A.company manufactures and cells x pocket calculatoes per week. If the weekly cent and demand equations are given by: C(x) = 8,000 + 5x
P = 14 – x/4000 0≤ x ≤25,000
Find the production level that maximizes profit
Answers
To find the production level that maximizes profit for the company manufacturing x pocket calculators per week
Given cost and demand equations: C(x) = 8,000 + 5x and P = 14 - x/4000, where 0≤ x ≤25,000.
Step 1: Determine the revenue function (R(x)). Revenue is the product of the price (P) and the quantity (x) sold.
R(x) = P * x = (14 - x/4000) * x
Step 2: Simplify the revenue function.
R(x) = 14x - (x^2)/4000
Step 3: Determine the profit function (π(x)). Profit is the difference between revenue and cost.
π(x) = R(x) - C(x) = (14x - (x^2)/4000) - (8,000 + 5x)
Step 4: Simplify the profit function.
π(x) = 9x - (x^2)/4000 - 8,000
Step 5: Find the critical points of the profit function by taking the derivative with respect to x and setting it to 0.
dπ(x)/dx = 9 - (x/2000) = 0
Step 6: Solve for x.
x = 18,000
Step 7: Check if the critical point is a maximum by taking the second derivative of the profit function.
d²π(x)/dx² = -1/2000 < 0, so the critical point is a maximum.
Thus, the production level that maximizes profit is x = 18,000 pocket calculators per week.
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Related Questions
what is the answer 2+2=4-5/25
Answers
There are 40 dogs in the neighborhood. One-fifth of them are golden retrievers.
How many of the dogs are golden retrievers?
dogs
Answers
Answer:
8
Step-by-step explanation:
1/5 / 40=?
or u could do 5 divided 40 or
5*_=40
so the answer is 8
i have a painting, if it's an original it's worth 500k if it isn't it's worth 10k. the probability it's an original is 0.2. i have an option to pay 100k
Answers
Option 1 (not paying 100k) has a higher expected value of 108k, while Option 2 (paying 100k) has an expected value of 8k. Therefore, it would be more financially beneficial not to pay the 100k.
Your question is about a painting and whether it is an original or not. If it is an original, it is worth 500k, and if it is not, it is worth 10k. The probability that it is an original is 0.2. You have the option to pay 100k.
Based on the information provided, let's calculate the expected value of each option:
1. Option 1: Do not pay 100k:
- Probability of it being an original: 0.2
- Value if it's an original: 500k
- Value if it's not an original: 10k
- Expected value: (0.2 * 500k) + (0.8 * 10k) = 100k + 8k = 108k
2. Option 2: Pay 100k:
- Probability of it being an original: 0.2
- Value if it's an original: 500k - 100k (paid) = 400k
- Value if it's not an original: 10k - 100k (paid) = -90k (negative value)
- Expected value: (0.2 * 400k) + (0.8 * -90k) = 80k - 72k = 8k
Comparing the expected values, Option 1 (not paying 100k) has a higher expected value of 108k, while Option 2 (paying 100k) has an expected value of 8k. Therefore, it would be more financially beneficial not to pay the 100k.
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Someone help please quickly
3(x-2)/4 + 3(x-3)/8 = 1/2
● 1/9
● 9
● 1/3
The / are the fraction lines not divide
Answers
9514 1404 393
Answer:
x = 25/9
Step-by-step explanation:
3(x-2)/4 + 3(x-3)/8 = 1/2 . . . . given
6(x -2) +3(x -3) = 4 . . . . . . . . multiply by 8
6x -12 +3x -9 = 4 . . . . . . . . . eliminate parentheses
9x -21 = 4 . . . . . . . . . . . . . . . collect terms
9x = 25 . . . . . . . . . . . . . . . . add 21
x = 25/9 . . . . . . . . . . . . . . divide by 9
Answer:
I got =
\(2 \ \frac{7}{9} \)
Step-by-step explanation:
\( \frac{3(x - 2)}{4} + \frac{3(x - 3)}{8} = \frac{1}{2} \)
\(6x - 12 + 3x - 9 = 4 \\ 9x - 21 = 4 \\ 9x = 25 \\ x = \frac{25}{9} = 2 \ \frac{7}{9} \)
13 Y 5 Raj is the finance manager for the tea company. He produces the table below to show the different costs of running the company for the last year. Type of spend Wages Premises Materials Miscellaneous Total Amount (£) 331 560 10600 15400 10840 368400 The company owner asks Raj for more information about the proportion spent on wages. What fraction of the total amount was spent on wages last year? Raj needs the answer in its simplest form
Answers
The operational costs a business bears in order to make money are referred to as expenses.
What Is an Expense?Simply put, it is the amount of money necessary to acquire anything. "It costs money to make money," as the saying goes.Paying suppliers, paying employees' wages, leasing factories, and depreciating equipment are all common costs. The Internal Revenue Service (IRS) maintains rigorous guidelines on which expenses firms are allowed to claim as a deduction. Businesses are permitted to deduct tax-deductible expenses on their income tax returns to reduce their taxable income and hence their tax burden.The operating costs incurred by a business in order to produce revenue are referred to as expenses.As long as a business complies with IRS regulations, it is allowed to deduct certain expenses from its taxable income.Using either the cash basis or the accrual basis, accountants keep track of their spending.The two primary types of business expenses in accounting are operating expenses and non-operating expenses.Compared to the majority of other business expenses, capital expenses are treated differently by the IRS.The Complete Question is expenses.
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In a bag of 10 marbles, there are 4 blue, 3 red, 2 green, and 1 yellow. What is the probability that you draw one marble that is blue, replace it, and draw another marble that is green? Enter your answer as a fraction in lowest terms. Do not add spaces to your answer. (EX: 1/2)
Answers
Work Shown:
A = the 1st marble is blue
B = the 2nd marble is green
Replacement is applied. This makes A and B independent.
P(A) = (4 blue)/(10 total) = 4/10 = 2/5
P(B) = (2 green)/(10 total) = 2/10 = 1/5
P(A and B) = P(A)*P(B) ... see note below
P(A and B) = (2/5)*(1/5)
P(A and B) = 2/25
Note: The equation is valid because events A and B are independent.
A total of 76 students responded to a survey about transportation to school. Of the girls surveyed, 22 walk to school and 29 get a ride.
Of the 25 boys surveyed, 9 get a ride to school. Construct a two-way frequency table to display the data. Drag the numbers into the boxes. Each number may be used once, more than once, or not at all.
Answers
Here is the two-way frequency table
Girls Boys Total
Walk 22 16 38
Ride 29 9 38
Total 51 25 76
What is a two-way frequency table?A two-way frequency table is a table that is used to observe the frequency of a dataset.
Total number of girls = total number of people surveyed - total number of boys
76 - 25 = 51
Total number of boys that walk = total number of boys - number of boys that ride the bus
25 - 9 = 16
Total number of people who ride the bus = total number of girls who ride the bus + total number of boys who ride the bus
29 + 9 = 38
Total number of people who walk = total number of girls who walk + total number of boys who walk
22 + 16 = 38
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The volume of a rectangular prism is given by the product of its length, and height. Samantha has a rectangular prism that has a length of b squared units, a width of a units, and a height and ab+c units.
Answers
Answer:
V = a²b³ + acb² units³
Step-by-step explanation:
The volume of a rectangular prism is given by :
V = l×b×h
Here, l = b² units
b = aunits
h = ab+c units
So, the volume of the prism is given by :
V = b² × a × (ab+c)
= ab²(ab+c)
= a²b³ + acb²
Hence, the required volume is a²b³ + acb² units³.
can you guys please help me on this?
Answers
x= -5
Step by step:
Multiply both sides by 5
-20 = 3x - 5
Add 5 to both sides
-15 = 3x
Divide both sides by 3
-5 = x
And that’s all
Hope this helps!
George and Chin work as landscapers. George charges $90 for a 6-hour job. Chin charges $84 for the same job. The table shows their price structures. An equation representing George’s charges is written in the chart. Landscaping Cost George Chin George charges one hourly rate for the first three hours and then reduces his rate for additional hours. Chin charges the same initial rate as George for the first two hours and the same reduced rate for additional hours. 3 x 3 y = 90 What is the equation for Chin’s charges needed to solve the system and find the cost of the initial and additional hours? 4 x minus 2 y = 84 2 x minus 4 y = 90 2 x 4 y = 84 4 x 2 y = 90.
Answers
Answer:
2x + 4y = 84
Step-by-step explanation:
Did the test
f(x)=x^4-8x^2+10x+22 divied by x+3
Answers
Write an equation of the lime that passes through (3,7) and is parallel to the line shown
An equation of the parallel is y=□
Answers
Answer:
y=2x+1
Step-by-step explanation:
see graph
In Fairbanks, Alaska, the temperature on Tuesday at noon was -18℉. The temperature then decreased 1.2℉ each hour for the next 7 hours.
In Grand Forks, North Dakota, the temperature on Tuesday at 7pm was
¾ the temperature recorded in Fairbanks, Alaska at that same moment in time.
What is the temperature in Grand Forks, North Dakota?
Answers
Answer:
-19.8
Step-by-step explanation:
In Fairbanks , at noon -18
it decreased with 1.2 per hour for the next 7 hours .
so in total it decreased by 1.2 x 7 = 8.4
so at 7 pm it was -18-8.4 = -26.4
In Grand Forks at 7 pm 3/4 of -26.4 = -19.8
Question text Level and Trend in a Time Series is estimated by- Select one: a. Moving Average b. Simulation method c. Regression analysis d. Covariance analysis e. Correlation Analysis
Answers
(C) Regression analysis is the statistical method commonly used to estimate the level and trend in a time series by modeling the relationship between the data and independent variables.
Regression analysis is the statistical method used to estimate the level and trend in a time series. Time series data represents observations taken at different points in time and is commonly used to analyze trends and patterns over time.
Regression analysis allows us to model the relationship between a dependent variable (in this case, the time series data) and one or more independent variables (such as time or other relevant factors). By using regression analysis, we can identify the underlying trend in the time series and estimate its level.
The regression model captures the relationship between the dependent variable (the time series) and the independent variable(s) by fitting a line or curve that best represents the data. This line or curve helps to identify the overall trend and level of the time series.
While moving average, simulation method, covariance analysis, and correlation analysis are useful techniques in analyzing time series data, they are not specifically designed to estimate the level and trend in a time series. Therefore, (C) regression analysis is the most appropriate method for estimating the level and trend in a time series.
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Can anyone please help me with this and solve all the questions?
Answers
Answer:
1.The shape of this distribution is skewed to the right.
2.The mean is greater than the median.
3. The mean will better represent the 'typical value'
Step-by-step explanation:
The shape of this distribution is skewed to the right. This means the distribution is positively skewed. There are fewer data plots to right of the graph towards the larger numerical values. The tail of the graph is moving towards higher positive numbers. This means the mean is pulled towards the tail and is greater than the median. In this case, the mean will include every value.
raymond wants to know the costs of buying different numbers of songs for his mp3 player the cost of each song is the same let s represent the possible number of songs ramond could buy let d represent the amount of money
Answers
The values of s in correspondence with the values of d are as indicated in the answer below.
What are the missing values of s and d?It follows from the complete task content that the missing values in Raymond's table are required.
From the first row, it follows that 2 MP3 songs goes for 2.58.
On this note, the ratio of d to s; d/s = 2.58/2.
Ultimately, the missing values can be evaluated by just substituting d and s into the equation for each case.
Remarks:
Fill in the table for all missing values of s and d.
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Del sells his. Goods for £38 making a 5% loss how much did he pay for the good when he bought them
Answers
Answer:
Del paid £40 for the goods.
Step-by-step explanation:
It is given that:
Selling price of goods = £38
Loss = 5%
It means that,
Selling price = (100-5)% = 95%
Let,
x be the buying price.
95% of x = 38
\(\frac{95}{100}x=38\\\\0.95x=38\)
Dividing both sides by 0.95x
\(\frac{0.95x}{0.95}=\frac{38}{0.95}\\x=40\)
Therefore,
Del paid £40 for the goods.
Can somsone help me with the questin fast?!?!?!
Answers
Answer:
3rd option: 118 < 0.20p + 18 < 218
Step-by-step explanation:
The answer is between 118 and 218:
a=answer
118 < a < 218
Now solve fo a:
Since the charge is $18 plus $0.20/kilowatt hour, the result cost is
18 + 0.20p ==> p=kilowatt hour and 0.20p is the cost per kilowatt hour
Hence, a=18 + 0.20p
Hence, the answer is 118 < 18 + 0.20p < 218 ==> plugin 18 + 0.20p for a
118 < 18 + 0.20p < 218 ==> 118 < 0.20p + 18 < 218
a professional basketball player makes 80% of the free throws he tries. assuming this percentage holds true for future attempts, use the binomial formula to find the probability that in the next eight tries, the number of free throws he will make is: a. exactly 8 b. exactly 5 c. 3 or 4
Answers
a) The probability that in the next eight tries, the number of free throws he will make exactly 8 is equals to the 0.27249.
b) The probability that in the next eight tries, the number of free throws he will make exactly 5 is equals to the 0.08386.
We have a professional basketball player makes 80% of the free throws he tries.
let X be the number of free throws he will make in the next 8 tries. He makes 80% of the free thwors he tries. So, for binomial distribution, X~Bin(8,0.80)
so the probability mass function of X is P[X =x] = ⁸Cₓ 0.85ˣ (1-0.85)⁽⁸⁻ˣ⁾, x = 0,1, 2,..8
P[ X = x] = 0 otherwise.
a) So, the probability that he makes exactly 8 throws isP,(X=8)
= ⁸C₈(0.85)⁸ (1- 0.85)⁰
=0.27249
b) the probability that he makes exactly 5 throws is, P[X=5]
=⁸C₅0.855(1-0.85)⁽⁸⁻³⁾=56×0.855×0.153
=0.08386
Hence required probability is 0.083.
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Page 2 2 Page 3: 3 Question 18 (5 points) The distance in miles from the finish line. D(t), of a bicyclist thours after beginning a race is given by D(t) = 50-25t. Which of the following statements is true? A) After 25 minutes the bicyclist will be at the finish line. B) After 2 hours the bicyclist will be at the finish line. C) At the start of the race the bicyclist is 25 miles from the finish line.
Answers
The correct statement is C) At the start of the race, the bicyclist is 25 miles from the finish line.
The given formula for the distance of the bicyclist from the finish line is D(t) = 50 - 25t, where t represents the time in hours. To verify which statement is true, we can evaluate each option using the formula.
A) After 25 minutes, t = 25/60 hours, substituting t into the formula:
D(25/60) = 50 - 25(25/60)
D(25/60) = 50 - 10.4167
D(25/60) ≈ 39.5833
B) After 2 hours, t = 2 hours, substituting t into the formula:
D(2) = 50 - 25(2)
D(2) = 50 - 50
D(2) = 0
C) At the start of the race, t = 0 hours, substituting t into the formula:
D(0) = 50 - 25(0)
D(0) = 50 - 0
D(0) = 50
Based on the evaluations, we find that option C) is true. At the start of the race, the bicyclist is indeed 25 miles from the finish line.
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I NEED HELP SOMEONE ASAP
Answers
Answer: x⁴y²⁰
Step-by-step explanation: Distribute the exponent ⁴ over the parentheses
(x y⁴)⁴ becomes x⁴y¹⁶ (multiply exponents)
then take the 4th root of y¹⁶ (divide the exponent of the radicand by the index) ⁴√y¹⁶ becomes y⁴
Then multiply the factors. Add exponents
x⁴y¹⁶ * y⁴ becomes x⁴y²⁰
The most important component when reporting a numerical scientific result is the ______.
Answers
The most important component when reporting a numerical scientific result is the unit.
This is further explained below.
What is a numerical scientific result?Generally, Our work in numerical and scientific computing includes the creation, analysis, and implementation of computer algorithms with the purpose of finding mathematical solutions to issues originating in engineering and the sciences.
In conclusion, When presenting a numerical result from scientific research, the unit is the single most crucial component.
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If the train from Milan, Italy, to Rome, Italy, takes 6 hours at a speed of 130 miles per hour, how many miles from Milan is Rome?
Answers
Step-by-step explanation:
the speed is 130 miles / hour.
that means the train travels 130 miles in 1 hour.
so, the question is, how far is it traveling. when it is going with that speed for 6 hours ?
well, 130 × 6 = 780 miles.
formally, speed is "distance / time".
multiplying this by some time, we have then an expression of "(distance / time) × time", which is then simply "distance".
Can somebody help me please thank you
Answers
Answer:
1.rode
2. Participate
3. Prepared
i don't know about the other ones
Hope this helps :)
I need help with this please
Answers
Answer:
x = 4
y = 10
Step-by-step explanation:
3x + 2y = 32 (Multiply this equation by -3)
9x - 3y = 6
-9x - 6y = -96
9x - 3y = 6
-9y = -90
y = 10
3x + 2y = 32
3x + 2(10) = 32
3x + 20 = 32
3x = 32 - 20
3x = 12
x = 4
Someone please help
Answers
Answer:
B. x - 2
Step-by-step explanation:
(3 - 1) = 2
Answer is x - 2.
Brainliest?
Yo tenía $ 2.00. Mi mamá me dio $ 10.00. Mi papá me dio $ 30.00. Mi tía y mi tío me dieron $ 100.00. Yo tenía otros $ 5.00. Cuánto tenía? La respuesta correcta será eliminada. Gané contra: Vero verito
Answers
Answer:
$147
Step-by-step explanation:
$2.00+$10.00+$30.00+$100.00+$5.00
=$147
El dinero total que tenía será de $ 147.00
Dado lo siguiente
La cantidad tenía inicialmente = $ 2.00
La cantidad dada por mamá = $ 10.00
La cantidad recibida de papá = $ 30.00
La cantidad recibida del tío y la tía = $ 100.00
Si tuviera otros $ 5,00
La cantidad total que tenía será la suma de todo el dinero que tenía y los recaudados como se muestra:
Dinero total que tenía = $ 2,00 + $ 10,00 + $ 30,00 + $ 100,00 + $ 5,00
Dinero total que tenía = $ 147.00
Por lo tanto, el dinero total que tenía será de $ 147.00.
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ANSWER 22 PLEASE...
22. Determine if the triangles below are congruent. If yes, state which method.
a)
b)
d)
o
4
Answers
Answer:
a) yes ASA
b) yes SSS
c) yes SSS
d) yes HL
Step-by-step explanation:
a square figure with side 4 ft has a semicircle with radius 2ft at the top what is the perimeter of the figure ? what formula should be used ?
Answers
Answer:
~18.28 ft. / 12 + 2π ft. (Read explanation please!)
Step-by-step explanation:
I) Find the square's perimeter:
Obviously, a square's perimeter is its side length x 4. However, there would be a semicircle on top of it. So, to find it we use:
4 x 3 = 16 ft. (Since 1 of the sides is covered by the semicircle)
II) Find the semicircle's perimeter:
Finding the semicircle's perimeter is a bit more complicated, but no worries! We can use this formula:
πr + 2r (pi x radius + radius x 2)
But WAIT: We need to make sure we remove that one side of the square we mentioned earlier. So we would use:
πr (pi x radius)
In terms of π, the perimeter would be:
2π = 2π ft.
Or, if you used a standard approximation of π, let's say 3.14, it would be:
2(3.14) = ~6.28 ft.
III) Add them up:
If we wanted to state the total perimeter using 3.14 as π, we would say the formula is:
2(3.14) + 4(3) = 18.28 ft.
Or in terms of π:
2π + 4(3) = 12 + 2π ft.
-8 + n/2 = -13
Please help me I’m begging we just started to learn this today
Answers
Answer:
-10
Step-by-step explanation:
-8 + n/2 = -13
n/2 = -13 + 8
n/2 = -5
n = -5 * 2
n = -10
Hope it helps!