The following table represents a plan for a project:

b. Indicate the critical path.

c. What is the expected completion time for the project? (Round your answer to 2 decimal places.)

Expected completion time            days

d. You can accomplish any one of the following at an additional cost of $2,500 and if you will save $1,700 for each day that the earliest completion time is reduced, which action, if any, would you choose?

1. Reduce job 2 by three days.

2. Reduce job 6 by two days.

3. Reduce job 10 by two days.

e. What is the probability that the project will take more than 29 days to complete? (Round your answer to 2 decimal places.)

Probability           

1. Solve using simplex method

2. motor homes express operates two trips between two cities along the coast. motor home A has 30 suites, 20 deluxe cabins and 60 regular cabins whereas motor home B has 15 suites, 30 deluxe cabins and 50 regular cabins. The cost for running motor home A for one trip is $240,000 and the cost for running motor home B for one trip is $350,000. The company estimates that there will be demand for at least 2400 suites, 2800 deluxe cabins and 6800 regular cabins during the season. How many trips should each motor home make to meet the demand and minimize the operating cost? What is the minimum cost?

3. A farmer uses two types of fertilizers. A 50-lb bag of Fertilizer A contains 8 lb of nitrogen, 2 lb of phosphorus and 4 lb of potassium. A 50-lb bag of Fertilizer B contains 5 lb each of nitrogen, phosphorus and potassium. The minimum requirements for a field are 440 lb of nitrogen, 260 ln of phosphorus and 360 lb of potassium. If a 50- lb bag of Fertilizer A costs $30 and a 50-lb bag of Fertilizer B costs $20, find the amount of each type of fertilizer the farmer should use to minimize his cost while still meeting the minimum requirements. What is the minimum cost?

8% of all Americans live in poverty. If 44 Americans are randomly selected, find the probability that

a. Exactly 1 of them live in poverty.   ____
b. At most 5 of them live in poverty. ____  
c. At least 4 of them live in poverty.   ____
d. Between 1 and 7 (including 1 and 7) of them live in poverty.  ____

After inheriting $50,000 you open up two separate brokerage accounts and divide your

inheritance equally in both accounts ($25,000 in each). You use only these funds to

trade in two stocks for two months at the end of which you clear both your positions and

evaluate your performance. Assume the following:

- You pay $50 per transaction (use only your inheritance as source of funds)

- Call money rate is 3.5% (APR compounded daily – 365 days a year)

- Initial margin is 50% and maintenance margin is 30%. The maximum amount in

‘borrowed’ funds is based on the number of ‘whole’ shares.

- Only your equity funds in the short arrangement earn interest.

- Treat each account separately for purposes of this assignment.

On 7/1 you did the following:

1. Buy stock SOFT for $40 (account 1) and short stock XESLA for $250 (account 2)

using initial margin is 50% in each of the two accounts. Provide the following

information (it is advisable to answer 1 and 2 one account at a time):

a. For each account, describe the price change (increase or decrease) that would

be desirable.

b. Number of shares bought/sold of each stock.

c. Amount of money borrowed for the margin trade in each account.

d. The price will you receive a margin call for each account.

2. Suppose you close out of each position at the end of the two months at the following

prices:

a. Suppose SOFT price has increased to $50.

b. Suppose SOFT price has decreased to $30.

c. Suppose XESLA price has increased to $275.

d. Suppose XESLA price has decreased to $225.

For each ending price, evaluate your performance by computing the following:

• The holding period return of each account2

• The annualized holding period return of each account.

3. Assume that you did not pay brokerage fees what would be the difference in

performance in each account in #2 above?

4. Compute the holding period return of the combined accounts (portfolio) when the

prices of the stocks increase (ignore # 3 above).

Problem 16-12
Working Capital Cash Flow Cycle

Strickler Technology is considering changes in its working capital policies to improve its cash flow cycle. Strickler's sales last year were $3,140,000 (all on credit), and its net profit margin was 8%. Its inventory turnover was 7 times during the year, and its DSO was 36 days. Its annual cost of goods sold was $1,750,000. The firm had fixed assets totaling $515,000. Strickler's payables deferral period is 40 days. Assume 365 days in year for your calculations. Do not round intermediate calculations.

1. Calculate Strickler's cash conversion cycle. Round your answer to two decimal places.
        days
   
2. Assuming Strickler holds negligible amounts of cash and marketable securities, calculate its total assets turnover. Round your answer to two decimal places.
        x
   Calculate its ROA. Round your answer to two decimal places.
        %
   
3. Suppose Strickler's managers believe the annual inventory turnover can be raised to 10 times without affecting sale or profit margins. What would Strickler's cash conversion cycle have been if the inventory turnover had been 10 for the year? Round your answer to two decimal places.
        days
   What would Strickler's total assets turnover have been if the inventory turnover had been 10 for the year? Round your answer to two decimal places.
         x
   What would Strickler's ROA have been if the inventory turnover had been 10 for the year? Round your answer to two decimal places.
        %

1. The Nougat Bakery makes cakes for freezing and subsequent sale. The bakery, which operates 6 days a week, 50 weeks a year, can produce cakes at the rate of 100 cakes per day. The bakery sets up the cake-production operation and produces until a predetermined number Q have been produced. When not producing cakes, the bakery uses its personnel and facilities for producing other bakery items. The setup cost for a production run of cakes is $600. The cost of holding frozen cakes in storage is $10 per cake per year. The annual demand for frozen cakes, which is constant over time, is 6000 cakes.  Determine the optimal production run quantity, total annual inventory costs, optimal number of productions runs per year, optimal cycle time (time between run starts), run length in working days.

1.  A manufacturing company is interested in predicting the number of defects that will be produced each hour on the assembly line.  The managers believe that there is a relationship between the defect rate and the production rate per hour.  The managers believe that they can use production rate to predict the number of defects.   The following data were collected for 7 randomly selected hours.

Defects             Production rate/h

2                      40

3                      45

1                      20

3                      40

5                      50

4                      30

6                      50

1. Set up a scatter diagram, and discuss what if any relationship appears to be present between two variables.

2. Use the least-squares method to predict the number of defects when production rate is 60.

3. Interpret the meaning of the regression coefficients in this problem.

4. Compute the standard error of the estimate.

5. At a significance level of .01 can you conclude that production rate is a good predictor of the number defects?

6. Construct a 95% confidence interval for the             population slop.

1.  A manufacturing company is interested in predicting the number of defects that will be produced each hour on the assembly line.  The managers believe that there is a relationship between the defect rate and the production rate per hour.  The managers believe that they can use production rate to predict the number of defects.   The following data were collected for 7 randomly selected hours.

Defects             Production rate/h

2                      40

3                      45

1                      20

3                      40

5                      50

4                      30

6                      50

1. Set up a scatter diagram, and discuss what if any relationship appears to be present between two variables.

2. Use the least-squares method to predict the number of defects when production rate is 60.

3. Interpret the meaning of the regression coefficients in this problem.

4. Compute the standard error of the estimate.

5. At a significance level of .01 can you conclude that production rate is a good predictor of the number defects?

6. Construct a 95% confidence interval for the             population slop.

1) Match the following to their description:

A. Shows the rate at which a study population decreases due to individuals dying or becoming lost to follow-up.

B. Shows mortality experience of all persons born during a particular year.

C. Shows the future life expectancy of persons born during the year, and the remaining life expectancy of persons who have reached a particular age.

1. Cohort Life Table

2. Period Life Table

3. Survival Curves

2. Match the following types of cohort studies to their description:

A. Exposure is collected in the present and individuals are followed into the future to examine outcomes.

B. Exposure is collected from the past and individuals are followed into the present to examine outcomes.

C. Exposure is collected in the present and the past and individuals are followed into the future to examine outcomes.

1. Prospective

2. Retrospective

3. Historical Prospective

3. Match the following elements of an experimental study to their description.

A. The investigator, participant, and/or statistician does not know who has placebo and who has the intervention of interest.

B. Participants start off in either one group or another, then a wash-out period ensues, and then patients are switched to the other group.

C. There is no randomization of subjects into one group or another.

1. Blinding
2. Cross-Over Design

3. Quasi-Experimental

A lightbulb manufacturer wants to estimate the total number of defective bulbs contained in all of the boxes shipped by the company during the past week. Production personnel at this company have recorded the number of defective bulbs found in each of 50 randomly selected boxes shipped during the past week. These data are provided down below. Calculate a 95% confidence interval for the total number of defective bulbs contained in the 1000 boxes shipped by this company during the past week. (Round your answers to a whole number.) Calculate the lower and upper limit.