The Riviera Transport Company (RTC) produces car accessories at two plants: Dallas
and Atlanta. They ship them to major distribution centers in Houston, San Jose,
Jacksonville, and Memphis. The accounting, production, and marketing departments
have provided the information in the table below, which shows the unit cost of shipping
between any plant and distribution center, plant capacities over the next planning
period, and distribution center demands. RTC’s supply chain manager faces the problem
of determining how much to ship between each plant and distribution center to
minimize the total transportation cost, not exceed available capacity, and meet customer
demand.
Assume Xij = amount shipped from plant i to distribution center j, where i = 1
represents Dallas, i = 2 represents Atlanta, j = 1 represents Houston, and so on.
According to the Sensitivity Report, which of the following is true if the capacity at
Atlanta is increased by 230 units?
A) the total cost can be reduced by $.09 per unit
B) the total cost at Atlanta increases by $9
C) the total cost per unit will reduce by $.09 to Memphis
D) the shadow price at Atlanta will increase to $0.09