1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
sineoko [7]
3 years ago
10

A furniture company manufactures desks and chairs. Each desk uses four units of wood, and each chair uses three units of wood. A

desk contributes $400 to profit, and a chair contributes $250. Marketing restrictions require that the number of chairs produced be at least twice the number of desks produced. There are 2000 units of wood available.
1. High level model is setup for you to plug in and solve.
2. If you want to practice creating the model, you don't need to use the model setup in the second tab.
3. Use Solver to maximize the company’s profit. Make sure to name the cells properly to get full credit.
4. Use $ format for cells like cost, profit etc. Fill the information for objective function & constraints.
Mathematics
1 answer:
Troyanec [42]3 years ago
5 0

Step-by-step explanation:

Although I cannot find any model or solver, we can proceed to model the optimization problem from the information given.

the problem is to maximize profit.

let desk be x

and chairs be y

400x+250y=P (maximize)

4x+3y<2000   (constraints)

according to restrictions y=2x

let us substitute y=2x in the constraints we have

4x+3(2x)<2000

4x+6x<2000

10x<2000

x<200

so with restriction, if the desk is 200 then chairs should be at least 2 times the desk

y=2x

y=200*2

y=400

we now have to substitute x=200 and y=400 in the expression for profit maximization we have

400x+250y=P (maximize)

80000+100000=P

180000=P

P=$180,000

the profit is $180,000

You might be interested in
An insurance company has 25,000 automobile policy holders. If the yearly claim of a policy holder is a random variable with mean
telo118 [61]

Answer:

P(T>8300000)=1-P(T

Step-by-step explanation:

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".  

The central limit theorem states that "if we have a population with mean μ and standard deviation σ and take sufficiently large random samples from the population with replacement, then the distribution of the sample means will be approximately normally distributed. This will hold true regardless of whether the source population is normal or skewed, provided the sample size is sufficiently large".

The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".  

Data given

n = 25000 represent the automobile policy holders

\mu= 320 represent the population mean

\sigma =540 represent the population standard deviation

Let T the variable that represent the total of interest on this case. We can assume that the random variable for an individual policy holder is given by:

X\sim N(\mu = 540, \sigma=540)

From the central limit theorem we know that the distribution for the sample mean \bar X is given by:

\bar X \sim N(\mu, \frac{\sigma}{\sqrt{n}})

Solution to the problem

First we need to find the distribution for the random variable T like this:

\bar X = \frac{\sum_{i=1}^n x_i}{n}

And the total T is given by:

T=\sum_{i=1}^n X_i =n \bar X

We can find the expected value, variance and deviation for this random variable like this:

E(T)= n E(\bar X) = n \mu = 25000*320=8000000

Var(T)= Var(n\bar X)= n^2 Var(\bar X) = n^2 \frac{\sigma^2}{n}=n \sigma^2 =25000*(540^2)=7290000000

Sd(T)=\sqrt{7290000000}=85381.497

And we are interested on this probability:

P(T>8300000)

And we can use the Z score formula given by:

Z=\frac{T-E(T)}{\sigma_T}

P(T>8300000)=1-P(T

6 0
3 years ago
Assume that male and female births are equally likely and that the birth of any child does not affect the probability of the gen
Aleksandr-060686 [28]

Let X be the number of boys in n selected births. Let p be the probability of getting baby boy on selected birth.

Here n=10. Also the male and female births are equally likely it means chance of baby boy or girl is 1/2

P(Boy) = P(girl) =0.5

p =0.5

From given information we have n =10 fixed number of trials, p is probability of success which is constant for each trial . And each trial is independent of each other.

So X follows Binomial distribution with n=10 and p=0.5

The probability function of Binomial distribution for k number of success, x=k is given as

P(X=k) = (10Ck) 0.5^{k} (1-0.5)^{10-k}

We have to find probability of getting 8 boys in n=10 births

P(X=8) = (10C8) 0.5^{8} (1-0.5)^{10-8}

= 45 * 0.0039 * 0.25

P(X = 8) = 0.0438

The probability of getting exactly 8 boys in selected 10 births is 0.044

8 0
3 years ago
Which simplified expression matches the perimeter of the shape?
ololo11 [35]
2 (4+5) + 2 (2 + 3)
hope it helps
3 0
2 years ago
A $30 sweater is having a 20% discount. What should be the price of the sweater after the discount?
Softa [21]

Answer:

$24

Step-by-step explanation:

$24

30 x .80 equals 24

Hope this helps!

Plz, Mark Brainliest!

4 0
3 years ago
PLEASE HELP!!! 15 PTS FOR THIS!! (Please show work also) Convert y=3x-14 (slope intercept form) to standard form
IgorC [24]

Answer:

3x-y=14

Step-by-step explanation:

To convert an equation into standard form, we want to get into the form ax + by = c.

If we have y=3x-14, our first step is to get the x term on the left side. We can do this by subtracting 3x from both sides.

-3x + y = -14

I find it easier now to just divide both sides by -1, so that we have a more consistent equation.

3x - y = 14

Hope this helped!

7 0
3 years ago
Other questions:
  • 35 year old female. 5’8', 220 pounds. Calculate Adjusted Body Weight. (Round to the nearest tenth if applicable): ________
    7·1 answer
  • Use compatible numbers to find two estimates 73÷4,858
    12·1 answer
  • -27+9-3+1 using sigma notation
    14·1 answer
  • What is 12.345 rounded to the nearest tenth
    11·2 answers
  • Two buses leave seattle at the same time and travel in opposite directions. one bus averages 55 mi/h and the other bus averages
    8·1 answer
  • How much money should the company spend on marketing each month?​
    11·1 answer
  • Wing<br> Find the area of the<br> parallelogram:<br> 3 cm<br> 5 cm<br> 4.5 cm<br> A= [?] cm
    6·2 answers
  • What is 8/18 simplest form
    13·2 answers
  • Find the shaded area
    15·1 answer
  • If u can’t see it can I can post it again
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!