Answer:
a. $90,000
b. 15 advertisement slots
c. 0.53
Step-by-step explanation:
Let the purchase price of the slots, c = 4,500
The salvage value of the slots, s = 2,000
The selling price of the slots, p = 8,000
a. If the store manager sells all the advertising slots in advance, the revenue received, 'R', is given as follows;
R = The number of slots, n × The purchase price for selling immediately, c
∴ R = 20 × $4,500 = $90,000
The revenue the station will receive by selling all the advertising slots in advance, R = $90,000
b. The Cost of Overage, [tex]C_o[/tex] = Purchase price - Salvage value
∴ The Cost of Overage, [tex]C_o[/tex] = 4,500 - 2,000 = 2,500
The Cost of Underage, [tex]C_u[/tex] = Selling price - Purchase price
∴ The Cost of Underage, [tex]C_u[/tex] = 8,000 - 4,500 = 3,500
P; 0.03, 0.05, 0.1, 0.15, 0.2, 0.15, 0.1, 0.05, 0.05, 0.05, 0.05, 0.02
With help of MS Excel, we get the following cumulative frequency
F(Q); 0.03, 0.08, 0.18, 0.33, 0.53, 0.68, 0.78, 0.83, 0.88, 0.93, 0.98, 1
The expected monetary value for the decision to sell the 8th slot at the last minute is given by the following relation;
[tex]C_u[/tex] × [1 - F(Q)] - [tex]C_o[/tex] × F(Q)
Where F(Q) = The cumulative frequency for the 8th stock
Therefore, we have;
3,500 × (1 - 0.03) - 2,500 × 0.03 = 3,300
For the 8th slot, the TV station is expected to make an extra $3,300
Using MS Excel, we get;
For the 9th slot, the profit over the purchase price = $3,020
Fot the 10th slot, the profit over the purchase price = $2,420
The profit over the purchase price for the 11th slot = $1,520
The profit over the purchase price for the 12th slot = $320
The profit over the purchase price for the 13th slot = $(-580)
The 14th = $(-1,180)
15th = $(-1,480)
16th = $(-1,780)
17th = $(-2,080)
18th = $(-2,380)
19th = $(-2,500)
Therefore, to maximize profit, only the 8th, 9th, 10th, 11th, and 12th, slots which are 5 slots should be sold late while 20 - 5 = 15 slots should be sold in advance
c. The probability that the total revenue will exceed the identified amount in part 'a' is the cumulative probability at the 12th slot which is given as follows;
P(D ≤ 12) = F(12) = 0.53.
The probability that the total revenue will exceed the identified amount in part 'a' is the cumulative probability at the 12th slot is 0.53.
What is the probability?Probability refers to a possibility that deals with the occurrence of random events. The probability of all the events occurring need to be 1.
Given information
The demand for these last minute slots is estimated
8 9 10 11 12 13 14 15 16 17 18 19
Probability 0.03 0.05 0.1 0.15 0.2 0.15 0.1 0.05 0.05 0.05 0.05 0.02
The purchase price of the slots = 4,500
The salvage value of the slots = 2,000
The selling price of the slots = 8,000
a. The revenue received
R = The number of slots × The purchase price of the slot
R = 20 × $4,500 = $90,000
The revenue the station will receive by selling all the advertising slots in advance, R = $90,000
b. The Cost of Overage = Purchase price - Salvage value
The Cost of Overage, = 4,500 - 2,000 = 2,500
The Cost of Underage, = Selling price - Purchase price
The Cost of Underage, = 8,000 - 4,500 = 3,500
Probability 0.03, 0.05, 0.1, 0.15, 0.2, 0.15, 0.1, 0.05, 0.05, 0.05, 0.05, 0.02
Cumulative frequency
F(Q); 0.03, 0.08, 0.18, 0.33, 0.53, 0.68, 0.78, 0.83, 0.88, 0.93, 0.98, 1
The expected monetary value for the decision to sell the 8th slot at the last minute
The Cost of Underage × [1 - F(Q)] - × F(Q)
Where F(Q) = The cumulative frequency for the 8th stock
Therefore, we get
3,500 × (1 - 0.03) - 2,500 × 0.03 = 3,300
For the 8th slot, the TV station is expected to make an extra $3,300
For the 9th slot, the profit over the purchase price = $3,020
For the 10th slot, the profit over the purchase price = $2,420
Similarly,
The profit over the purchase price for the 11th slot = $1,520
The profit over the purchase price for the 12th slot = $320
The profit over the purchase price for the 13th slot = $(-580)
The profit over the purchase price for the 14th = $(-1,180)
The profit over the purchase price for the 15th = $(-1,480)
The profit over the purchase price for the 16th = $(-1,780)
The profit over the purchase price for the 17th = $(-2,080)
The profit over the purchase price for the 18th = $(-2,380)
The profit over the purchase price for the 19th = $(-2,500)
Therefore, only the 8th, 9th, 10th, 11th, and 12th slots should be sold in advance to maximize profit.
c. The probability that the total revenue will exceed the identified amount in part 'a' is the cumulative probability at the 12th slot.
P(D ≤ 12) = F(12) = 0.53.
Learn more about probability here;
https://brainly.com/question/11234923
What is the approximate circumference of a circle that has a center at (6,2) and passes through the point (20,2)? (Use 3.14 as an approximation for pi)
answers : 126,88,63,44
Answer:
C = 88
Step-by-step explanation:
So, we know that the circle passes thru the point (20,2), and it's center is (6,2).
The general definition of a circle's radius is the distance from the center to any point on the circle!
Vertically, these points are the same - so if we just subtract 20 from 6 we know the distance between the center and this point on the circle!
[tex]20 - 6 = 14\\r=14[/tex]
Anyhow, we now know that the radius is 14. and the equation for a circle's circumference is as follows:
[tex]r2\pi \\or\\d\pi[/tex]
Insert the values into the equation....
[tex]C = 3.14(14)(2)\\C=87.92[/tex]
87.92 ≈ 88.00
Have a nice day, fam. Spread The Love <3
How many millimeters are equal to one kilometer. Show your work
Answer:
1,000,000
Step-by-step explanation:
1mm=1e-6km
10mm=1e-5km
100mm=1e-4km
1000mm=000.1km
10000mm=0.01km
100000mm=0.1km
500000mm=0.5km
1000000mm=1km
two polynomials with a constant term of -3 with an explanation, thanks. didn't understand a thing in school.
Please find the surface area
Answer:
so 3ft x 5ft would be 15ft for the top one or if its addition it would be 8ft
Step-by-step explanation:
How many miles will light travel in one day if the speed of light is 300,000,000 meters per second.
(1.62 km = 1 mi)
Answer:
[tex]d=1.61\times 10^{10}\ miles[/tex]
Step-by-step explanation:
Given that,
The speed of light, v = 300,000,000
eWe need to find the distance light travel in 1 day. We know that,
1 day = 86400 seconds
Distance = speed × time
So,
[tex]d=3\times 10^8\times 86400[/tex]
[tex]d=2.592\times 10^{13}\ m[/tex]
or
[tex]d=0.001610\times 10^{13}\\\\d=1.61\times 10^{-3}\times 10^{13}\\\\d=1.61\times 10^{10}\ miles[/tex]
So, the required distance is equal to [tex]1.61\times 10^{10}\ miles[/tex].
I’ll give points + brainalist (:
Answer:
The right answer to the question is b
Answer:
B [tex]x \leq 1[/tex]
Step-by-step explanation:
Isolate the x.
[tex]-5x + 10 \geq 5\\-5x \geq -5\\x \leq 1[/tex]
The [tex]\geq[/tex] sign flipped to [tex]\leq[/tex] , because you're dividing with a negative number.
Find the 10th term of the geometric sequence show below
Answer:
-19,6830x^26
Step-by-step explanation:
The nth term of a geometric sequence is expressed as;
Tn -= ar^n-1
a is the first term
is the number of terms
r is the common ratio
Given
a = -10x^8
r = 30x^10/-10x^8 = -3x^2
n = 10
Substitute
a10 = (-10x^8)(-3x^2)^10-1
a10 = (-10x^8)(-3x^2)^9
a10 = -10x^8)(19,683)x^18
a10 = -19,6830x^26
Hence the tenth term is -19,6830x^26
Find YZ.
Geometry, circles.
Answer:
YZ = 44
Step-by-step explanation:
(2x - 6) × 21 = (x + 1) × 30 => intersecting chords theorem
42x - 126 = 30x + 30
Collect like terms
42x - 30x = 126 + 30
12x = 156
12x/12 = 156/12
x = 13
✔️Find YZ:
YZ = 30 + x + 1
Plug in the value of x
YZ = 30 + 13 + 1
YZ = 44
FH and IK are parallel lines.
Which angles are vertical angles?
Answer:
LJ and GE
Step-by-step explanation:
Answer:
Angles IJG and KJL are vertical angles
Step-by-step explanation:
Vertical angles are formed when two lines intersect. It's a terrible name for them, because the name has nothing to do with the common word "vertica" (up-and-down).
The attached image shows an example of a pair of vertical angles. Another pair is angles AED and CEB.
what’s the slope ? please help , due in 20 min.
Answer:
-7/3
Step-by-step explanation:
You take two ( X,Y) points and subtract them to find the slope of the line.
23-16/-6-(-3) = -7/3
How do we find the amount of change?
Step-by-step explanation:
Bigger -smaller
hope it is helpful to you
Find the value of x in the triangle shown below.
a.x=24
b.x=135
c.x=24
d.x=12
Step-by-step explanation:
Solution given:
By using Pythagoras law
h²=p²+b²
15²=x²+9²
x²=15²-9²
x=√144=12
x=12 is your answer
Answer
Step-by-step explanation:
hope it is helpful to you
A clown grabbed balloons of different colors. 7/10 of the balloons are orange. 1/4 of the remaining balloons are blue. • The rest of the balloons are pink. The clown grabbed 126 pink balloons. How many balloons did the clown grab?
Answer:
The Clown grabbed 126 balloons
Step-by-step explanation:
In ΔMNO, o = 63 cm, n = 23 cm and ∠N=30°. Find all possible values of ∠O, to the nearest degree.
Answer:
No triangle possible
Step-by-step explanation:
You deposited 800 dollars in an account that pays 6% interest compounded monthly. How much will your account be worth after 10 years?
A. 276130.00
B. 849.46
C. 1456
D. 1455.52
Find the surface area of this net.
5 cm
13 cm
8 cm
A
B
C
12 cm
28
square centimeters
Answer:
360 cm
Step-by-step explanation:
first you find the triangles which is 1/2 (8×3)=12
then multiply by 2=24
I'm not too sure what your long rectangle measurements are but
I think your long measurement is 28, so then multiply 28 by 12 which is 336. then you add that to 24 which is 360
I need the answers plsss. I will mark brainiest.
Answer:
number 1 is true
Step-by-step explanation:
Help 16-18 thank you
Answer:
16. (80)(60) = 4800
17. (500)(600) = 300000
18. (700)(800) = 560000 a). high
Step-by-step explanation:
Now, find the difference. What is 3 1-14 6 8 1 3. 2 - 1 6 = 3 12 12
Answer:
3 1/2 - 1 4/6= 1 5/6
Step-by-step explanation:
The dimensions of an iPhone are x – 2 and x + 3. If the area of an iPhone is 14 square inches, find the dimensions of the iPhone
Answer:
The dimensions of the iphone are 2 inches by 7 inches.
Step-by-step explanation:
Given that,
The dimensions of an iPhone are x – 2 and x + 3.
The area of an iphone is 14 sq inches
We need to find the dimensions of the iPhone. It is in the shape of a rectangle. Its area is given by :
[tex]A=l\times b\\\\(x-2)(x+3)=14\\\\x^2-2x+3x-6=14\\\\x^2+x-6-14=0\\\\x^2+x-20=0\\\\x^2+5x-4x-20=0\\\\x(x+5)-4(x+5)=0\\\\(x-4)(x+5)=0\\\\x=4\ and\ x=-5[/tex]
Neglecting negative value
First dimension = (x-2) = (4-2) = 2 inches
Other dimension = (x+3) = (4+3) = 7 inches
Hence, the dimensions of the iphone are 2 inches by 7 inches.
The ability to find a job after graduation is very important to GSU students as it is to the students at most colleges and universities. Suppose we take a poll (random sample) of 3653 students classified as Juniors and find that 3005 of them believe that they will find a job immediately after graduation. What is the 99 % confidence interval for the proportion of GSU Juniors who believe that they will, immediately, be employed after graduation. (0.812, 0.833) (0.806, 0.839) (0.81, 0.835) (0.816, 0.829)
Answer:
(0.806, 0.839)
Step-by-step explanation:
In a sample with a number n of people surveyed with a probability of a success of [tex]\pi[/tex], and a confidence level of [tex]1-\alpha[/tex], we have the following confidence interval of proportions.
[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
In which
z is the zscore that has a pvalue of [tex]1 - \frac{\alpha}{2}[/tex].
Suppose we take a poll (random sample) of 3653 students classified as Juniors and find that 3005 of them believe that they will find a job immediately after graduation.
This means that [tex]n = 3653, \pi = \frac{3005}{3653} = 0.823[/tex]
99% confidence level
So [tex]\alpha = 0.01[/tex], z is the value of Z that has a pvalue of [tex]1 - \frac{0.01}{2} = 0.995[/tex], so [tex]Z = 2.575[/tex].
The lower limit of this interval is:
[tex]\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.823 - 2.575\sqrt{\frac{0.823*0.177}{3653}} = 0.806[/tex]
The upper limit of this interval is:
[tex]\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.823 + 2.575\sqrt{\frac{0.823*0.177}{3653}} = 0.839[/tex]
The answer is (0.806, 0.839)
What is the value of x?
Answer:
x = 16
Step-by-step explanation:
(8x - 16) + (3x +20) = 180
11x + 4 = 180
11x = 176
x = 16
1.
What is the solution?
y
3
-3-2-1
2 3x
O (1,2)
O (1,-1)
O 1
02
9514 1404 393
Answer:
(d) Infinitely Many Solutions
Step-by-step explanation:
Each point of intersection between the lines is a solution. When the lines lie on top of each other, there are infinitely many points of intersection, hence ...
Infinitely Many Solutions
Find the 17th term in the sequence for which a1 = 10 and d = -3.
Answer:
56
Step-by-step explanation:
please mark this answer as brainliest
Answer:
d. -38 on edge21
Step-by-step explanation:
The first three steps for completing the square to solve a quadratic equation are shown. What number goes in the boxes to complete the third step?
9514 1404 393
Answer:
C. 16
Step-by-step explanation:
The x-coefficient is -8. Half that is -4. The number that goes in the boxes is the square of -4: (-4)² = 16.
_____
It can help to keep in mind what the square of a binomial looks like:
(x -a)² = x² -2ax +a²
The coefficient of x is -2a. The constant is the square of half that (-2a/2)² = a².
Answer:
16
Step-by-step explanation:
The x-coefficient is -8. Half of -8 is -4. The number that goes in the boxes is the square of -4: (-4)² = 16.
Write an integer to represent the price of a stock dropping $3
Answer:
-3
Step-by-step explanation:
The integer which represents the price of a stock dropping $3 is ''-3''.
Here,
The price of a stock dropping is $3.
We have to show this number in form of integer.
What is Integers?
An integer is a whole number that can be positive, negative or zero.
Now,
The price of a stock dropping is $3.
Since, the price of a stock is drop,
Hence, it represents by ''- 3''
So, The integer which represents the price of a stock dropping $3 is ''-3''.
Learn more about the integers visit:
https://brainly.com/question/17695139
#SPJ2
A red line and a blue line bus both left the stadium at 4:00 p.m.
Red line buses were scheduled to leave the stadium every 6 minutes.
Blue line buses were scheduled to leave the stadium every 8 minutes.
if the buses run on schedule, when is the next time a red line and a Blue line bus will leave together?
Answer:
4:24pm
Step-by-step explanation:
To answer this question, we need to find the LCM (Lowest common multiple) of 6 and 8 to find out when they will leave at the same time again.
To do this we can either list all the prime factors of each one and multiply the non-common ones:
6 = 2x3
8 = 2x2x2
2x2x3 = 24
OR we can list the multiples and find the lowest matching ones:
6 => 6, 12, 18, 24, 30
8 => 8, 16, 24, 32, 40
We can see that 24 is the least common factor.
This means that both busses will leave at the same time 24 minutes after 4pm.
Therefore the next time a red line and blue line bus will leave together is 4:24pm.
Hope this helped!
Someone please help
Answer:
C
Step-by-step explanation:
It's not a since the ranges are both 7
The median of the countryside zoo is smaller than the cityside zoo so b is false.
d is incorrect since we established that the medians are different.
A statistician wants to know the average height of all men in the United States (US) ages 18-30. Select all the
sentences that correctly identify the population and sample.
The population is all men in the US.
The population is all men in the US ages 18-30.
The population is all people in the US ages 18-30.
A sample is a selected group of male professional basketball players in the US ages 18–30 from which their
heights were measkred.
A sample is a selected group of men from the top 50 occupations in the US ages 18-30 from which their heights
were measured.
Answer:
The answer on ed 2021
Step-by-step explanation:
B: The population is all men in the US ages 18–30.
and
E: A sample is a selected group of men from the top 50 occupations in the US ages 18–30 from which their heights were measured.
PLEASE HELP ME I NEED THIS TO PASS
Answer:
65°
Step-by-step explanation:
x + 25° = 90°
x = ( 90 - 25 )°
x = 65°