Homework 1 Fall 2011

Homework 1 Fall 2011 - Homework #1 — Worked Out Answers...

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Unformatted text preview: Homework #1 — Worked Out Answers Chapter 1 No Homework Problems Chap_ter 2 1. Value Index You have just graduated from college and are looking to buy your first car. Money is tight right now, so you are concerned about initial cost as well as ongoing expenses. At the same time, you don’t want to drive a slow, ugly car like your parents and professors. You have narrowed your choices down to two vehicles: a Honda Enigma and a Porsche Booster. Based on the numbers below, calculate the value index for each car. Which car provides you Withthe greatest value? Perfo nuance of the Performance of the mm W W W Fuel Economy 4 4 2 Rellablllty 3 5 3 Speed 2 3 5 Aestheti 4 2 5 After-sales support 1 5 4 Purchase Price 5 4 1 2. Order Qualifiers and Order Winners A Chicago based manufacturer is looking for someone to handle its shipments to the West Coast. In order to evaluate potential transportation providers, the manufacturer has developed the following criteria: As a minimum level of performance, a shipper must be able to a. Pick up shipments in 5 hours or less from the time they are notified b. Deliver shipments in 3 days or less Beyond these, the performance dimensions which will differentiate the transportation providers are cost and percentage of shipments undamaged. Three shippers bid on the business. The performance informafioghovm in the chartbfl A Dimenslon Bozarth Warsth "mega Pick up time 6 Hours 2 Hours 3 Hours Delivery time 3 Days 1 Day 2 Days Cost per 100 pounds $10 $8 $4 % Shlpments undamaged 94% 98% 99% Draw an order qualifier/order winner chart similar to the Chemical Supplier example in the lecture notes (and the examples in the book). Which supplier wins the business? l: —& A 46A m w é gkaw 5: 349a,; 0! dc r aval-‘Ffu s 0/9?“ WA. A 4 rf ~ "‘ r k: :a : Mc£(¢,,7 (VI-t; : Muh/Efiuc/t ardel fuel/«1"elf’ Lam‘s lat/4,554} 01., are/er winner! . BDZar-I'A [.‘ggva/[fm/ £‘CWK 6 hour (.2, L (If {'I‘I‘IM Execs/f 5 l/wvr ftfu I‘I‘C M6354— . Chapter 3 1. Productivity . . . . . 00* '4' You are trying to analyze the produchvrty of each of your sales regions. Given the a I“. information below, what is the productivity of each of the regions? Which region is most productive? Which region is least productive? files § [‘1‘ {ca/£51.“, (, OH 1' rapt/T ‘ . ion Sales $3 ifl‘llnllllons Number of Salespeople Pr ’0’“ 9‘4" V' +7 1 15 6 3 , 5' 2 38 7 {.‘1 3 31 9 3.“! Lust 12 8 (.s' Leer!- host 9 54 7 1.1 M .954. 6 33 5 6.5 7 41 8 SJ 3 27 6 ‘I .5' 0w + p u f’ a! 1‘ a : “ PrOJ 0* U ‘19 Tnpu+ 2. Process Mapping A fast food restaurant currently has a process in which the cashier takes the customer’s order (20-30seconds),~gets thedrinks (50-70seeonds),~gathersthe food andputs iron the tray (60-90 seconds) and takes the customer’s money (20-30 seconds). Draw the process. What is the minimum cycle time? What is the maximum cycle time? ‘_ a a- Zfl'3og “30‘ 5.9 7 s 6 7o; Mavmfihn (9“: 3 (10+ 9a + ‘04- 3.0)Jawg 2 ISO second: Mae-(«WM éytle 5 (Sat-70+ €0+3o)$eu-Jg 1 220 :C-éoné?‘ The fast food restaurant would like to get the customer through the process quicker. They have added a person who, in a parallel process, will gather the food and put it on the tray immediately afier the cashier takes the customer’s order. The cashier will continue to get the drinks and take the customer’s money (just like Wendy’s or McDonald’s). Draw the new process. What is the new minimum cycle time? What is the new maximum cycle time? Mra = (20 +70)55¢_= fip5ec. Mo: :: (30+l00)§¢¢ t /30:£6. Chapter 4 1. ColaCo has a target of 16.00 ounces of liquid for each of their cans of soda. The current process is producing cans of soda with a mean of 16.03 ounces and a standard deviation of .03 mmces. What is the process capability if the upper tolerance limit is 16.1 and the lower tolerance limit is 15.9 ounces assuming a 99.7% quality level is required (+/- 3 standard deviations)? Is the process capable? imm‘lzryd 35mm (H): [503 v54 CMmL C, ib.l‘)?~i3'fl 2‘9.03 ’Q./‘/Q.05 Eve’s UTL-H ._ 't 2-————— WW» ) “:1 ,733: 073 < i «a. “9+ [OJ-4.003;; CQ/VQLI‘C 2. ColaCo has now worked to improve their manufacturing process. The improved process is producing cans of soda with a mean of 16.00 ounces and a standard deviation of .02 ounces. What is the process capability if the upper tolerance limit is 16.1 and the lower tolerance limit is 15.9 ounces assuming a 99.7% quality level is required? Is the process capable? [Exams 72,77,945 40444-4144.): [6,00 ,3, [/Sa [0 __ V’rL- LTL _ [G ,_]§.¢y u '24) - CPI (o{ ’ é».02 ' all ' "4’7 >1 3. LensLabs produces contact lenses. The company has randomly sampled lenses while the process was of high quality (lenses met quality checks) and the process was under control. They took six samples per day for 7 days. Use the data below to calculate the grand mean (X double bar) and the average range (round all values to the nearest hundredth). ControlLimitChartfori n: (a 9 A3: H8 D3=o b‘f=2.00 may: Emmi = m +(.v7x .29): 3.44 g; 3.9 : Lax: f-Agxé' : gay-(H3239) =' 8.32. V ~_ Control Limit Chart forR x uu.It .{1 — 1.002.3v=.é5’ 4. Afier setting up the control charts, you want to make sure your process remains in control. You continue to sample 6 lenses per day for the next 5 days. Plot the results below on the charts you developed on the prior page. Is yom' process still in control? If not, on which day(s) is your process out of control? N9, {31296895 rw‘f AIL LO‘L'I’I0( 0A Da17€4‘+/(- Day x R mix-m5; mil-Km mien-az- mumm- 5. You are running a call center and want to provide good customer service. Customer surveys have shown that if customers need to wait more than 20 seconds before a represtative answers the phone, they find the experience to be unsatisfactory. To evaluate the quality of the service, you take a random sample of 50 calls per day for 4 days while the process is in control. (Round answers to the nearest hundredth unless otherwise noted) Day Calls over 20 see. p 1 2 .0? -—-> (2/5 a) 2 3 .06 “9 (3/5’0) 3 1 ,0). a (Vs-a) 4 2 '_W_‘> (74W) Sum ofp a I b Calculate 3) (average p) and Sp (romd Sp to the nearest thousandth) Draw the Control Chart for p (U CLp, LCLP) UCL£= E +35E= ,01/+(3k.093)=.119 z) )2.‘{"/., LCLf: $~3§P: ,9V‘(3“,023):”.0qL/:;0 or 07.: 6. After setting up the control chart, you continue to take 50 samples each day for Days 5-8 and collect the following data: Day Calls over 20 sec. P 5 2 ml! 6 ;’ JD] -9 Iva/o >1>~V75 4" @u'F 03¢ dau'l‘wl 7 '2, 8 1 ":7, 0'» Day é, Is your process still in control? Ifnot, which day(s) are out of control, if any? Chapter 5 I. Afier graduation, you and your friends decide to start a website. As the VP of Operations, you are in charge of managing the project to get the website up and running. Of course, everyone wants to know when the project will be done so you can launch the website and make millions of dollars while floating in a large pool on a rafi with a cool beverage. You have identified the activities, how long each of the activities will take and a a Duration Acflvl eeks) Predeeeasors A - Consult with Engineering 2 None B - Determine Equipment Layout 4 A C ~ Order Test Material 4 A D - Install Equipment 6 B E - Test Equipment 2 c F - Train Employees 3 D, E G - Perform Pilot R 1 F at! L I! F on we was: 9 g a; as 9. You and your friends realize that if you could shorten the project time above, you could hit the pool much sooner. You decide to invest some extra dollars to shorten the project time by 2 weeks. What is the most economical manner to “crash” the project by 2 weeks given the information below (which activity(ies) would you crash, how many weeks each and what is the total cost)? # Weeks Activity Gan Activl Be Crashed Cost r Week A - Consult with Engineering 0 NIA B - Determine Equipment Layout 0 - Install Equipment D - Older Test Material E - Test Equipment F - Train Employees G - Perfolm Pilot Runs $100 @g) C W£+ +9 350 I week) 2 1 1 1 O NIA 1 [raskb "wuk z 1:200 W OMB 1W“: 1.....30" / 4‘ 5'00 ...
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This note was uploaded on 10/27/2011 for the course BUS 370 taught by Professor Favre during the Fall '08 term at N.C. State.

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Homework 1 Fall 2011 - Homework #1 — Worked Out Answers...

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