Fast Coast Truking provices servien from Nostan to Miaml using reglonn affices locates In oston, New Yark, Philndeiphin, Naltimore, Washingtan, Richmond, Raleigh, Plerenca, Savanna, Incksonvile, Thmps, and Nismi. The number of mles herween ench of the regionN fices nd the numhere assodhed wth ench dity are provided in the folowing tahle. New York Philadelphla Baltimore Washington Raleigh Florence Savannah Jacksonville Tampa Mlami Tamna Mismi Richmond Sostun 211 320 424 459 713 1,056 1,195 1,399 New York 109 213 248 354 502 673 845 985 1,188 1,458 104 139 245 295 564 735 1,079 1,349 Bakimare 35 141 289 632 772 1,245 washington 106 254 425 597 737 1,210 Richmand 148 491 A14 1,104 Raleign 171 343 483 956 la 171 312 515 Swwnnnah 140 343 Jeckaunvte 203 473 Tempe 170 Mam The company's expansion plans invoive corstrucung service facikies in some of the dues where a reponal ofice is located, such that cach regional office is witin 400 miles of at leasa one service fncility. For Invesnre, Fa ervire fadity is conetructed in Rirhmand, It can provide seruke to regional afres inrated in New York, Phladelchia, Natimarn, Wwehington, Richmand, Raieigh, and FlerencR. . Haragement Hould lke to demermine the minimum number af service fndites needed and where they shoule he incated. (A) Formulnte an Integer linesr program that can he used to detemine the minimum number of neruioe faclties nneted and their oratian. fiat x, he the O-I varishie, which is I If a servire farilty ik conetructed in dity , and C ntherwinn. Min s.t. Boston New York Philadelphia Baltimore Washington Richmond Raleigh Florence Savannah Jacksonville Tampa Miami X1, X2, X3, X4, X5, X6 X7, Xg, Xg, X10' ×11, ×12 = 0, 1
Fast Coast Truking provices servien from Nostan to Miaml using reglonn affices locates In oston, New Yark, Philndeiphin, Naltimore, Washingtan, Richmond, Raleigh, Plerenca, Savanna, Incksonvile, Thmps, and Nismi. The number of mles herween ench of the regionN fices nd the numhere assodhed wth ench dity are provided in the folowing tahle. New York Philadelphla Baltimore Washington Raleigh Florence Savannah Jacksonville Tampa Mlami Tamna Mismi Richmond Sostun 211 320 424 459 713 1,056 1,195 1,399 New York 109 213 248 354 502 673 845 985 1,188 1,458 104 139 245 295 564 735 1,079 1,349 Bakimare 35 141 289 632 772 1,245 washington 106 254 425 597 737 1,210 Richmand 148 491 A14 1,104 Raleign 171 343 483 956 la 171 312 515 Swwnnnah 140 343 Jeckaunvte 203 473 Tempe 170 Mam The company's expansion plans invoive corstrucung service facikies in some of the dues where a reponal ofice is located, such that cach regional office is witin 400 miles of at leasa one service fncility. For Invesnre, Fa ervire fadity is conetructed in Rirhmand, It can provide seruke to regional afres inrated in New York, Phladelchia, Natimarn, Wwehington, Richmand, Raieigh, and FlerencR. . Haragement Hould lke to demermine the minimum number af service fndites needed and where they shoule he incated. (A) Formulnte an Integer linesr program that can he used to detemine the minimum number of neruioe faclties nneted and their oratian. fiat x, he the O-I varishie, which is I If a servire farilty ik conetructed in dity , and C ntherwinn. Min s.t. Boston New York Philadelphia Baltimore Washington Richmond Raleigh Florence Savannah Jacksonville Tampa Miami X1, X2, X3, X4, X5, X6 X7, Xg, Xg, X10' ×11, ×12 = 0, 1
Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter12: Probability
Section12.1: Sets
Problem 92E
Related questions
Question
Transcribed Image Text:(b) Solve the linear program formulated in part (a). How many service facilities are required?
Where should they be located? (Select all that apply.)
O Boston
O New York
Philadelphia
Baltimore
Washington
Richmond
O Raleigh
O Florence
O Savannah
O Jacksonville
O Tampa
O Miami
(c) Suppose that each service facility can only provide service to regional offices within 300 miles. How many service facilities are required?
Where should they be located? (Select all that apply.)
O Boston
O New York
O Philadelphia
Baltimore
Washington
Richmond
Raleigh
O Florence
O Savannah
O Jacksonville
O Tampa
O Miami
Transcribed Image Text:Fast Coast Truking provices servien from Nostan to Miaml using reglonni affices located In oston, New Yark, Philndeiphin, Naltimore, Washingtan, Richmond, Raleigh, Merence, Savanna,
Incksonvile, Thmps, and Nismi. The number of mles herween ench of the regionN fices nd the numhere assodted wth ench dty are provided in the following tahle.
New York Philadelphia
a
Baltimore Washington Richmond Raleigh Florence Savannah
Jacksonville Tampa Mlami
Sostun
211
320
424
459
713
1,056
1,195
1,399
1,069
New York
109
213
248
354
502
673
845
985
1,188
1,458
ladlaha
104
139
245
564
735
1,079
1,349
Bakimare
35
141
289
632
772
975
1,245
washington
106
254
425
597
737
940
1,210
Richmand
14R
ףוב
491
14
1,104
Raleign
171
343
483
956
6
la
171
312
515
7a5
Swwnnnah
140
343
Jeckauny
203
473
Tempe
270
Mam
The company's expansion plans involve corstructung service facikies in some of the dues where a repional ofice is located, such that cach regional office is witin 400 miles of at least one service
facility. For Inveanee, ra ervire fadity is conetructed in Rirhmand, It can provide seruke to regional ofres inrated in New York, Phliadelchia, Natimarn, Wwehinghon, Richmand, Raieigh, and FlerencR.
Maragement Hould Ike to demermine the minimum number af service fadiies nended and where they shoule he lncated.
(A) Formulahte an Integer linaar srogram that can be used to retermine the minimum number of ervice faclties nneded and their loratlon. (Let v, he the O-I varishie, which is I Ifa servien farlity ik
constructed in dty , and o ntherwinn.;
Min
s.t.
Boston
New York
Philadelphia
Baltimore
Washington
Richmond
Raleigh
Florence
Savannah
Jacksonville
Tampa
Miami
X1, X2, X3, Xq, X , X6, X7, Xg, Xg, X10' ×11' ×12 = 0, 1
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