Recall the Tudor-Fordor example discussed in the lectures (and chapter 8 of the textbook), with the difference that Tudor is risk averse, with square-root utility over its total profit (see Exercise S6 in solved examples). Fordor is risk neutral. Also, assume that Tudor's low per-unit cost is 10, as in Section 6.C of the textbook.
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In the Tudor-Fordor example, we have two firms, Tudor and Fordor, competing in a market. Tudor is risk-averse with square-root utility over its total profit, while Fordor is risk-neutral. The low per-unit cost for Tudor is given as 10.
Let's first recap the Tudor-Fordor example. In this scenario, Tudor and Fordor are two companies producing the same product and competing in the market. Tudor has a low per-unit cost of 10, while Fordor has a per-unit cost of 15. Now, let's add the new assumption that Tudor is risk averse and has square-root utility over its total profit. This means that Tudor's utility function is U(T) = √T, where T is Tudor's total profit. On the other hand, Fordor is still risk-neutral, which means that its utility function is U(F) = F, where F is Fordor's total profit.
With these new assumptions, we can see that Tudor's risk aversion will affect its decision-making. Tudor will want to avoid taking risks that could result in a lower total profit because the square-root utility function means that losses have a greater impact on its overall utility. In contrast, Fordor's risk-neutral position means that it is not concerned about the level of risk involved in its decisions. It will simply choose the option that yields the highest total profit.
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Related Questions
Find the value of 2 so that the function has the given value. g(x) = {1/2x– 3; g(x)=-4
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Answer:
Step-by-step explanation:
its 4
Evaluate (g+h)3^ if g is 2 and h is -3
Answers
Answer:
-1
Step-by-step explanation:
(2 + -3)^3
2 + -3 = -1
(-1)^3
-1
in which age classes do the median and quartiles fall?
Answers
The median and quartiles fall in the middle age classes.
The median is the middle value in a set of data, meaning that half of the data falls below the median and half falls above it. The quartiles divide the data into four equal parts, with the first quartile (Q1) being the 25th percentile, the second quartile (Q2) being the median or 50th percentile, and the third quartile (Q3) being the 75th percentile.
In terms of age classes, the median and quartiles would fall in the middle age classes. For example, if the age classes were 0-10, 11-20, 21-30, 31-40, 41-50, 51-60, 61-70, 71-80, and 81-90, the median and quartiles would fall in the 21-30, 31-40, and 41-50 age classes.
It is important to note that the specific age classes that the median and quartiles fall in will depend on the distribution of the data. However, they will always fall in the middle age classes, as they represent the middle values of the data set.
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The town of Springfield had a population, P, of 100,000 in 2008. The population grew by 5% per year from 2008 to 2011. If x is the number of years since 2008, which expression describes this growth?
Answers
Answer:
100,000+.05^x=P
Step-by-step explanation:
The expression which best described the total population is P = 100000 × (1.05)ˣ; 1 ≤ x ≤ 3.
What is the pattern?A pattern is a specific arrangement of numbers or any term which will follow a specific code or hint.
The hint which is present in a given pattern hides in the pattern only.
Total population P in 2008 = 100000
Total population In 2009 = 100000 + 5% of 100000
⇒ 100000 + 0.05 × 100000
⇒ 1.05 × 100000
Total population P in 2010 ⇒
⇒ (1.05 × 100000) + 5% of (1.05 × 100000)
⇒ (1.05 × 100000) + 0.05 × 1.05 × 100000
⇒ 1.05 × 100000[ 1 + 0.05]
⇒ 1.05² × 100000
So it will follow this series.
Therefore,
1.05 × 100000, 1.05² × 100000, 1.05³ × 100000
The generalized term is ;
P = 100000 × (1.05)ˣ; 1 ≤ x ≤ 3
Hence "The expression which best described the total population is P = 100000 × (1.05)ˣ; 1 ≤ x ≤ 3".
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Please help me please
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x-(y+z)
x=9
y=3
z=2
9-(3+2)
the answer is A.
15. At the farmer's market 1. 5 dozen eggs cost $3. 75. What is the cost fo 1 dozen eggs? A $2. 25 B. $2. 50 $4. 75 D $5. 50
Answers
Answer:
The cost of 1 dozen eggs is $2.50.
Step-by-step explanation:
To find the cost of one dozen eggs, we need to determine the cost per egg and then multiply it by 12.
Given that 1.5 dozen eggs cost $3.75, we can divide the total cost by the number of dozens to find the cost per dozen.
3.75 divided by 1.5 equals $2.50.
Therefore, the cost of one dozen eggs is $2.50.
Among the given options, option B, $2.50, corresponds to the correct answer.
Option A, $2.25, is not the correct answer because it is lower than the calculated cost of $2.50.
Option C, $4.75, and option D, $5.50, are not the correct answers because they are higher than the calculated cost of $2.50.
Thus, the correct answer is B, $2.50.
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I need this done ASAP! I will give brainliest to the answer with the work shown for all problems. Or whichever is done the fastest with the work shown for all problems. I WILL REPORT ANY ANSWERS THAT DO NOT ANSWER MY QUESTION!
Answers
what will be the value of x after the following code is executed? int x = 10; for (int y=5; y<20; y = 5) x = y;
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The value of x after the following code 'int x = 10; for (int y=5; y<20; y = 5) x = y' is executed will be 5.
The given for loop initializes the variable y to 5, then checks if y is less than 20, and then sets y to 5 again in each iteration. This means that the loop will execute only once with the value of y being 5, and after that, the loop condition will always be false because y is never incremented or changed in any way.
During the execution of the loop, the value of y is assigned to the variable x. Therefore, after the loop, the value of x will be 5.
So, the final value of x will be 5.
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25 points! Please help and solve step by step. Solve for x and check for extraneous solutions.
(X-2)^2/3 + 13 = 5
Answers
Answer:
no solutions
Step-by-step explanation:
(X-2)^2/3 + 13 = 5
Subtract 13 from each side
(X-2)^2/3 + 13-13 = 5-13
(x-2) ^2/3 = -8
Raise each to the 3/2 power
(x-2) ^2/3 ^3/2= -8^3/2
(x-2) = (-512) ^1/2
We cannot take the square root of a negative number and remain in the real number system
There are no solutions
Answer:
No real solutions
Imaginary/complex solutions:
x = 2 +/- 16sqrt(2)i
Step-by-step explanation:
(X-2)^2/3 + 13 = 5
(X-2)^2/3 = -8
(X - 2)² = (-8)³
X - 2 = +/- sqrt(-512)
No real solution
x = 2 +/- 16sqrt(2)i
(2 +/- 16sqrt(2)i - 2)^⅔ + 13 = 5
[(+/- 16sqrt(2)i)²]^⅓ + 13 = 5
(-512)^⅓ + 13 = 5
-8 + 13 = 5
5 = 5
What is the value if X and Y?
Answers
Hope I’m right!
The ratio of the number of men to the number of woman is 9:5 if there are 63 men how then how many woman are there
Answers
Answer:
Step-by-step explation:
if the ratio of 9 contains 63 men then what about the ratio of 5 u do cross multiplication it will be 5 ×63 the answer you get multiply by 9 answer will be 35
72 more females than males are enrolled in Archimedes High school. 60% of the students are female. What is the number of male students that are enrolled?
Answers
Answer:
115.2
Step-by-step explanation:
Answer:
360
Step-by-step explanation:
https://www.algebra.com/algebra/homework/Percentage-and-ratio-word-problems/Percentage-and-ratio-word-problems.faq.question.32852.html
1. In a shot put event, an athlete throws the shot put with an initial velocity of 38 feet per
second and releases it from a height of 5 feet. How high above the ground is it after 2
seconds
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Answer: after two seconds it would be ground level due to the fact that during the 1 second mark it was at 5 feet above ground, so then it would disperse energy going back to ground level, or atleast to 2.5 feet off the ground. This question wouldn’t make sense applied to logic in real life.
Step-by-step explanation:
A robot moves in the positive direction along a straight line so that
after t minutes its distance is s=6t^(4) feet from the origin. (a) Find
the average velocity of the robot over the interval 2,4. (b) Find the
instantaneous velocity at t=2.
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The robot moves in the positive direction along a straight line so that after t minutes its distance is s=6t^4 feet from the origin. (a) Find the average velocity of the robot over intervals 2, 4. We have the following data: Initial time, t₁ = 2 min.
Final time, t₂ = 4 min.The distance from the origin is given by s = 6t^4Therefore, s₁ = s(2) = 6(2^4) = 6(16) = 96 feet s₂ = s(4) = 6(4^4) = 6(256) = 1536 feet
We can find the average velocity of the robot over the interval 2, 4 as follows: Average velocity = (s₂ - s₁) / (t₂ - t₁)Average velocity = (1536 - 96) / (4 - 2)Average velocity = 1440 / 2Average velocity = 720 feet per minute(b) Find the instantaneous velocity at t=2.To find the instantaneous velocity at t = 2 min, we need to take the derivative of the distance function with respect to time. We have the distance function as:s = 6t^4 Taking derivative of s with respect to t gives the velocity function:v = ds / dt Therefore,v = 24t³At t = 2, the instantaneous velocity is:v(2) = 24(2)³v(2) = 24(8)v(2) = 192 feet per minute Therefore, the instantaneous velocity at t = 2 min is 192 feet per minute.
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A cup is tossed 100 times. It lands on its side 73 times, upside down 14 times, and right side up 13 times. According to the data, what is the probability that the cup will not land on its side?
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Find the area of the figure.
22;
yd
21 syd
The area of the figure is
lyd?
Answers
Answer:
area = 462
Step-by-step explanation:
Write the following algebraic expressions in words:
i) 5n-10
ii) x(5+x)
iii) x to the second power +2x
Answers
Answer:
not the answer:
you can do it think and stay positive
Determine whether the statement is true or false. If the statement is false, explain why. The midpoint of the segment joining (0,0) and (38,38) is 19.
Answers
The midpoint has coordinates (19,19) as per the midpoint formula.
The statement is false.
The statement is false. The midpoint of the segment joining two points is determined by taking the average of their x-coordinates and the average of their y-coordinates. In this case, the two given points are (0,0) and (38,38).
To find the x-coordinate of the midpoint, we take the average of the x-coordinates of the two points:
(x1 + x2) / 2
= (0 + 38) / 2
= 38 / 2
= 19
Therefore, the x-coordinate of the midpoint is 19, which matches the statement. However, to determine if the statement is true or false, we also need to check the y-coordinate.
To find the y-coordinate of the midpoint, we take the average of the y-coordinates of the two points:
(y1 + y2) / 2
= (0 + 38) / 2
= 38 / 2
= 19
The y-coordinate of the midpoint is also 19. Therefore, the coordinates of the midpoint are (19,19), not 19 as stated in the statement. Since the midpoint has coordinates (19,19), the statement is false.
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what is f(x) = x^2
g(x)=(x+3)^2-1
Answers
Step-by-step explanation:
f(x) = x^2 represents a quadratic function, where the input value (x) is squared and the resulting output value is equal to the square of x.
g(x) = (x+3)^2 - 1 represents another quadratic function, where the input value (x) is first added to 3, then squared, and the resulting output value is equal to the square of (x+3) minus 1.
To evaluate these functions for a specific value of x, we simply substitute that value into the function in place of x. For example, if we want to find f(4), we would replace x with 4 to get:
f(4) = 4^2 = 16
Similarly, if we want to find g(-2), we would replace x with -2 to get:
g(-2) = (-2+3)^2 - 1 = 1^2 - 1 = 0
We can also graph these functions on a coordinate plane by plotting points for various values of x and their corresponding values of f(x) or g(x). The graph of f(x) = x^2 is a parabola that opens upwards, while the graph of g(x) = (x+3)^2 - 1 is also a parabola, but it has been shifted 3 units to the left and 1 unit downwards compared to the graph of f(x).
Choose the lettre of the correct answer. write the choosen letter of the separate sheet of paper plss pasagot need ko na po
Answers
Answer:
Step-by-step explanation:
what?
local bank is using Winters' method with α = 0.2,
β = 0.1, and γ = 0.5 to forecast the number of
customers served each day. The bank is open Monday through Friday.
At the end of the previous week,
Answers
The exact forecasted number of customers to be served on each of the next five business days, rounded to one decimal place, are as follows:
Tuesday: 389.1
Wednesday: 368.7
Thursday: 326.5
Friday: 510.9
To forecast the number of customers served on each of the next five business days using Winters' method, we need to follow these steps:
Calculate the seasonal factor for each day by multiplying the seasonal index by the level.
Monday: 1.10 × 20 = 22
Tuesday: 0.95 × 20 = 19
Wednesday: 0.90 × 20 = 18
Thursday: 0.80 × 20 = 16
Friday: 1.25 × 20 = 25
Update the level and trend using the following formulas:
New Level = α × (Actual Value / Seasonal Factor) + (1 - α) × (Previous Level + Previous Trend)
New Trend = β × (New Level - Previous Level) + (1 - β) * Previous Trend
For Tuesday:
New Level = 0.2 × (30 / 22) + 0.8 × (20 + 1) = 20.3636
New Trend = 0.1 × (20.3636 - 20) + 0.9 × 1 = 0.0364
Forecast the number of customers served on each subsequent day using the formula:
Forecast = (New Level + Forecasted Trend) × Seasonal Factor
Tuesday Forecast = (20.3636 + 0.0364) × 19 = 389.0909
Wednesday Forecast = (20.3636 + 0.0364) × 18 = 368.7273
Thursday Forecast = (20.3636 + 0.0364) × 16 = 326.5455
Friday Forecast = (20.3636 + 0.0364) × 25 = 510.9091
Therefore, the forecasted number of customers to be served on each of the next five business days, rounded to one decimal place, are as follows:
Tuesday: 389.1
Wednesday: 368.7
Thursday: 326.5
Friday: 510.9
The question should be: A local bank is using Winters' method with α = 0.2, β= 0.1, and γ = 0.5 to forecast the number of customers served each day. The bank is open Monday through Friday. At the end of the previous week, the following seasonal indexes have been estimated: Monday, 1.10; Tuesday, 0.95; Wednesday, 0.90; Thursday, 0.80; Friday, 1.25. Also, the current estimates of level and trend are 20 and 1. After observing that 30 customers are served by the bank on this Monday, forecast the number of customers who will be served on each of the next five business days. Round your answers to one decimal place, if necessary.
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IS
4
7+
−1
3
RATIONAL OR IRRATIONAL
Answers
Answer:
This will be rational.
Step-by-step explanation:
Keep in mind that a rational number is (of a number, quantity, or expression) expressible, or containing quantities that are expressible, as a ratio of whole numbers. When expressed as a decimal, a rational number has a finite or recurring expansion.
The amounts below show the change (measured in feet) in water level over four months. What is the average monthly change in water level? −1/8,−9/8,−12/8,2/8
Answers
Answer:
Answer:-5/8
Step-by-step explanation:
Find the number that makes the ratio equivalent to 7:5. _:50
Answers
The number that makes the ratio equivalent to 7:5 is 70 when compared with 50. To find this, we can set up a proportion and solve for the unknown value.
Step 1: Set up the proportion
First, we can set up the proportion with the given ratio 7:5 and the unknown value (let's call it "x") compared to 50:
(7/5) = (x/50)
Step 2: Cross-multiply
Next, we can cross-multiply to find the equivalent value:
7 * 50 = 5 * x
Step 3: Solve for x
Now, we can solve for the unknown value "x":
350 = 5x
x = 70
So, the number that makes the ratio equivalent to 7:5 when compared with 50 is 70. The resulting equivalent ratio is 70:50.
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Whai is 100 days ago?
Answers
The date which is 100 days ago from 12 February 2023 is equal to
November 04, 2022 .
Ago represents the earlier than the given present time.Present date is equal to 12 February 2023.
Date which is 100 days is written as :
January month has 31 days.
December month has 31 days.
November month has 26 days.
Total days equal to :
( 31 + 31 + 26 + 12 ) days = 100 days
100 days ago from 12 February 2023 is equal to :
12 February 2023 minus 100 days is 04 days 2022.
Therefore, the day which is 100 days ago from 12 February 2023 is given by November 04, 2022 .
The above question is incomplete , the complete question :
What is 100 days ago from 12 February 2023 ?
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Mrs. McKenzie is interested in a particular bracelet. Its original price was $86, but it is currently priced at $43. What is the percent of decrease in the price of the bracelet?
Answers
The original price is $86, but the new price is $43. Half of $86, or $86 times 0.5 is $43.
Need some help with this one, The question is the picture below and show your work
Answers
PLEASE HELP ASAP
At a local high school, the student population is growing at 12% a year. If the original population was 242 students, how long will it take the population to reach 300 students? Round to the nearest tenth of a year.
A. 0.7 Years
B. 3.2 Years
C. 1.9 Years
Answers
It will take 2 year the population to reach 300 students.
What is rounding to the nearest tenth?
Look at the hundredth number to round the decimal number to the nearest tenth. If it's more than 5, add one to the tenth value. Remove all the numbers that are present after the tenth place and leave the tenth place value alone if it is less than 5. To the nearest tenth, 4.6, for instance, is 4.624.
Given that, the initial number of students is 242.
The student population is growing at 12% a year.
The number of students that increases is 300 - 242 = 58.
Applying formula
I = PRT
I = The number of students that increased = 58
P = initial number of students = 242
T = Time
R = rate of increasing =12% = 0.12
Therefore,
58 = 242 × T × 0.12
T = 58/(242 × 0.12)
T = 1.997
T = 2.0 years
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Help me with my math hw about angles
Answers
The measures of the numbered angles are:
m∠1 = 65°
m∠2 = 55°
m∠3 = 60°
m∠4 = 65°
m∠5 = 55°
m∠6 = 60°
m∠7 = 120°
m∠8 = 60°
m∠9 = 120°
m∠10 = 115°
m∠11 = 85°
m∠12 = 115°
How to find the measures of the numbered angles?Angle geometry is a branch of mathematics that deals with the study of angles and their properties. Angles are formed when two lines or rays intersect or when a line intersects a plane.
m∠1 = 65° (corresponding angles)
m∠2 = 180 - 60 - m∠1 (angles on a straight line)
m∠2 = 180 - 60 - 65 = 55°
m∠3 = 60° (vertically opposite angles)
m∠4 = m∠1 (vertically opposite angles)
m∠4 = 65°
m∠5 = m∠2 (vertically opposite angles)
m∠5 = 55°
m∠6 = m∠3 (alternate angles)
m∠6 = 60°
m∠7 = 180 - m∠6 (angles on a straight line)
m∠7 = 180 - 60 = 120°
m∠8 = m∠6 (vertically opposite angles)
m∠8 = 60°
m∠9 = m∠7 (vertically opposite angles)
m∠9 = 120°
m∠10 = 180 - 65 (angles on a straight line)
m∠10 = 180 - 65 = 115°
m∠11 = 85° (vertically opposite angles)
m∠12 = m∠10 (vertically opposite angles)
m∠12 = 115°
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Come on plzzz brainilest no cap
Answers
Answer:
=3.5(-2.3) - 9.75
= -8.05 - 9.75
= negative 17.8
Step-by-step explanation:
Hope this helped and pls give me brainliest!