Arizona Plumbing, which makes, among other products, a full line of bathtubs

Problem 1 – Arizona Plumbing

Arizona
Plumbing, which makes, among other products, a full line of bathtubs must
decide which of its factories should supply which of its warehouses. Relevant data for Arizona Plumbing are
presented in Table 1 and Table 2. Table
1 show, for example, that it costs Arizona Plumbing $5 to ship one bathtub from
its Des Moines factory to its Albuquerque warehouse, $4 to Boston, and $3 to
Cleveland. Likewise, we see in Table
2the capacities of Arizona Plumbing factories in Des Moines, Evansville, and
Fort Lauderdale as well as the demands for warehouses in Albuquerque, Boston and
Cleveland.

To

Albuquerque

Boston

Cleveland

Des Moines

5

4

3

From

Evansville

8

4

3

Fort
Lauderdale

9

7

5

Demand

Capacity

Albuquerque

300

Des Moines

100

Boston

200

Evansville

300

Cleveland

200

Fort
Lauderdale

300

Formulate and solve the LP to
find the least-cost means of shipping supplies from the factories to the
warehouses.

Problem
2 – Widgetco

Widgetco
manufactures widgets at two factories, one in Memphis and one in Denver. The
Memphis factory can produce as 150 widgets, and the Denver factory can produce
as many as 200 widgets per day. Widgets are shipped by air to customers in LA
and Boston. The customers in each city require 130 widgets per day. Because of
the deregulation of airfares, Widgetco believes that it may be cheaper first
fly some widgets to NY or Chicago and then fly them to their final
destinations. The cost of flying a widget are shown next. Widgetco wants to
minimize the total cost of shipping the required widgets to customers.

NY

Chicago

LA

Boston

Supply

Memphis

$8

$13

$25

$28

150

Denver

$15

$12

$26

$25

200

NY

$0

$6

$16

$17

350

Chicago

$6

$0

$14

$16

350

Demand

350

350

130

130