Question

1. Consider an identical scenario to the transportation problem discussed in class (Example
3-3 on pages 92-93), except that transportation costs per unit along the links are given by
(in dollars/unit)
Solve (that is, determine the product flows on each of the links and also the total cost)
each of the following scenarios independently:
{a) Formulate the LP (linear program) and solve it, i.e., determine the optimal product
flows on each of the links and also the minimum total cost.
(b) Suppose that the per unit cost for transporting material from Plant 1 to Warehouse
1 depends on the amount of material transported. Specifically, suppose that the
transportation cost is 3.5 per unit for any number of units up to 30,000; and 5.0 per
unit for any units exceeding 30,000. For example, if 80,000 units are transported on
the link from Plant 1 to Warehouse 1. then the transportation cost will be 3.5 (30000)
+ 5.0 (50000). Formulate this problem as a linear program. [For full credit, it must
be formulated as a linear program. Solve this problem.
(c) Suppose you have the option of paying a fixed cost of C in order to hire a fleet of
more fuel-efficient trucks. The fuel-efficient trucks will reduce all of the per unit
transportation costs given in the table above by $1. Solve the resulting fuel-efhcient
LP and determine the range of C for which you will prefer to hire the more fuel-efficient
trucks.​

Answer 1

Answer:

LP and determine the end of Steel for which you will perfect to hire the more fuel efficient products