Answers to two decimal places the optimal solution is

answers to two decimal places.
The optimal solution is to produce MWs in Los Angeles, MWs in Tulsa,
and MWs in Seattle. The total distribution cost of this solution is $ .
b. If at most 3900 MWs of power can be supplied by any one of the power plants, what is the
optimal solution? What is the annual increase in power distribution cost that results from adding these
constraints to the original formulation? If required, round your answers to two decimal places.
6293.94 1448.25
2912.15 2514227.38

The optimal solution is to produce MWs in Los Angeles, MWs in Tulsa,
and MWs in Seattle. The total distribution cost of this solution is $ . The increase
in cost associated with the additional constraints is $ .
10-11
The distribution system for the Herman Company consists of three plants, two warehouses, and four
customers. Plant capacities and shipping costs per unit (in $) from each plant to each warehouse are
as follows:
Customer demand and shipping costs per unit (in $) from each warehouse to each customer are as
follows:
a. Choose the correct network representation of this problem. ii
3900 2854.34
3900 2626938.10
112710.72

b.
Formulate a linear programming model of the problem. For subtractive or negative numbers use a
minus sign even if there is a + sign before the blank.
c. Solve the linear program to determine the optimal shipping plan.

Objective Function Value =
11850

There is an excess capacity of units at Plant 3
380-250=130
10-13
Sports of All Sorts produces, distributes, and sells high-quality skateboards. Its supply chain consists of
three factories (located in Detroit, Los Angeles, and Austin) that produce skateboards. The
Detroit and Los Angeles facilities can produce 350 skateboards per week,
Austin plant is larger and can produce up to 700 skateboards per week.
Skateboards must be shipped from the factories to one of four distribution centers, or DCs
(located in Iowa, Maryland, Idaho, and Arkansas) . Each distribution center can process
(repackage, mark for sale, and ship) at most 500 skateboards per week .
Skateboards are then shipped from the distribution centers to retailers. Sports of All Sorts supplies 3
major U.S. retailers: Just Sports, Sports ’N Stuff, and The Sports Dude.
The weekly demands are 200 skateboards at Just Sports , 500 skateboards at Sports ’N Stuf ,
and 650 skateboards at The Sports Dude .
The following tables display the per-unit costs for shipping skateboards between the factories and DCs
and for shipping between the DCs and the retailers.
130