can be certain that the population mean price of the stock is either between the lower bounds of the​ 90% and​ 95% confidence intervals or the upper bounds of the​ 90% and​ 95% confidence intervals. C. You can be​ 90% confident that the population mean price of the stock is between the bounds of the​ 90% confidence​interval, and​ 95% confident for the​ 95% interval. D. You can be certain that the closing price of the stock was within the​ 90% confidence interval for approximately 36 of the 40 ​days, and was within the​ 95% confidence interval for approximately 38 of the 40 days.

Answers

Answer:

The​ 90% confidence interval is ($105.55,$111.45)

The 95% confidence interval is ($104.98,$112.02)

The 95% confidence interval is wider.

C. You can be​ 90% confident that the population mean price of the stock is between the bounds of the​ 90% confidence​interval, and​ 95% confident for the​ 95% interval.

Step-by-step explanation:

90% confidence interval:

We have that to find our [tex]\alpha[/tex] level, that is the subtraction of 1 by the confidence interval divided by 2. So:

[tex]\alpha = \frac{1 - 0.9}{2} = 0.05[/tex]

Now, we have to find z in the Ztable as such z has a pvalue of [tex]1 - \alpha[/tex].

That is z with a pvalue of [tex]1 - 0.05 = 0.95[/tex], so Z = 1.645.

Now, find the margin of error M as such

[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]

In which [tex]\sigma[/tex] is the standard deviation of the population and n is the size of the sample.

[tex]M = 1.645\frac{11.36}{\sqrt{40}} = 2.95[/tex]

The lower end of the interval is the sample mean subtracted by M. So it is 108.50 - 2.95 = $105.55

The upper end of the interval is the sample mean added to M. So it is 108.50 + 2.95 = $111.45

The​ 90% confidence interval is ($105.55,$111.45)

95% confidence interval:

We have that to find our [tex]\alpha[/tex] level, that is the subtraction of 1 by the confidence interval divided by 2. So:

[tex]\alpha = \frac{1 - 0.95}{2} = 0.025[/tex]

Now, we have to find z in the Ztable as such z has a pvalue of [tex]1 - \alpha[/tex].

That is z with a pvalue of [tex]1 - 0.025 = 0.975[/tex], so Z = 1.96.

Now, find the margin of error M as such

[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]

In which [tex]\sigma[/tex] is the standard deviation of the population and n is the size of the sample.

[tex]M = 1.96\frac{11.36}{\sqrt{40}} = 3.52[/tex]

The lower end of the interval is the sample mean subtracted by M. So it is 108.50 - 3.52 = $104.98

The upper end of the interval is the sample mean added to M. So it is 108.50 + 3.52 = $112.02

The 95% confidence interval is ($104.98,$112.02)

Which interval is​ wider?

The 95% confidence interval has a larger margin of error, so it is wider.

x% confidence interval:

A confidence interval is built from a sample, has bounds a and b, and has a confidence level of x%. It means that we are x% confident that the population mean is between a and b.

So the correct interpretation is:

C. You can be​ 90% confident that the population mean price of the stock is between the bounds of the​ 90% confidence​interval, and​ 95% confident for the​ 95% interval.

please help!!
(3x-4)(x+2)

Answers

Answer:

3x^2+2x-8 is the answer

What’s 34 divided 475 remainder:

Answers

Answer:

it is 0.07157894737 I am sure

• Yogi is planning a concert for his animal friends. He arranges his chairs and if he makes 8 rows he was
3 chairs short. If he has 6 rows he has 17 chairs left over. How many chairs does Yogi have?

Answers

Answer: Yogi has 59 chairs.

Step-by-step explanation: For the question, it's a lot of guess an check. 10 is a good place to start. Times 10 by 8 and add 3. Then times 6 by 10 and add 17. Does it equal the same number? No. Is it close? Yes. So maybe try going up a few numbers or down a few. You'll eventually get 7 which when you multiple 7 by 8 and add 3 and multiple 6 by 10 and add 17, you'll get 59.

Help me pls I don't understand ​

Answers

Hope it will help you

Which statement best describe jamies proof

Answers

he made his first mistake in step 5. He used the statement he was trying to prove as a reason.
hope that helps
I don’t understand this it makes no sense

Name the marked angle in 2 different ways

Answers

Answer:

Obtuse angle

Step-by-step explanation:

Answer:

Its an obtuse angle pliz mark brainliest

a) Expand and simplify (4x + 3)(2x - 5)

Answers

Answer:

8x² - 14x - 15

Step-by-step explanation:

(4x + 3)(2x - 5)

8x² - 20x + 6x - 15

8x² - 14x - 15

Answer:

Step-by-step explanation:

Use FOIL, first outside inside last.

4x*2x - 5*4x + 3*2x - 3*5

[tex]8x^2-20x+6x-15\\8x^2-14x-15\\[/tex]

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