$4$

$($c$)[2]$ If we can add $10$ more units of supply, which distribution center should these $10$ units be added to$?$ What is the new total shipping cost? Explain. Answer this question by reading from the sensitivity report without resolving the linear program.

$($d$)[2]$ In your optimal solution, how many units are being shipped from Atlanta to Dallas? If zero, how much should the shipping cost $($currently $$27)$ decrease for the optimal solution to ship nonzero units from Atlanta to Dallas? If not zero, how will the optimal solution and the optimal solution value change if the cost is increased to $$28?$ Explain. Answer this question by reading from the sensitivity report without resolving the linear program.

$($e$)[2]$ In your optimal solution, how many units are being shipped from Topeka to Riverside? If zero, how much should the shipping cost $($currently $$35)$ decrease for the optimal solution to ship nonzero units from Topeka to Riverside? If not zero, how will the optimal solution and the optimal solution value change if the cost is increased to $$36?$ Explain. Answer this question by reading from the sensitivity report without resolving the linear program.