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Unformatted text preview: MAN4504
Exam 4 Do not open the exam until instructed to do so, please. 1. This page. la. Print your name and UFID number in the spaces provided below, and sign
your name on the signature line, please. 2. Bubble sheet. 2a. 2b. 20. 3. Exam. 3a. 3b. In the lefthand column print and bubble in your name and UFID
number. In the righthand column print and bubble in C for Test F orm Code. The boxes marked Special Codes and Section are to be left blank. This exam lasts for 2 hours. Blank scratch sheets to use as you desire are attached at the rear of the
exam. 4. When you ﬁnish. 4a. Before turning in your exam, check for transcribing errors. Any mistakes
you leave in are, most regrettably, there to stay.
4b. Show this exam paper and your picture ID. when you turn in the bubble
sheet.
40. Answers will be posted on the ISOM bulletin board next to room 103 Stuzin
and on the internet after the end of the exam.
NAME (Please Print) UNIVERSITY OF FLORIDA ID # SIGNATURE 1. A job shop has four departments, milling (M), drilling (D), ﬁnishing (F), and plating
(P), to be assigned to four work locations 1, 2, 3, and 4. The operations manager has
gathered the following data for this job shop. 100 of Workpiece Movements Between Distances, in Feet, Between Work
Department Per Year Locations
M D F P
M 2 l
D 2 2
F 8 3
P  —— —— —— 4 It cost $0.50 to move one workpiece one foot in this job shop. The operations manager
has initiated the CRAFT procedure to find a layout, if possible, with a small material
handling cost. His results so far are as follows. WORK LOCATION
l 2 3 4 Cost
D F M P $15,200 #WNr—A What is the material handling cost of the layout the CRAFT would generate as trail
layout No. 2? (a) $13,600
(b) $15,080
(c) $15,200
(d) $15,400
(e) $16,000 2. In facilities location, the location of competing facilities near to one another, often
because they want to stimulate each other’s sales or because they share common
resources, is called (a) Center of gravity location.
(b) Focused location. (0) Cross facility location. (d) Clustering. (e) Centralization. 3. A common criterion for designing product—oriented layouts is to minimize (a) Total idle time. (b) Total material costs. (c) Material transport costs.
(d) The sum of the task times.
(e) The maximum task time. 4. Consider the following methods: (i) Northwest Corner Rule
(ii) Row Minimum Method
(iii)Russell’s Method
(iv)Vogel’s Method These methods can all be used to (a) Find an optimal solution to a balanced transportation problem.
(b) Execute the iterative step of the transportation method. (c) Execute the optimality test for the transportation method. (d) Execute the initialization step of the transportation method.
(e) Execute the stepping stone step of the transportation method. 5. A new ﬁre station is locating in Gainesville, Florida. The goal is to locate the station
anywhere in or near Gainesville, in a way that it will serve the three census tracts of the
city. The following are the coordinates of the center of each census tract and the
population, in thousands, of each tract. Tract Center Population (1000’s)
1 (2.0, 6.0) 3.5
2 (8.0, 1.0) 7.0
3 (6.0, 2.0) 3.5 The ﬁre station is to be located so that its location minimizes the weighted sum of
distances to the centers of the tracts, where the weights are the populations of the tracts.
According to the Center of Gravity Method, what are the coordinates, to the nearest
one—tenth, of the recommended location? (a) (6.0, 2.5)
(b) (5.3,3.0)
(c) (6.5,3.4)
(d) (4.7,3.2)
(e) (45, 2.3) 6. Any balanced transportation problem can be solved (a) either by the Transportation Method or by the simplex method.
(b) by the Center of Gravity Method or the Factor Weighing Method.
(0) by the simplex method or by CRAFT. (d) by the Webber method or the CRAFT method. (e) by the CRAFT method or the Transportation method. 7. Each of the following is a step in the Transportation method except; (a) Initialization Step. (b) Iterative Step. (c) Model Calibration Step. (d) Optimality Test Step. (e) All are steps in the Transportation method. 8. To be a basic feasible solution the initialization step must satisfy which of the
following? (i) Conform to having m+nl cells used (ii) All shipments are non—negative and all supplies used up and demands met
(iii)Have linear independence (iv)Have values greater than 1 in all nonempty cells (v) Have linear dependence (a) (i), (iv), and (V) (b) (i), (ii), and (V) (c) (i), (iii), and (iv) ((1) (i), (ii), and (iii) (e) None of the above are correct. 9. 10. The transportation method can be used to solve a subset of problems that can also be
solved by linear programs. What is the key advantage of using the transportation
method rather than a linear program? (Chose the best answer) (a)
(b)
(C)
(d) (6) It provides an optimal solution. The steps can be done by hand so a computer is not required. It is signiﬁcantly faster so large problems can be solved rapidly. It can speciﬁcally consider the cost of transportation, a major cost for most
products. It uses a ﬁnite element mesh which is variable in size so you can scale the node
spacing according to the scale you are selecting your sites (i.e. country, state, city,
city block). The coordinates of city A on a map are (x, y) = (12, 10), and the coordinates of city B
on the map are (x, y) = (20, 4). On the map, one unit of distance equals a mile. What is
the Euclidian distance between the two cities in miles? (a) 12
(b) 10
(c) 8
(d) 7
(e) 6 11. In the transportation problem, where the goal is to minimize total cost, if the sum of the
supplies equals the sum of the demands, then (a) the problem is called balanced. (b) the problem cannot have an optimal solution. (c) in order to use the transportation method you must add “dummy” values so that you
have excess supply. ((1) the NW corner method will generate optimal solution without the need for iteration. (e) in the transportation problem the supply equals the demand. 12. An engine manufacturer is considering locating a small engine production facility in
either Los Angeles, St. Louis, or Philadelphia. They have gathered the following data: Annualized cost: site and
Site construction Production cost per Engine Los Angeles $1,250,000 $150
St. Louis $1,000,000 $175
Philadel hia $1,550,000 $125 The goal is to locate a site of minimum total annual cost, where total annual cost is
deﬁned to be the sum of the annualized cost of the site and construction and the annual
engine production cost. For what volumes V of annual engine production should Los
Angeles be a site chosen for the new engine production facility? (a) For all volumes V satisfying: 0 S V 5 10,000 (b) For all volumes V satisfying: 11,000 E V S 12,000
(c) For all volumes V satisfying: V 2 12,000 (d) For all volumes V satisfying: 10,000 E V 5 11,000
(e) For all volumes V satisfying: 10,000 E V S 12,000 13. Consider the following methods (i) The Northwest Corner Rule (ii) The Simplex Method (iii) The Matrix Minimum Method (iv) The Stepping Stone Method (V) The Modiﬁed Distribution Method (MODI) Which of these methods is designed to implement the optimality test of the
transportation method? (a) (i) and (ii)
(b) (i) and (iii)
(0) (ii) and (iii)
((1) (iii) and (iv)
(6) (iv) and (V) 14. Consider the transportation problem deﬁned by the transportation tableau given below.
Shipping cost per unit shipped are in dollars. What is the total cost for the shipping
plan derived for this tableau using the Northwest Comer Rule? l 2 3 4 Supply Source A 5 B 10 C 15 D 20 Demand (a) $250
(b) $285
(0) $330
((1) $365
(6) $385 15. 16. 17. In facilities location, factors such as labor productivity, transportation costs, proximities
to markets and government tax rates (a)
(b)
(C)
(d) (e) are called marketing factors. are tangible factors. are intangible factors. are relevant to industries that produce goods but are irrelevant to industries that
supply service. are important at the country level but not at the state or provincial level. Tim and his colleagues are using the Factor Rating Method to locate a new bank
somewhere in Gainesville. They have narrowed the search to four possible sites. They
are considering for factors. Below are the weights and the site scores they have agreed
upon. Site Scores Factor Weight 1 2 3 4
Aesthetics 10 16 8 l4 4
Land Cost 20? 10 10 8 18
Access 4 l2 l4 8 8
Trafﬁc 8 8 10 16 6 The site scores are on a scale of l to 20. The weight for Land cost has a question mark
beside it because they do not completely agree on the weight of twenty. They know
that currently site 4 is the recommended site. What is the SMALLEST Land Cost
weight value, (for which site four is a recommended site) according to the Factor
Rating Method? (a) 10
(b) 12
(c) 19
(d) 20
(e) 24 The model for a problem of ﬁnding a point in a plane that minimizes a weighted sum of
distances to a set of given points in the plane is called a (a) Karmarker model. (b) Linear programming model. (c) Sensitivity Analysis model (d) Hitchcock model. (e) Center—of—Gravity Heuristic model. 18. 19. In Process layout, sometimes some workers and machines are temporarily rearranged
into a small group that can focus on making a single product or similar products with
the same routings. This is called (a) Cellular manufacturing.
(b) Customizing. (C) Group technology. ((1) Assembly line balancing.
(e) Cross docking. Consider the transportation tableau below. This tableau represents a transportation
problem where the goal is to find a minimumcost shipping plan. All unit cost for the
shipping routes in this tableau are in dollars. In this tableau is displayed a solution
obtained by performing some iterations of the transportation method on this problem.
What is the total cost of the shipping plan that would be obtained by performing one
more iteration of the transportation method on this problem? Boulder
Cit Phoenix Orlando Supply
10
20
30 (a) $140
(b) $150
(c) $160
(d) $170
(e) $180 20. Consider the following problem 21. 22. MinZ =10,/(x—12)2 +(y—16)2 + 4,/(x+10)2 +(y—5)2
+ 41/(x—5)2 +(y—15)2 + 2J(x—10)z+(y+10)2 What solution (x, y) would the Center of Gravity Method recommend for this problem? (a) (x, y) = (120, 100)
(b) (X: Y) = (6, 5) (C) (K, Y) = (5, 6) (d) (X, y) = (120, —100)
(e) (X: = ('6: In certain types of facility layouts, the ambient conditions are important because they
affect the proﬁtability of the facility. Which types of facility layouts are these? (a) Warehouse layouts (b) Fixedposition layouts
(c) Retail layouts (d) Processoriented layouts
(e) Productoriented layouts Because of factors such as better international communications, economic
differences among nations, and the ease of the ﬂow of capital and goods among
nations, (a) In management science, the transportation method is rarely, if ever, used anymore. (b) The benefits to considering global locations have become less attractive, and thus
the facilities location problem is less global then in the past. (c) Most facilities location decisions are now tactical rather than strategic as in the
past. (d) The location decision has been rendered largely irrelevant. (e) The facilities location problem is more global then it has been in the past. 10 23. Wal—Mart, Inc, wants to build a new warehouse in either Los Angeles, Dallas, or
Atlanta. The Factor Rating Method has been initiated by WalMart’s operations
managers to solve this problem. They have given scores to each potential site across
four factors. Each factor will have a weight on a scale of l to 16, and each score is on a
scale from 1 through 15. The data thus far is as follows. Scores by site i Factor Weight L.A. Dallas Miami
1 Fixed Cost 8 8 12 8
2 Convenience 6 4 10 8
3 Taxes 4 8 4 6
4 Community attitude 8 8 4 6 What site(s) does the Factor Rating Method recommend? (a) Los Angeles (b) Dallas (c) Miami (d) Miami and Dallas are recommended equally, so the tie can be randomly broken. (e) Los Angeles and Miami are recommended equally, so the tie can be randomly
broken. 24. Using the data from the previous question Scores by site i Factor Weight L.A. Dallas Miami
1 Fixed Cost 8 8 l2 8
2 Convenience 6 4 10 8
3 Taxes 4 8 4 6
4 Community attitude X 8 4 6 WalMart would like to know how sensitive the Factor Weighting Method is to the
weight for Community Attitude. Speciﬁcally, they would like to know for what, if any,
values of X would the factor weighting method choose Miami as a recommended site? (a) ForalleoXS l6 orXZ 10 (b) For all X so 10 EX £16 (c) For all X so X 210 (d) For all X so X S 5 (c) There are no values of X for which the Factor Weighting Method would
recommend Miami 11 25. Assembly lines and fabrication lines are both (a) Product—oriented layouts.
(b) Process—oriented layouts.
(c) Fixed—position layouts.
((1) Retail layouts. (e) Warehouse layouts. 26. Consider the transportation tableau below. The goal is to ﬁnd a minimumcost
shipping plan. Unit costs for each shipping route are in dollars. What is the total cost
of the basic feasible solution that the Matrix Minimum Method would ﬁnd for this problem? Source Demand 6 8 12 4 2 (a) $186
(b) $203
(c) $208
(d) $216
(6) None of the above 27. Which of the following activities involves shipping out items received at a plant or a
warehouse as soon as they are received? (a) Clustering (b) Cross docking (c) Random stocking
(d) Customizing (e) None of the above 12 28. The transportation tableau below represents a transportation problem for which the goal
is to ﬁnd a minimum—cost shipping plan. All unit shipping cost are in dollars. What is
the cost of the basic feasible solution that the Northwest Corner Method would ﬁnd for
this problem (i.e. step 1 of the transportation method, no iteration)? A B C D Supply Source 1 23 2 l7 3 26 4 l4 Demand 21 (a) $19
(b) $227
(C) $250
((1) $253
(e) $263 29. A balanced transportation problem formulated by an operations manager has 14 sources
and 16 destinations. Therefore, the problem has (a) 223 available shipping routes. (b) 224 available shipping routes. (0) 30 available shipping routes. (d) 29 available shipping routes. (e) An inﬁnite numbers of available shipping routes. 30. Which of the following methods can be used to ﬁnd a process layout that is guaranteed,
among all possible layouts, to minimize the total material handling cost? (a) Formulating and solving an appropriate quadratic assignment problem.
(b) COMSOAL (c) CRAFT (d) The Matrix Minimum Method (e) Formulating and analyzing an appropriate Crossover Chart. 13 14 ANSWER KEY: MAN 45042 EXAM 4 FORM A FORM C
1. A 1. C
2. E 2. D
3. E 3. A
4. E 4. D
5. B 5. A
6. D 6. A
7. B 7. C
8. A 8. D
9. D 9. C
10. {ABCDE} 10. B
11. C 11. A
12. B 12. E
13. E 13. E
14. A 14. E
15. C 15. B
16. B 16. D
17. D 17. E
18. B 18. A
19. A 19. D
20. C 20. {ABCDE}
21. D 21. C
22. A 22. E
23. D 23. B
24. A 24. E
25. A 25. A
26. C 26. C
27. D 27. B
28. C 28. D
29. E 29. B
30. B 30. A ...
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This note was uploaded on 01/28/2011 for the course MAN 4504 taught by Professor Benson during the Spring '08 term at University of Florida.
 Spring '08
 BENSON

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