Sycamore Plastics (SP) is a manufacturer of polyethylene plastic pellets used es a row material by manufacturers of plastic goods around the United States. SP currently operstes four manufacturing centers in Philadelphis, PA: Atlants, GA: St. Louis, MO; and Salt Lake City, UT. The plants have different capacities and production costs as indicated in the table below. МAXIMUM CAPAАCITY PROD. COSTS (x 188,800 LB.) (PER 1,808 LB.) $325.00 $275.00 $305.00 $250.00 PLANT Philadelphia Atlanta 7.5 9.0 St. Louis 12.0 18.3 Salt Lake City SP currently has six contract customers located in New York City: Birmingham, AL; Terre Haute, IN; Doallas, TX; Spokane, WA; and San Diego, CA. Transportstion costs between the plants and verious customers, es well os contracted demand from esch customer, are shown in the table below. TRANSPORT COSTS PER 1,02e LB. TERRE HAUTE BIRMINGHAM $ 52 FROM/TO Philadelphia Atlanta St. Louis Salt Lake City NYC DALLAS SPOKANE $ 62 SAN DIEGO $ 85 $ 45 $ 56 78 55 42 58 59 se 82 57 68 50 54 65 70 72 71 67 57 52 Total Denand (* 1,000 lb.) 415 125 400 525 925 a. Create o solver model and find the optimal solution to help SP develop a distribution plan that will minimize costs to supply the customers' demand. (Enter your answers In terms of cost per 1,000 Ibs and shipment quantitles per 1,000 lbs. Round your answers to the nearest whole number. Leave the cells blank, whenever zero (0) Is required.) Combined Costs Per 1,000 Ibs. Birmingham Terre Haute Dallas San Dlego 410 From/To NYC Spokane Philadelphia 370s 377 381 387 403 s Atlanta 330 317 333 334 355 357 SL Louis 362 365 355 359 370 375 Salt Lake City 322 321 317 307 302 310 Soluton (x 1,000 Iba.) From/To NYC Birmingham Тerre Haute Dallas Spokane San Dlego Philadelphia Atlanta SL. Louis Salt Lake City Received Total Coste From/To NYC Birmingham Тerre Haute Dallas Spokane San Dlego Philadelphia Atlanta SL Louis Salt Lake City Total cost

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Sycamore Plastics (SP) is a manufacturer of polyethylene plastic pellets used es a row material by manufacturers of plastic goods
around the United States. SP currently operstes four manufacturing centers in Philadelphis, PA: Atlants, GA: St. Louis, MO; and Salt
Lake City, UT. The plants have different capacities and production costs as indicated in the table below.
МAXIMUM CAPAАCITY
PROD. COSTS
(x 188,800 LB.)
(PER 1,808 LB.)
$325.00
$275.00
$305.00
$250.00
PLANT
Philadelphia
Atlanta
7.5
9.0
St. Louis
12.0
18.3
Salt Lake City
SP currently has six contract customers located in New York City: Birmingham, AL; Terre Haute, IN; Doallas, TX; Spokane, WA; and San
Diego, CA. Transportstion costs between the plants and verious customers, es well os contracted demand from esch customer, are
shown in the table below.
TRANSPORT COSTS PER 1,02e LB.
TERRE HAUTE
BIRMINGHAM
$ 52
FROM/TO
Philadelphia
Atlanta
St. Louis
Salt Lake City
NYC
DALLAS
SPOKANE
$ 62
SAN DIEGO
$ 85
$ 45
$ 56
78
55
42
58
59
se
82
57
68
50
54
65
70
72
71
67
57
52
Total Denand (* 1,000 lb.)
415
125
400
525
925
a. Create o solver model and find the optimal solution to help SP develop a distribution plan that will minimize costs to supply the
customers' demand. (Enter your answers In terms of cost per 1,000 Ibs and shipment quantitles per 1,000 lbs. Round your answers
to the nearest whole number. Leave the cells blank, whenever zero (0) Is required.)
Combined Costs Per 1,000 Ibs.
Birmingham
Terre Haute
Dallas
San Dlego
410
From/To
NYC
Spokane
Philadelphia
370s
377
381
387
403 s
Atlanta
330
317
333
334
355
357
SL Louis
362
365
355
359
370
375
Salt Lake City
322
321
317
307
302
310
Soluton (x 1,000 Iba.)
From/To
NYC
Birmingham
Тerre Haute
Dallas
Spokane
San Dlego
Philadelphia
Atlanta
SL. Louis
Salt Lake City
Received
Total Coste
From/To
NYC
Birmingham
Тerre Haute
Dallas
Spokane
San Dlego
Philadelphia
Atlanta
SL Louis
Salt Lake City
Total cost
Transcribed Image Text:Sycamore Plastics (SP) is a manufacturer of polyethylene plastic pellets used es a row material by manufacturers of plastic goods around the United States. SP currently operstes four manufacturing centers in Philadelphis, PA: Atlants, GA: St. Louis, MO; and Salt Lake City, UT. The plants have different capacities and production costs as indicated in the table below. МAXIMUM CAPAАCITY PROD. COSTS (x 188,800 LB.) (PER 1,808 LB.) $325.00 $275.00 $305.00 $250.00 PLANT Philadelphia Atlanta 7.5 9.0 St. Louis 12.0 18.3 Salt Lake City SP currently has six contract customers located in New York City: Birmingham, AL; Terre Haute, IN; Doallas, TX; Spokane, WA; and San Diego, CA. Transportstion costs between the plants and verious customers, es well os contracted demand from esch customer, are shown in the table below. TRANSPORT COSTS PER 1,02e LB. TERRE HAUTE BIRMINGHAM $ 52 FROM/TO Philadelphia Atlanta St. Louis Salt Lake City NYC DALLAS SPOKANE $ 62 SAN DIEGO $ 85 $ 45 $ 56 78 55 42 58 59 se 82 57 68 50 54 65 70 72 71 67 57 52 Total Denand (* 1,000 lb.) 415 125 400 525 925 a. Create o solver model and find the optimal solution to help SP develop a distribution plan that will minimize costs to supply the customers' demand. (Enter your answers In terms of cost per 1,000 Ibs and shipment quantitles per 1,000 lbs. Round your answers to the nearest whole number. Leave the cells blank, whenever zero (0) Is required.) Combined Costs Per 1,000 Ibs. Birmingham Terre Haute Dallas San Dlego 410 From/To NYC Spokane Philadelphia 370s 377 381 387 403 s Atlanta 330 317 333 334 355 357 SL Louis 362 365 355 359 370 375 Salt Lake City 322 321 317 307 302 310 Soluton (x 1,000 Iba.) From/To NYC Birmingham Тerre Haute Dallas Spokane San Dlego Philadelphia Atlanta SL. Louis Salt Lake City Received Total Coste From/To NYC Birmingham Тerre Haute Dallas Spokane San Dlego Philadelphia Atlanta SL Louis Salt Lake City Total cost
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