Project #35302 - Operations Management

Problem 3-2

National Scan, Inc., sells radio frequency inventory tags. Monthly sales for a seven-month period were as follows:

    

 Month

Sales
(000)Units

  Feb.

15

  Mar.

19

  Apr.

10

  May.

22

  Jun.

17

  Jul.

24

  Aug.

30


   

b.

Forecast September sales volume using each of the following:

    

(1)

A linear trend equation.(Round your intermediate calculations and final answer to 2 decimal places.)

   

 Yt

 thousands  

    

(2)

A five-month moving average. (Round your answer to 2 decimal places.)

    

  Moving average

 thousands  

    

(3)

Exponential smoothing with a smoothing constant equal to .40, assuming a March forecast of 19(000). (Round your intermediate calculations and final answer to 2 decimal places.)

    

  Forecast

 thousands  

   

(4)

The naive approach.

    

   Naive approach

 thousands  

    

(5)

A weighted average using .60 for August, .10 for July, and .30 for June. (Round your answer to 2 decimal places.)

     

  Weighted average

 thousands  


rev: 03_15_2012, 05_23_2013_QC_30974

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value:

5.00 points

 

Problem 3-7

Freight car loadings over an 18-week period at a busy port are as follows:

    

Week

Number

Week

Number

Week

Number

1

220

7

350

13

492

2

245

8

360

14

475

3

287

9

382

15

501

4

275

10

380

16

510

5

342

11

446

17

530

6

310

12

450

18

541


   

a.

Determine a linear trend line for expected freight car loadings. (Round your intermediate calculations and final answers to 3 decimal places.)

   

   =  +  t

     

b.

Use the trend equation to predict expected loadings for weeks 23 and 24. (Round your intermediate calculations and final answers to 3 decimal places.)

   

 

The forecasted demand for week 23 and 24 is  and  respectively.

 

    

c.

The manager intends to install new equipment when the volume exceeds 786 loadings per week. Assuming the current trend continues, the loading volume will reach that level in approximately how many more weeks? (Round your intermediate calculations to 3 decimal places and final answer to the nearest whole number.)

    

  It would take approximately  more weeks.


rev: 02_25_2012, 03_15_2012, 01_31_2013_QC_25862, 09_05_2013_QC_34423

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.

value:
5.00 points

 

Problem 3-13

The manager of a fashionable restaurant open Wednesday through Saturday says that the restaurant does about 25 percent of its business on Friday night, 33 percent on Saturday night, and 22 percent on Thursday night. What seasonal relatives would describe this situation?(Round your answers to 2 decimal places.)

    

 

 

  Wednesday

  

  Thursday

  

  Friday

  

  Saturday

  



rev: 03_15_2012

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5.00 points

 

Problem 3-20

An analyst must decide between two different forecasting techniques for weekly sales of roller blades: a linear trend equation and the naive approach. The linear trend equation is Ft = 127 + 1.9t, and it was developed using data from periods 1 through 10. Based on data for periods 11 through 20 as shown in the table, which of these two methods has the greater accuracy if MAD and MSE are used? (Round your answers to 2 decimal places.)

      

t

Units Sold

11

145

12

148

13

148

14

144

15

154

16

149

17

153

18

157

19

159

20

162


       

  

 

  MAD (Naive)

  

  MAD (Linear)

  

  MSE (Naive)

  

  MSE (Linear)

  


     

   provides forecasts with less average error and less average squared error.


rev: 03_15_2012, 01_04_2013

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Problem 3-24

Timely Transport provides local delivery service for a number of downtown and suburban businesses. Delivery charges are based on distance and weight involved for each delivery: 20 cents per pound and 10 cents per mile. Also, there is a $40 handling fee per parcel.

    

a.

Develop an expression that summarizes delivery charges. (Round your answers to 2 decimal places. Omit the "$" sign in your response.)

   

  y = $  x1 + $  x2 + $   

   

b.

Determine the delivery charge for transporting a 30-pound parcel 30 miles. (Do not round your intermediate calculation. Round your answer to 2 decimal places. Omit the "$" sign in your response.)

    

  y = $   


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Problem 2-1

A catering company prepared and served 335 meals at an anniversary celebration last week using eleven workers. The week before, six workers prepared and served 250 meals at a wedding reception.

   

a1.

Calculate the labor productivity for each event. (Round your answers to 1 decimal place.)

   

  Anniversary

  

meals/worker

  Wedding

  

meals/worker

    

a2.

For which event was the labor productivity higher?

 

   

 

Anniversary

Wedding


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Problem 2-4

A company that makes shopping carts for supermarkets and other stores recently purchased some new equipment that reduces the labor content of the jobs needed to produce the shopping carts. Prior to buying the new equipment, the company used 7 workers, who produced an average of 70 carts per hour. Workers receive $14 per hour, and machine cost was $30 per hour. With the new equipment, it was possible to transfer one of the workers to another department, and equipment cost increased by $11 per hour while output increased by 5 carts per hour.

    

a.

Compute labor productivity under each system. Use carts per worker per hour as the measure of labor productivity. (Round your answers to 2 decimal places.)

    

  Before

  carts per worker per hour

  After

  carts per worker per hour

   

b.

Compute the multifactor productivity under each system. Use carts per dollar cost (labor plus equipment) as the measure. (Round your answers to 2 decimal places.)

    

  Before

  

carts/$1

  After

  

carts/$1

    

c.

Comment on the changes in productivity according to the two measures. (Round your intermediate calculations and final answers to 2 decimal places. Omit the  "%" signs in your response.)

    

  Labor productivity

 by  %

  Multifactor productivity

 by  %


rev: 03_15_2012

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Problem 2-5

An operation has a 30 percent scrap rate. As a result, 64 pieces per hour are produced. What is the potential increase in labor productivity that could be achieved by eliminating the scrap? (Round your intermediate calculations to 3 decimal places and final answer to 1 decimal place. Omit the "%" sign in your response.)

    

  This would amount to an increase of

 %  


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roblem 4S-5

The guidance system of a ship is controlled by a computer that has three major modules. In order for the computer to function properly, all three modules must function. Two of the modules have reliabilities of .99, and the other has a reliability of .96.

   

a.

What is the reliability of the computer? (Round your answer to 4 decimal places.)

  

  Reliability

  

   

b.

A backup computer identical to the one being used will be installed to improve overall reliability. Assuming the new computer automatically functions if the main one fails, determine the resulting reliability. (Round your intermediate calculations and final answers to 4 decimal places.)

  

  Reliability

  

   

c.

If the backup computer must be activated by a switch in the event that the first computer fails, and the switch has a reliability of .96, what is the overall reliability of the system? (Both the switch and the backup computer must function in order for the backup to take over.) (Round your intermediate calculations and final answers to 4 decimal places.)

   

  Reliability

  

Problem 4S-19

Determine the availability for each of these cases:

    

a.

MTBF = 55 days, average repair time = 3 days.(Round your answer to 2 decimal places.)

   

  Availability   

  

   

b.

MTBF = 350 hours, average repair time = 10 hours.(Round your answer to 2 decimal places.)

    

  Availability   

  


rev: 03_15_2012

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