Toyco produces a line of Bonnie dolls and accessories at its plants in New York and Baltimore that must be shipped to distribution centers in Chicago and Los Angeles. The company uses Air Freight, Inc.., to make its shipments. Suppose that it can ship directly or through Pittsburgh and Denver. The daily production rates at the plants are respectively 5,000 and 7,000 units daily, and the demands at the dis- tribution centers are respectively 3,500 and 8,500 units daily. The costs o shipping 1,000 units are given in the following table. Find the optimal shipping routes and the associated cost.

Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter7: Nonlinear Optimization Models
Section: Chapter Questions
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1. Question 14 on page 340
14 Toyco produces a line of Bonnie dolls and accessories at its plants in New York and
Baltimore that must be shipped to distribution centers in Chicago and Los
Angeles. The company uses Air Freight, Inc.., to make its shipments. Suppose that
it can ship directly or through Pittsburgh and Denver. The daily production rates at
the plants are respectively 5,000 and 7,000 units daily, and the demands at the dis-
tribution centers are respectively 3,500 and 8,500 units daily. The costs of shipping
1,000 units are given in the following table. Find the optimal shipping routes and
the associated cost.
Pittsburgh
Denver
Chicago Los Angeles
New York
Baltimore
Pittsburgh
$182
$375
$285
77
245
575
275
125
380
Denver
110
11
06
2. (Question 25 on page 359)
Many automobiles can be ordered in one of two engine sizes (examples are the Lincoln LS,
the Lexus Coupe, and the Jaguar S Type) but are virtually identical in every other way. How
might these automakers use the concept of postponement in their production planning?
22
DOLL
prt sc
home
end
insert
de
F10
F11
F12
F7
Transcribed Image Text:FROM A | + %00L 1. Question 14 on page 340 14 Toyco produces a line of Bonnie dolls and accessories at its plants in New York and Baltimore that must be shipped to distribution centers in Chicago and Los Angeles. The company uses Air Freight, Inc.., to make its shipments. Suppose that it can ship directly or through Pittsburgh and Denver. The daily production rates at the plants are respectively 5,000 and 7,000 units daily, and the demands at the dis- tribution centers are respectively 3,500 and 8,500 units daily. The costs of shipping 1,000 units are given in the following table. Find the optimal shipping routes and the associated cost. Pittsburgh Denver Chicago Los Angeles New York Baltimore Pittsburgh $182 $375 $285 77 245 575 275 125 380 Denver 110 11 06 2. (Question 25 on page 359) Many automobiles can be ordered in one of two engine sizes (examples are the Lincoln LS, the Lexus Coupe, and the Jaguar S Type) but are virtually identical in every other way. How might these automakers use the concept of postponement in their production planning? 22 DOLL prt sc home end insert de F10 F11 F12 F7
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