ALLUB_HW_BS
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School
Houston Baptist University *
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Course
4340
Subject
Industrial Engineering
Date
Dec 6, 2023
Type
xlsx
Pages
7
Uploaded by lululas1
PROBLEM 1
Cox Electric makes electronic components and has estimated the following for a new design of one of its products:
Fixed Costs
$10,000.00
Material Cost per Unit
$0.15
Labor Cost per Unit
$0.10
Revenue per Unit
$0.65
(a) Build mathematical model for calculating profit and find the resulting profit if Cox Electric makes 12,000 units of a new product.
Cox Electric Breakeven Analysis
Parameters
Revenue per Unit
$7,800.00
Fixed Costs
$10,000.00
Material Cost per Unit
$1,800.00
prod
prof
($5,200.00)
Labor Cost per Unit
$1,200.00
0
10,000
20,000
Model
30,000
40,000
Production Volume
12,000
50,000
60,000
Total Revenue
$7,800.00
70,000
80,000
Material Cost
$1,800.00
90,000
Labor Cost
$1,200.00
100,000
Fixed Cost
$10,000.00
Total Cost
$13,000.00
Profit / Loss
($5,200.00)
(b) Construct one-way data table with production volumn as the column input and profit as the output. Vary production from 0 to 100,0
b- the break even would occur at the interval of 30.000
in increments of 10,000. In which interval of production volume does breakeven occur?
the location of the production volume in the model.
Model
Production Volume
25,000
Breakeven volume
Total Revenue
$195,000,000.00
Material Cost
$300,000,000.00
Labor Cost
$0.00
Fixed Cost
$0.00
Total Cost
$300,000,000.00
Profit / Loss
($105,000,000.00)
(c) Use Goal Seek to find exact breakeven point. Assign
Set cell:
equal to the location of profit,
To value:
= 0, and
By changing cell:
equal to
PROBLEM 2
Anna operates a consignment shop where she sells clothes for women and children. The average number of consignments sold per month is 1,000.
The average material cost and the selling price of each consignment are $8 and $20, respectively.
The monthly fixed costs to run the business are given below:
Rental cost
$750
Utilities
$150
Advertising
$35
Insurance
$100
Labor cost
$4,000
Use a two-way data table to show profit changes as a function of different number of consignments sold per month and different material costs.
Vary the number of consignments from 400 to 1,200 in increments of 100. The eight different material costs are
$5.45
$6.23
$6.95
$7.54
$8.23
$8.88
$9.00
$9.45
Parameters
Two-Way Table
Material cost
$5.45
Selling price
$20.00
Number of consignments
400
Number of Consignments Sold
material cost
Fixed cost
$5,035
$785
400
500
600
700
800
900
1000
1100
1200
Rental cost
$750
$5.45
Utilities
$150
$6.23
Advertising
$35
$6.95
Insurance
$100
$7.54
Labor cost
$4,000
$8.23
$8.88
Model
$9.00
$9.45
Total selling price
8000
Total fixed cost
$5,035
Total material cost
$2,180
Total cost
$7,215
Profit
$785
PROBLEM 3
Richardson Ski Racing (RSR) sells equipment needed for downhill ski racing. One of RSR's products ins fencing used on downhill courses.
The fence product comes in 150-foot rolls and sells for $215 per roll. However, RSR offers quantity discounts. The following table
shows
the price per roll depending on order size:
Quantity Ordered
From
To
Price per Roll
1
50
$215
51
100
$195
101
200
$175
201
and up
$155
The following list contains 172 orders that have arrived for the coming six weeks.
(a) Use the VLOOKUP function with the price table above to determine the total revenue from these orders.
(b) Use the COUNTIF function to determine the number of orders in each price bin.
Order
Quantity
Price per Roll
Revenue
1
86
$195
$16,770
Quantity Ordered
2
452
$155
$70,060
From
To
Price per Roll
3
492
$155
$76,260
1
50
$215
4
191
$175
$33,425
51
100
$195
5
356
$155
$55,180
101
200
$175
6
148
$175
$25,900
201
and up
$155
7
342
$155
$53,010
8
382
$155
$59,210
9
276
$155
$42,780
10
118
$175
$20,650
Total Revenue
11
464
$155
$71,920
12
188
$175
$32,900
13
25
$215
$5,375
From
To
Price per Roll
# Orders
% of Orders
14
427
$155
$66,185
1
50
$215
25
14.7%
15
30
$215
$6,450
51
100
$195
29
17.1%
16
111
$175
$19,425
101
200
$175
67
39.4%
17
161
$175
$28,175
201
and up
$155
49
28.8%
18
314
$155
$48,670
Total
170
100.0%
19
442
$155
$68,510
20
429
$155
$66,495
21
451
$155
$69,905
Note: Use COUNTIF formula in cells I33 - I36.
22
32
$215
$6,880
Note: Use VLOOKUP formula in cells in column C.
23
181
$175
$31,675
Note: Calculate Revenue based on Quantity and Price per Roll.
24
163
$175
$28,525
25
336
$155
$52,080
26
240
$155
$37,200
27
68
$195
$13,260
28
317
$155
$49,135
29
435
$155
$67,425
30
211
$155
$32,705
31
76
$195
$14,820
32
374
$155
$57,970
33
415
$155
$64,325
34
408
$155
$63,240
35
196
$175
$34,300
36
302
$155
$46,810
37
312
$155
$48,360
38
31
$215
$6,665
39
317
$155
$49,135
40
394
$155
$61,070
41
348
$155
$53,940
42
49
$215
$10,535
43
500
$155
$77,500
44
490
$155
$75,950
45
94
$195
$18,330
46
285
$155
$44,175
47
237
$155
$36,735
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Order
Quantity
Price per Roll
Revenue
48
101
$175
$17,675
49
53
$195
$10,335
50
257
$155
$39,835
51
273
$155
$42,315
52
415
$155
$64,325
53
346
$155
$53,630
54
133
$175
$23,275
55
287
$155
$44,485
56
431
$155
$66,805
57
113
$175
$19,775
58
197
$175
$34,475
59
6
$215
$1,290
60
328
$155
$50,840
61
114
$175
$19,950
62
207
$155
$32,085
63
273
$155
$42,315
64
257
$155
$39,835
65
113
$175
$19,775
66
400
$155
$62,000
67
324
$155
$50,220
68
500
$155
$77,500
69
60
$195
$11,700
70
117
$175
$20,475
71
466
$155
$72,230
72
370
$155
$57,350
73
293
$155
$45,415
74
164
$175
$28,700
75
63
$195
$12,285
76
252
$155
$39,060
77
394
$155
$61,070
78
109
$175
$19,075
79
233
$155
$36,115
80
340
$155
$52,700
81
430
$155
$66,650
82
210
$155
$32,550
83
363
$155
$56,265
84
120
$175
$21,000
85
429
$155
$66,495
86
113
$175
$19,775
87
391
$155
$60,605
88
375
$155
$58,125
89
487
$155
$75,485
90
11
$215
$2,365
91
264
$155
$40,920
92
14
$215
$3,010
93
177
$175
$30,975
94
193
$175
$33,775
95
427
$155
$66,185
96
320
$155
$49,600
97
347
$155
$53,785
98
64
$195
$12,480
99
430
$155
$66,650
100
282
$155
$43,710
101
66
$195
$12,870
102
457
$155
$70,835
103
377
$155
$58,435
104
15
$215
$3,225
105
333
$155
$51,615
106
23
$215
$4,945
107
230
$155
$35,650
108
378
$155
$58,590
109
136
$175
$23,800
110
250
$155
$38,750
111
377
$155
$58,435
Order
Quantity
Price per Roll
Revenue
112
388
$155
$60,140
113
256
$155
$39,680
114
337
$155
$52,235
115
419
$155
$64,945
116
171
$175
$29,925
117
278
$155
$43,090
118
184
$175
$32,200
119
357
$155
$55,335
120
368
$155
$57,040
121
409
$155
$63,395
122
100
$195
$19,500
123
154
$175
$26,950
124
160
$175
$28,000
125
239
$155
$37,045
126
186
$175
$32,550
127
383
$155
$59,365
128
156
$175
$27,300
129
217
$155
$33,635
130
452
$155
$70,060
131
111
$175
$19,425
132
208
$155
$32,240
133
317
$155
$49,135
134
60
$195
$11,700
135
185
$175
$32,375
136
383
$155
$59,365
137
52
$195
$10,140
138
282
$155
$43,710
139
188
$175
$32,900
140
52
$195
$10,140
141
106
$175
$18,550
142
346
$155
$53,630
143
277
$155
$42,935
144
484
$155
$75,020
145
208
$155
$32,240
146
229
$155
$35,495
147
311
$155
$48,205
148
450
$155
$69,750
149
304
$155
$47,120
150
379
$155
$58,745
151
15
$215
$3,225
152
99
$195
$19,305
153
324
$155
$50,220
154
151
$175
$26,425
155
179
$175
$31,325
156
460
$155
$71,300
157
441
$155
$68,355
158
309
$155
$47,895
159
37
$215
$7,955
160
305
$155
$47,275
161
348
$155
$53,940
162
85
$195
$16,575
163
135
$175
$23,625
164
288
$155
$44,640
165
454
$155
$70,370
166
238
$155
$36,890
167
38
$215
$8,170
168
451
$155
$69,905
169
374
$155
$57,970
170
437
$155
$67,735
171
184
$175
$32,200
172
455
$155
$70,525
PROBLEM 4
Williamson produces a single product and has plants in Atlanta, Lexington, Chicago, and Salt Lake City and warehouses in
Portland, St. Paul, Las Vegas, Tucson, and Cleveland. Each plant has a capacity and each warehouse has a demand.
Williamson would like to find a low-cost shipping plan. Mr. Williamson has reviewed the results and notices right away
Correct the errors (Hint: The model contains two errors. Be sure to check every formula.)
Williamson Manufacturing
Transportation Model
Data
Shipping
Cost Per Unit
Portland
St. Paul
Las Vegas
Tucson
Cleveland
Supply
Atlanta
$2.17
$0.92
$1.75
$1.50
$0.56
10,000
Lexington
$1.97
$0.61
$1.68
$1.53
$0.22
10,000
Chicago
$1.71
$0.37
$1.53
$1.41
$0.34
15,000
Salt Lake City
$0.63
$0.99
$0.35
$0.58
$1.57
8,000
Demand
5,000
15,600
5,000
3,750
4,570
Model
Shipping Cost
$20,086
Units Shipped
Portland
St. Paul
Las Vegas
Tucson
Cleveland
Units Shipped
Atlanta
0
0
0
3,750
0
3,750
Lexington
0
2,600
0
0
4,570
7,170
Chicago
2,000
13,000
0
0
0
15,000
Salt Lake City
3,000
0
5,000
0
0
8,000
Units Received
5,000
15,600
5,000
3,750
4,570
33,920
that the total cost is way out of line. Use the
Formula Auditing
tool under the
Formulas
tab to find any erros in this model
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PROBLEM 5
Newton Manufacturing produces scientific calculators. The models are N350, N450, and N900. Newton
has planned
its distribution of these products around eight customer zones: Brazil, China, France, Malaysia, US Northeast,
US Southeast, US Midwest, and US West. Data for the current quarter (volume to be shipped in thousands of units)
for each product and each customer zone are given below. Newton would like to know the total number of units
going to each customer zone and also the total units of each product shipped. There are several ways to get this
information from the data set. One way is to use the SUMIF function, which extends the SUM function by allowing
the user to add the values of cells meeting a logical condition. The general form of the function is
For example, Malaysia would be =SUMIF($A$15:$A$38,A17,$C$15:$C$38)
(a) Use the SUMIF function to get total volume by zone
(b) Use the SUMIF function to get total volume by each product
Newton Scientific Calculators
Customer Zone
Model
Volume (000 units)
Malaysia
N350
399.0
China
N350
3,158.3
Total Volume (000)
France
N350
1,406.0
Malaysia
1,928.6
Brazil
N350
163.5
China
5,328.5
US Northeast
N350
68.7
France
3,486.6
US Southeast
N350
999.7
Brazil
1,144.7
US Midwest
N350
544.9
US Northeast
430.2
US West
N350
1,804.0
US Southeast
3,203.3
Malaysia
N450
228.0
US Midwest
4,482.7
China
N450
540.9
US West
5,969.9
France
N450
289.8
Total
25,974.5
Brazil
N450
240.5
US Northeast
N450
313.2
US Southeast
N450
681.3
Total Volume (000)
US Midwest
N450
1,720.3
N350
8,544.1
US West
N450
2,922.3
N450
6,936.3
Malaysia
N900
1,301.6
N900
10,494.1
China
N900
1,629.3
Total
25,974.5
France
N900
1,790.8
Brazil
N900
740.7
US Northeast
N900
48.3
US Southeast
N900
1,522.3
US Midwest
N900
2,217.5
US West
N900
1,243.6
=SUMIF(
test range, condition, range to be summed
)