1, A binomial probability experiment is conducted with the given parameters. Compute the probability of x successes in the n independent trials of the experiment.
n=10, p=0.5, x=4
p(4)
(Do not round until the final answer. Then round to four decimal places as needed.)
2, A binomial probability experiment is conducted with the given parameters. Compute the probability of x successes in the n independent trials of the experiment.
p(38)=
(Do not round until the final answer. Then round to four decimal places as needed.)
3, A binomial probability experiment is conducted with the given parameters. Compute the probability of x successes in the n independent trials of the experiment.
n=9, p=0.7, x≤3
The probability of x less than or equals x≤3 successes is nothing.
(Round to four decimal places as needed.)
4, A binomial probability experiment is conducted with the given parameters. Use technology to find the probability of x successes in the n independent trials of the experiment.
n=8, p=0.2, x<4
p(x<4)=
(Round to four decimal places as needed.)
5, A binomial probability experiment is conducted with the given parameters. Compute the probability of x successes in the n independent trials of the experiment.
n=10, p=0.25, x≤4
The probability of x≤4 successes is nothing.
(Round to four decimal places as needed.)
In: Statistics and Probability
Answer the following by using the Excel sheet below:
| Pro Forma | Actual Results | |||||
| Year 2021 | End of 2021 | $ Variance | % Variance | |||
| Revenues | ||||||
| Private Insurance | $ 610,000 | $ 552,750 | $ (57,250) | -9.4% | ||
| Medicare | $ 240,000 | $ 257,040 | $ 17,040 | 7.1% | ||
| Medicaid | $ 30,000 | $ 58,950 | $ 28,950 | 96.5% | ||
| Self-pay | $ 62,500 | $ 32,520 | $ (29,980) | -47.9% | ||
| Total revenue | $ 942,500 | $ 901,260 | $ (41,240) | -4.4% | ||
| Expenses | ||||||
| Salaries and Benefits | $ 702,000 | $ 707,109 | $ (5,109) | -0.7% | ||
| Medical Supplies | $ 140,000 | $ 140,216 | $ (216) | -0.2% | ||
| Administrative Supplies | $ 8,000 | $ 7,526 | $ 474 | 5.9% | ||
| Rent and Utilities | $ 52,000 | $ 52,620 | $ (620) | -1.2% | ||
| Total expenses | $ 902,000 | $ 907,471 | $ (5,471) | -0.6% | ||
| Income/Loss | $ 40,500 | $ (6,211) | $ (35,769) |
In: Finance
Problem 13-7 WACC (LO1)
Examine the following book-value balance sheet for University Products Inc. The preferred stock currently sells for $30 per share and pays a dividend of $3 a share. The common stock sells for $20 per share and has a beta of 0.8. There are 2 million common shares outstanding. The market risk premium is 10%, the risk-free rate is 5%, and the firm’s tax rate is 40%.
| BOOK-VALUE BALANCE SHEET | ||||||||
| (Figures in $ millions) | ||||||||
| Assets | Liabilities and Net Worth | |||||||
| Cash and short-term securities | $ | 2.0 | Bonds, coupon = 5%, paid
annually (maturity = 10 years, current yield to maturity = 6%) |
$ | 10.0 | |||
| Accounts receivable | 6.0 | Preferred stock (par value $10 per share) | 3.0 | |||||
| Inventories | 10.0 | Common stock (par value $0.10) | 0.2 | |||||
| Plant and equipment | 23.0 | Additional paid-in stockholders’ equity | 19.8 | |||||
| Retained earnings | 8.0 | |||||||
| Total | $ | 41.0 | Total | $ | 41.0 | |||
a. What is the market debt-to-value ratio of the firm? (Do not round intermediate calculations. Enter your answer as a percent rounded to 2 decimal places.)
b. What is University’s WACC? (Do not round intermediate calculations. Enter your answer as a percent rounded to 2 decimal places.)
In: Finance
Problem 1
A farm has been experimenting with a special diet for its horses. The feed components for the diet are
a standard feed product, a vitamin-enriched oat product, and a new vitamin and mineral feed additive
(detail below). The minimum daily diet requirements for each horse are 3 units of ingredient A, 6 units
of ingredient B, and 4 units of ingredient C. In addition, to control the weight of the horses, the total
daily feed for a horse should not exceed 6 pounds. The farm would like to determine the minimum-
cost mix that will satisfy the daily diet requirements.
Ingredients [in units] to Produce One Pound of Special Die
|
Feed Component |
Standard |
Enriched Oat |
Additive |
|
Ingredient A |
0.8 |
0.2 |
0.0 |
|
Ingredient B |
1.0 |
1.5 |
3.0 |
|
Ingredient C |
0.1 |
0.6 |
2.0 |
|
Cost Per Pound |
$0.25 |
$0.50 |
$3.00 |
On a separate piece of paper, define the variables and formulate the mathematical model for this problem.
Enter the model into Excel's Solver and solve it. How many pounds of Standard product, Enriched Oat, and Additive should be used in the mix to generate the lowest possible total cost?
Please complete on excel using solver so I can see how to format and what cells to link
In: Math
After a careful evaluation of investment alternatives and opportunities, Masters School Supplies has developed a CAPM-type relationship linking a risk index to the required return (RADR), as shown in the table
LOADING...
.
The firm is considering two mutually exclusive projects, A and B. Following are the data the firm has been able to gather about the projects.
|
Project A |
Project B |
|
|
Initial investment
(CF 0CF0) |
$ 22 comma 000$22,000 |
$ 30 comma 000$30,000 |
|
Project life |
77 years |
77 years |
| Annual
cash inflow
(CF nbspCF ) |
$ 6 comma 000$6,000 |
$ 10 comma 900$10,900 |
|
Risk index |
0.60.6 |
1.61.6 |
All the firm's cash flows for each project have already been adjusted for taxes.
a. Evaluate the projects using risk-adjusted discount
rates.
b. Discuss your findings in part
(a),
and recommend the preferred project.
a. The net present value for project A is
$______
(Round to the nearest cent.)
|
Risk index |
Required return (RADR) |
|
0.0 |
7.1 %7.1% (risk-free rate,Upper R Subscript Upper FRF) |
|
0.2 |
8.0 |
|
0.4 |
8.9 |
|
0.6 |
9.8 |
|
0.8 |
10.7 |
|
1.0 |
11.6 |
|
1.2 |
12.5 |
|
1.4 |
13.4 |
|
1.6 |
14.3 |
|
1.8 |
15.2 |
|
2.0 |
16.1 |
In: Finance
After a careful evaluation of investment alternatives and opportunities, Masters School Supplies has developed a CAPM-type relationship linking a risk index to the required return (RADR), as shown in the table
LOADING...
.
The firm is considering two mutually exclusive projects, A and B. Following are the data the firm has been able to gather about the projects.
|
Project A |
Project B |
|
|
Initial investment
(CF 0CF0) |
$ 23 comma 000$23,000 |
$ 28 comma 000$28,000 |
|
Project life |
77 years |
77 years |
| Annual
cash inflow
(CF nbspCF ) |
$ 7 comma 200$7,200 |
$ 10 comma 300$10,300 |
|
Risk index |
0.20.2 |
1.41.4 |
All the firm's cash flows for each project have already been adjusted for taxes.
a. Evaluate the projects using risk-adjusted discount
rates.
b. Discuss your findings in part
(a),
and recommend the preferred project.
a. The net present value for project A is
$nothing .
(Round to the nearest cent.)
|
Risk index |
Required return (RADR) |
|
0.0 |
7.5 %7.5% (risk-free rate,Upper R Subscript Upper FRF) |
|
0.2 |
8.68.6 |
|
0.4 |
9.79.7 |
|
0.6 |
10.810.8 |
|
0.8 |
11.911.9 |
|
1.0 |
13.013.0 |
|
1.2 |
14.114.1 |
|
1.4 |
15.215.2 |
|
1.6 |
16.316.3 |
|
1.8 |
17.417.4 |
|
2.0 |
18.518.5 |
In: Finance
A highway is to be built between two towns, one of which lies 33.5 km south and 70.8 km west of the other. (a) What is the shortest length of highway that can be built between the two towns, and (b) at what angle would this highway be directed, as a positive angle with respect to due west?
In: Physics
A population of humans contains the following frequencies for the A, B and O alleles at the I blood type locus: A = 0.6, B = 0.2 and O = 0.2. A female of blood type A marries a type B male. What is the probability that they produce an offspring of blood-type AB?
In: Biology
Question 2: Problem solving
Kenneth Brown is the principal owner of Brown Oil, Inc. After quitting his university teaching job, Ken has been able to increase his annual salary by a factor of over 100. At the present time, Ken is forced to consider purchasing some more equipment for Brown Oil because of competition. His alternatives are shown in the following table:
|
Outcomes |
|||
|
Alternative Decisions |
O1: Favorable Market |
O2: Moderate Market |
O3: Unfavorable Market |
|
Sub 100 |
$ 300000 |
$ 150000 |
$ -200000 |
|
Sub 200 |
$ 350000 |
$ 200000 |
$ 200000 |
|
Oil J |
$ 250000 |
$ 100000 |
$ -100000 |
|
Texan |
$ 75000 |
$ 50000 |
$ 0 |
|
Probabilities |
0.2 |
0.5 |
0.3 |
For example, if Ken purchases a Sub 100 and if there is a favorable market, he will realize a profit of $300,000. On the other hand, if the market is unfavorable, Ken will suffer a loss of $200,000. But Ken has always been a very pessimistic decision maker.
If information about the probability of each outcome becomes available to Ken then:
Questions:
4. Find the best decision using the adequate technique.
5. How much Ken should pay to know the perfect information about the market condition?
6. Is it reasonable for Ken to purchase the perfect information about the market outcomes for $20,000? Explain why. (1 Mark)
In: Accounting
Input price and input efficiency
variances
The budgeted and actual data for direct materials and labor are as
follows:
| Budgeted | Actual | |
| DM price | $3 per pound | $2.75 per pound |
| DM quantity per unit | 3 pounds per unit | 4 pounds per unit |
| DL price | $10 per hour | $13 per hour |
| DL quantity per unit | 0.2 hours per unit | 0.3 hours per unit |
Actual sales volume is 100 units. Budgeted sales volume is 80 units.
Compute the input price and input efficiency variances
for DM and DL.
As a preliminary step, compute actual input quantity (total pounds
or hours we actually used) and flexible budget input quantity
(total pounds or hours we should have used for actual
output):
actual input quantity for DM =
___________pounds
flexible budget input quantity for DM = ________
pounds
actual input quantity for DL = __________
hours
flexible budget input quantity for DL =
__________ hours
Next, compute the variances. Enter favorable variances as a
positive number and unfavorable variances as a negative number. Do
NOT enter F or U.
input price variance for DM = $
___________
input efficiency variance for DM = $
____________
input price variance for DL = $ __________
input efficiency variance for DL = $
____________
In: Accounting