ABC Trucking has three distribution centers $($DCs$)$ located in Dallas, Jersey City, and Riverside that transport product each week to warehouses located in five cities: Seattle, Topeka, Minneapolis, Atlanta, and Boston. Each DC has an upper limit on the number of units of product that it can ship each week and each warehouse has a requirement for the volume of product needed. These values and the per unit shipping costs for all DC$-$warehouse pairs are provided in the accompanying Excel workbook.

ABC seeks a feasible shipping plan that minimizes the total shipping cost.

Which of the following statements are true for the ABC shipping problem at the optimal solution?

Group of answer choices

A decrease on the upper limit of supply at the Riverside DC of $40$ units, will increase total shipping cost by $$0.$

A increase in the demand at the Topeka warehouse of $20$ units will increase the cost by $$600.$

A decrease in the demand at the Atlanta warehouse of $20$ units will increase the cost by $$880.$

Exactly two answers are correct.

An increase on the upper limit of supply at the Jersey City DC of $10$ units, will decrease total shipping cost by $$90.$