Burlington Mills produces denim cloth that it sells to jeans manufacturers. It is negotiating a new contract to provide cloth on a weekly basis to BJ Jeans. The demand for cloth from BJ Jeans is expected to vary each week according the following discrete probability distribution:
Demand (yd)
0 0.05
100 0.15 200 0.40 300 0.30 400 0.10
Burlington’s plant capacity available for this new job will vary each week because of other commitments and occasional breakdowns. Burlington estimates that available capacity will vary from 100 to 500 yards and follow a Uniform probability distribution (see note below).
Simulate the performance of the Burlington plant for 20 weeks. You may manually write your results provided your work is clear, neat, and easy to read. Attach your simulation to the Managerial Report.
Using your simulation results, determine the following:
Average weekly demand for cloth from BJ Jeans.
Average weekly available capacity for this contract at the Burlington plant.
Number of weeks that demand exceeds available plant capacity. Based on this result, also
calculate the probability that demand will exceed available capacity.
Probability
Page 2 of 3
NOTE:
A Uniform probability distribution is one for which any value in a number interval is equally likely. In the Burlington example, then, available capacity will vary from 100 to 500 yards, with any value in this interval as probable as any other.
Since the calculator’s rand function returns a random real number from a Uniform distribution between 0.0 and 1.0, we can use it to model any Uniform distribution:
Low Value + rand*(High Value – Low Value)
For example, the weekly available capacity for the BJ Jeans contract varies uniformly from 100 to 500 yards. If in the simulation of some week, the rand function generates a value of 0.3486, then for that week the randomly selected available capacity will be:
100 + 0.3486*(500 – 100) = 239.44 yards
In: Statistics and Probability
| Determination of heat capacity of calorimeter | trial 1 | trial 2 | trial 3 |
| volume of cool water | 50.0 mL | 50.0mL | 50.0mL |
| volume of warm water | 50.0 mL | 50.0 mL | 50.0 mL |
| initial temp of cool water=initial calorimeter temp | 25.2 C | 25.5 C | 25.5 C |
| initial temp of warm water | 35.2 C | 40.9 C | 37.1 C |
| final temp of water in calorimeter | 32.5 C | 32.9 C | 30.9 C |
| Enthalpy of Neutralization | Trial 1 | trial 2 | trial 3 |
| volume of 2.0 M HCl | 50.0 mL | 50.0 mL | 50.0 mL |
| volume of 2.0 M NaOH | 50.0 mL | 50.0 mL | 50.0 mL |
| initial temperature HCl | 24.5 C | 24.9 C | 25.1 C |
| Initial temperature NaOH | 25.6 C | 25.5 C | 25.6 C |
| Final temperature | 35.7 C | 35.9 C | 35.9 C |
| Enthalpy of Dissolution of Calcium in Acid | Trial 1 | trial 2 | trial 3 |
| Mass of Ca(s) | 0.5 g | 0.5 g | 0.5 g |
| Volume of 1.0 M HCl | 50.0 mL | 50.0 mL | 50.0 mL |
| initial temperture | 25.8 C | 27.0 C | 26.4 C |
| final temperature | 45.7 C | 45.9 C | 46.2 C |
| Enthalpy of dissolution of calcium in water | trial 1 | trial 2 | trial 3 |
| Mass of Ca(s) | 0.5 g | 0.5 g | 0.5 g |
| volume of water | 50.0 mL | 50.0 mL | 50.0mL |
| initial temp | 25.6 C | 25.7 C | 25.6 C |
| final temp | 48.5 C | 48.4 C | 51.1 C |
*Calculate the heat capacity of the calorimeter
*Calculate the enthalpy of the neutralization reaction in kJ/mol
*calculate the enthalphy of dissolution of Ca in acid in kJ/mol
* calculate the enthalphy of dissolution of Ca in water in kJ/mol
In: Chemistry
As a dialysis patient, Michelle has a 4-h dialysis treatment three times a week. When she arrives at the dialysis clinic, her weight, temperature, and blood pressure are taken and blood tests are done to determine the level of electrolytes and urea in her blood. In the dialysis center, tubes to the dialyzer are connected to the catheter she has had implanted. Blood is then pumped out of her body, through the dialyzer where it is filtered, and returned to her body. As Michelle's blood flows through the dialyzer, electrolytes from the dialysate move into her blood, and waste products in her blood move into the dialysate, which is continually renewed. To achieve normal serum electrolyte levels, dialysate fluid contains sodium, chloride, and magnesium levels that are equal to serum concentrations. These electrolytes are removed from the blood only if their concentrations are higher than normal. Typically, in dialysis patients, the potassium ion level is higher than normal. Therefore, initial dialysis may start with a low concentration of potassium ion in the dialysate. During dialysis, excess fluid is removed by osmosis. A 4-h dialysis session requires at least 120 L of dialysis fluid. During dialysis, the electrolytes in the dialysate are adjusted until the electrolytes have the same levels as normal serum. Initially the dialysate solution prepared for Michelle's pre-dialysis blood tests shows that the electrolyte levels in her blood are as follows:
HCO3− 24 mEq/L, K+ 6.0 mEq/L, Na+148 mEq/L, Ca2+ 3.0 mEq/L, Mg2+ 1.0 mEq/L, Cl− 111.0 mEq/L.
A dialysis solution is prepared for Michelle that contains the following:
HCO3− 35.0 mEq/L , K+ 3.0 mEq/L , Na+ 120.0 mEq/L , Ca2+ 5.5 mEq/L , Mg2+ 3.0 mEq/L , Cl− 96.5, glucose 5.0%(m/v).
Question: What is the osmolarity of the dialysate fluid?
Express your answer using two decimal places.
In: Chemistry
As a dialysis patient, Michelle has a 4-h dialysis treatment three times a week. When she arrives at the dialysis clinic, her weight, temperature, and blood pressure are taken and blood tests are done to determine the level of electrolytes and urea in her blood. In the dialysis center, tubes to the dialyzer are connected to the catheter she has had implanted. Blood is then pumped out of her body, through the dialyzer where it is filtered, and returned to her body. As Michelle's blood flows through the dialyzer, electrolytes from the dialysate move into her blood, and waste products in her blood move into the dialysate, which is continually renewed. To achieve normal serum electrolyte levels, dialysate fluid contains sodium, chloride, and magnesium levels that are equal to serum concentrations. These electrolytes are removed from the blood only if their concentrations are higher than normal. Typically, in dialysis patients, the potassium ion level is higher than normal. Therefore, initial dialysis may start with a low concentration of potassium ion in the dialysate. During dialysis, excess fluid is removed by osmosis. A 4-h dialysis session requires at least 120 L of dialysis fluid. During dialysis, the electrolytes in the dialysate are adjusted until the electrolytes have the same levels as normal serum. Initially the dialysate solution prepared for Michelle's pre-dialysis blood tests shows that the electrolyte levels in her blood are as follows:
HCO3− 24 mEq/L, K+ 6.0 mEq/L, Na+ 148 mEq/L, Ca2+ 3.0 mEq/L, Mg2+ 1.0 mEq/L, Cl− 111.0 mEq/L.
A dialysis solution is prepared for Michelle that contains the following:
HCO3− 30.0 mEq/L , K+ 2.0 mEq/L , Na+ 120.0 mEq/L , Ca2+ 5.0 mEq/L , Mg2+ 3.5 mEq/L , Cl− 100.5, glucose 5.0% (m/v).
What is the osmolarity of the dialysate fluid?
Express your answer using two decimal places.
In: Chemistry
|
Year |
Potential Real GDP |
Real GDP |
Price Level |
Federal Funds Rate |
|
2006 |
$15.3 trillion |
$15.3 trillion |
90.1 |
5.0% |
|
2007 |
$15.6 trillion |
$15.6 trillion |
92.5 |
5.0% |
|
2008 |
$15.9 trillion |
$15.6 trillion |
94.3 |
1.9% |
|
2009 |
$16.1 trillion |
$15.2 trillion |
95.0 |
0.2% |
|
2010 |
$16.3 trillion |
$15.6 trillion |
96.1 |
0.2% |
|
2011 |
$16.5 trillion |
$15.8 trillion |
98.1 |
0.1% |
|
2012 |
$16.7 trillion |
$16.2 trillion |
100.0 |
0.1% |
|
2013 |
$17.0 trillion |
$16.5 trillion |
101.6 |
0.1% |
|
2014 |
$17.3 trillion |
$16.9 trillion |
103.6 |
0.1% |
|
2015 |
$17.6 trillion |
$17.4 trillion |
104.7 |
0.1% |
|
2016 |
$17.9 trillion |
$17.7 trillion |
106.8 |
0.4% |
|
2017 |
$18.2 trillion |
$18.1 trillion |
107.8 |
1.0% |
|
2018 |
$18.5 trillion |
$18.6 trillion |
110.4 |
1.8% |
a) Does the AD curve shift to the right more or less than the LRAS curve in a dynamic AD-AS model from 2006 to 2007? Explain why verbally.
b) Explain why the Federate Funds Rate declines from 2007 to 2009 using Taylor Rule. Based on the Federate Funds Rate data in the table, explain the limitation of monetary policy that is implemented through open market operation during severe recession.
c) Suppose a military operation that costs $200 billion in 2011 can help the real GDP recover to $16.2 trillion one year earlier. What is the minimal required MPC of households in the Aggregate Expenditure model if there is no tax wedge on household income? What if the tax wedge is 1/3 of the pretax household income? What is the difference between the answer based on the Aggregate Expenditure model and the answer based on the static AD-AS model.
d) There was large fiscal stimulus during 2009-2011. People believe that fiscal stimulus is more powerful in 2011 compared to 2017. Explain why this can be true using the Federal Funds Rate data.
In: Economics
Problem 7-17 Comparing Traditional and Activity-Based Product Margins [LO7-1, LO7-3, LO7-4, LO7-5]
Smoky Mountain Corporation makes two types of hiking boots—the Xtreme and the Pathfinder. Data concerning these two product lines appear below:
| Xtreme | Pathfinder | |||||
| Selling price per unit | $ | 128.00 | $ | 90.00 | ||
| Direct materials per unit | $ | 63.10 | $ | 50.00 | ||
| Direct labor per unit | $ | 12.00 | $ | 8.00 | ||
| Direct labor-hours per unit | 1.5 | DLHs | 1.0 | DLHs | ||
| Estimated annual production and sales | 20,000 | units | 70,000 | units | ||
The company has a traditional costing system in which manufacturing overhead is applied to units based on direct labor-hours. Data concerning manufacturing overhead and direct labor-hours for the upcoming year appear below:
| Estimated total manufacturing overhead | $ | 2,100,000 | ||
| Estimated total direct labor-hours | 100,000 | DLHs | ||
Required:
1. Compute the product margins for the Xtreme and the Pathfinder products under the company’s traditional costing system.
2. The company is considering replacing its traditional costing system with an activity-based costing system that would assign its manufacturing overhead to the following four activity cost pools (the Other cost pool includes organization-sustaining costs and idle capacity costs):
| Estimated Overhead Cost |
Expected Activity | |||||
| Activities and Activity Measures | Xtreme | Pathfinder | Total | |||
| Supporting direct labor (direct labor-hours) | $ | 745,000 | 30,000 | 70,000 | 100,000 | |
| Batch setups (setups) | 612,000 | 200 | 160 | 360 | ||
| Product sustaining (number of products) | 700,000 | 1 | 1 | 2 | ||
| Other | 43,000 | NA | NA | NA | ||
| Total manufacturing overhead cost | $ | 2,100,000 | ||||
Compute the product margins for the Xtreme and the Pathfinder products under the activity-based costing system.
3. Prepare a quantitative comparison of the traditional and activity-based cost assignments.
In: Accounting
Ross Co., Westerfield, Inc., and Jordan Company announced a new agreement to market their respective products in China on July 18, February 12, and October 7, respectively. Given the information below, calculate the cumulative abnormal return (CAR) for these stocks as a group. Assume all companies have an expected return equal to the market return. (A negative value should be indicated by a minus sign. Leave no cells blank - be certain to enter "0" wherever required. Do not round intermediate calculations. Round your answers to 1 decimal place.)
| Ross Co. | Westerfield, Inc. | Jordan Company | ||||||||
| Date | Market Return |
Company Return |
Date | Market Return |
Company Return |
Date | Market Return |
Company Return |
||
| July 12 | −.3 | −.8 | Feb 8 | −.3 | −.8 | Oct 1 | .5 | .6 | ||
| July 13 | .3 | .4 | Feb 9 | −.6 | −.8 | Oct 2 | .4 | .6 | ||
| July 16 | .4 | .6 | Feb 10 | .4 | .6 | Oct 3 | .7 | 1.3 | ||
| July 17 | −.6 | −.2 | Feb 11 | .6 | 1.2 | Oct 6 | −.1 | −.7 | ||
| July 18 | −1.7 | 1.3 | Feb 12 | −.1 | .1 | Oct 7 | −2.2 | −.7 | ||
| July 19 | −1.0 | −.4 | Feb 15 | 1.1 | 1.6 | Oct 8 | .1 | .5 | ||
| July 20 | −.9 | −1.2 | Feb 16 | .7 | .5 | Oct 9 | −.5 | −.6 | ||
| July 23 | .6 | .4 | Feb 17 | −.1 | .0 | Oct 10 | .1 | −.1 | ||
| July 24 | .3 | .0 | Feb 18 | .7 | .4 | Oct 13 | −.5 | −.6 | ||
Abnormal returns (Ri-RM)
| Days from announcement | Ross | W'field | Jordan | Sum | Average abnormal return | Cumulative average residual |
| -4 | ||||||
| -3 | ||||||
| -2 | ||||||
| -1 | ||||||
| 0 | ||||||
| 1 | ||||||
| 2 | ||||||
| 3 | ||||||
| 4 |
In: Finance
Unsure how to set this up properly in excel?
Assignment #6
The Nimble Digits Division of Block C Enterprises manufactures computer furniture and accessories.At the present time 15 different components are being produced.Each product is some combination of steel, plastic, wood, aluminum and formica.The availability of these component materials is 980 pounds of steel alloy, 400 sq ft of plastic, 600 bd ft of wood, 2500 pounds of aluminum, 1800 bd ft of Formica and labor is limited to 1000 hours.Given the data below, determine how many of each item should be produced to maximize the profit.Also determine how the profit would change if the monthly demand for all items with an a through e prefix is eliminated.
Item a158 requires 0.4 sq ft of plastic, 0.7 bd ft of wood, 5.8 pounds of aluminum, 10.9 bd ft of Formica and 3.1 hours of labor.There is no minimum monthly demand and this item's contribution to the profit is $18.79.
Item b179 requires 4 pounds of steel, 0.5 sq ft of plastic, 1.8 bd ft of wood, 10.3 pounds of aluminum, 2.0 bd ft of Formica and 1.0 hours of labor.The minimum monthly demand is 20 and this item's contribution to the profit is $6.31.
Item c023 requires 6 pounds of steel, 1.5 bd ft of wood, 1.1 pounds of aluminum, 2.3 bd ft of Formica and 1.2 hours of labor.The minimum monthly demand is 10 and this item's contribution to the profit is $8.19.
Item d045 requires 10 pounds of steel, 0.4 sq ft of plastic, 2.0 bd ft of wood, and 4.8 hours of labor.The minimum monthly demand is 10 and this item's contribution to the profit is $45.88.
Item e388 requires 12 pounds of steel, 1.2 sq ft of plastic, 1.2 bd ft of wood, 8.1 pounds of aluminum, 4.9 bd ft of Formica and 5.5 hours of labor.There is no minimum monthly demand and this item's contribution to the profit is $63.00.
In: Accounting
Gardems was recently hired as a financial analyst by Taylor, Inc., which is a Pennsylvania based company. His first task is to conduct a financial statement analysis of firm covering the past 2 years as in the table below:
Q:Assess the firm's liquidity position.
| Balance Sheets | 2012 | 2011 |
| Cash | $52,000 | $57,000 |
| Accounts Receivable | $402,000 | $351,200 |
| Inventory | $836,000 | $715,200 |
| Total Current Assets | $1,290,000 | $1,124,000 |
| Gross Fixed Assets | $527,000 | $491,000 |
| Less: Accumulated Depriciation | $166,200 | $146,200 |
| Net Fixed Assets | $360,800 | 344,800 |
| Total Assets | $1,650,800 | $1,468,800 |
| Accounts Payable | $175,200 | $145,600 |
| Notes Payable | $225,000 | $200,000 |
| Accruals | $140,000 | $136,000 |
| Total current liabilities | $540,200 | $481,600 |
| Long-term debt | $424,612 | $323,432 |
| Common Stock | $460,000 | $460,000 |
| Retained Earnings | $225,988 | $203,768 |
| Total Equity | $685,988 | $633,768 |
| Total Claims | $1,650,800 | $1,468,800 |
| INCOME STATEMENTS | ||
| Sales | $3,850,000 | $3,432,000 |
| Cost of Goods Sold | $3,250,000 | $2,864,000 |
| Other expenses | $430,300 | $340,000 |
| Depreciation | $20,000 | $18,900 |
| EBIT | $149,700 | $209,100 |
| Interest expense | $76,000 | $62,500 |
| Taxes (40%) | $29,480 | $58,640 |
| Net Income | $44,220 | $87,960 |
| OTHER DATA | ||
| December 31 stock price | $6.00 | $8.50 |
| Number of Shares Outstanding | 100,000 | 100,000 |
| Dividend per Share | $0.22 | $0.22 |
| Annual Lease Payment | $40,000 | $40,000 |
| Earnings per Share | $0.442 | $0.880 |
Gardems also developed the following industry average data for 2012:
| Ratio | Industry Average |
| Current | 2.7 |
| Quick | 1.0 |
| Inventory Turnover | 7.0 |
| Days sales outstanding (DSO) | 32.0 days |
| Fixed asset turnover | 10.7 |
| Total asset turnover | 2.6 |
| Debt ratio | 50.0% |
| Times Interest Expense | 2.5 |
| Profit margin | 3.5% |
| Basic earning power | 19.1% |
| ROA |
9.1% |
| ROE | 18.2% |
| P/E | 14.2 |
In: Finance
Assume that you recently graduated and you just landed a job as a financial planner with the Cleveland Clinic. Your first assignment is to invest $100,000. Because the funds are to be invested at the end of one year, you have been instructed to plan for a one-year holding period. Further, your boss has restricted you to the following investment alternatives, shown with their probabilities and associated outcomes.
|
State of Economy |
Probability |
T-Bills |
Alta Inds. |
Repo Men |
American Foam |
Market Port. |
|
Recession |
0.1 |
8.00% |
-22.0% |
28.0% |
10.0% |
-13.0% |
|
Below Average |
0.2 |
8.00% |
-2.0% |
14.7% |
-10.0% |
1.0% |
|
Average |
0.4 |
8.00% |
20.0% |
0.0% |
7.0% |
15.0% |
|
Above Average |
0.2 |
8.00% |
35.0% |
-10.0% |
45.0% |
29.0% |
|
Boom |
0.1 |
8.00% |
50.0% |
-20.0% |
30.0% |
43.0% |
Barney Smith Investment Advisors recently issued estimates for the state of the economy and the rate of return on each state of the economy. Alta Industries, Inc. is an electronics firm; Repo Men Inc. collects past due debts; and American Foam manufactures mattresses and various other foam products. Barney Smith also maintains an "index fund" which owns a market-weighted fraction of all publicly traded stocks; you can invest in that fund and thus obtain average stock market results. Given the situation as described, answer the following questions.
a. Calculate the expected rate of return on each alternative.
b. Calculate the standard deviation of returns on each alternative.
c. Calculate the coefficient of variation on each alternative.
d. Calculate the beta on each alternative.
e. Do the SD, CV, and beta produce the same risk ranking? Why or why not?
f. Suppose you create a two-stock portfolio by investing $50,000 in Alta Industries and $50,000 in Repo Men. Calculate the expected return, standard deviation, coefficient of variation, and beta for this portfolio. How does the risk of this two-stock portfolio compare with the risk of the individual stocks if they were held in isolation?
In: Finance