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malfutka [58]
3 years ago
5

You are given the following C = 1.5Q^2 + 40A + 100 p = 140 - 1Q "where Q is​ output, p is​ price, and C is the total cost of pro

duction. Determine the profit-maximizing LOADING... price and output for a monopoly."
Business
1 answer:
daser333 [38]3 years ago
8 0

Answer:

q =  20

P = 120

Explanation:

\left \{ {{C = 1.5Q^{2} +40Q + 100} \atop {p = 140 - 1Q}} \right.

<u></u>

<u>From the Price formula, we deduce that total revenue and from there, the marginal revenue</u>

Total revenue = Price x Q

Total revenue = (140 - 1Q) x Q

Total revenue = 140Q - 1Q^2

Now marginal revenue will be dTR/dQ'

marginal revenue = 140  - 2Q

<u>Now we solve for marginal cost:</u>

Total Cost 1.5Q^2 +40Q + 100

We calculate dTC/dQ'

Marginal Cost = 3Q + 40

Now we do MR = MC

140 - 2Q = 3Q + 40

100 = 5Q

Q = 20

Price= 140 - 1Q = 140 - 1 x (20) = 120

The profit-maximizing Q is 20 and P equal to 120

We can try to check:

Total Revenue  = $121 x 19Q  =  2,299

Total Revenue = $120 x 20Q = 2,400

Total Revenue = $119 x 21Q =   2,499

Total Cost 1.5Q^2 +40Q + 100

Q = 19  TC = 1401.5

Q = 20 TC = 1500

Q = 21 TC = 1601.5

Profit:

at Q 19 2,299 - 1,401.5   = 897.5

at Q 20 2,400 -1,500     = 900

at Q 21  2,499 - 1,601.5  = 897,5‬

At Q = 20 the profit is maximize From there, adding a new unit decrease the profti for the company.

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Selected data from Emporia Company follow: Balance Sheets As of December 31 2018 2017 Accounts receivable $ 600,000 $ 480,000 Al
svet-max [94.6K]

Answer:

Compute the accounts receivable turnover for 2018.

4.29 times

Compute the inventory turnover for 2018

3.6 times

Compute the net margin for 2017.

24.58%

Explanation:

Compute the accounts receivable turnover for 2018.

accounts receivable turnover = Sales / Accounts receivable

                                                  =  $ 2,400,000 / $ 560,000

                                                  = 4.29 times

Compute the inventory turnover for 2018

Inventory turnover = cost of Sales / inventory

                                = $1,800,000 /  $ 500,000

                                = 3.6 times

Compute the net margin for 2017.

net margin = Net Profit / Sales × 100

                  = (2,400,000-1,810,000) / 2,400,000  × 100

                  = 24.58%

3 0
3 years ago
The following data values represent the daily amount spent by a family during a summer vacation. find the sample standard deviat
Mama L [17]

The sample standard deviation of this dataset is =19.1.

The Standard deviation is a degree of the amount of variant or dispersion of a set of values. A low widespread deviation indicates that the values tend to be near the mean of the set, at the same time as a high widespread deviation indicates that the values are spread out over a much wider variety.

x x- \bar x=x-101 (x-ˉx)2

96     -5                          25

125     24                        576

80     -21                     441

110     9                          81

75    -26                   676

100      -1                         1

121        20                    400

∑x=707 ∑(x-\bar x)=0 ∑(x-\bar x)2=2200

Mean \bar x =∑x/n

=96+125+80+110+75+100+121/7

=707/7

=101

Sample  standard deviation S=√∑(x-\bar x)2/n-1

=√2200/6

=√366.6667

=19.1

Learn more about standard deviation here:-brainly.com/question/475676

#SPJ4

4 0
10 months ago
1. Which of the following questions would be permissible to ask during an interview with a candidate who
Marina CMI [18]

Answer:

I would say the first one

Explanation:

beacuse you do need to know if there is anything that could be hard for them to do and make it where they cant do there job it also might depnd on the job of what you would ask them but I would say the fist one so it gets to the point and isent rude hope this helps :)

7 0
3 years ago
Read 2 more answers
The tax agency fund of Hardin County collected $1,000,000 for a school district, $5,000,000 for the county General Fund, and $50
rewona [7]

Answer:

$1,500,000

Explanation:

County receives funding from numerous sources. County has no control to introduce new taxes or increasing current taxes, except for property tax.

Given:

County collected for a school district = $1,000,000

County for General Fund =  $5,000,000

For town located in the County = $500,000

Hardin County Agency Fund = County for school + County for a town

= $1,000,000 + $500,000

= $1,500,000

4 0
2 years ago
A company has a $4,000, 270-day, 6%, note payable recorded on its books which was dated July 2, 2013. The interest expense is pa
tensa zangetsu [6.8K]

Answer:

Interest expense accured = $121.33 (

Explanation:

The exact number of days from July 2 through December 31, 2013 is 182 days.

The accrued interest  (182/360) x $4,000 x 6% = $121.33

5 0
2 years ago
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