Dana Johnson Corp. is considering adding a fourth plant to its three existing facilities in Decatur, Minneapolis, and Carbondale. Both East St$.$ Louis $($option $1)$ and St$.$ Louis $($option $2)$ are being considered.$$

From Existing PlantsToDecaturMinneapolisCarbondaleDemandBlue Earth$$20$$$17$$$21250$Ciro$$25$$$27$$$20200$Des Moines$$22$$$25$$$22350$Capacity$300200150$

From Proposed PlantsToEast St$.$ Louis $($option $1)$St$.$ Louis $($option $2)$Blue Earth$$29$$$27$Ciro$$30$$$28$Des Moines$$30$$$31$Capacity$150150$

LocationProduction Costs $($$$)$Decatur$$50$Minneapolis$60$Carbondale$70$East St$.$ Louis$40$St$.$ Louis$50$

Evaluating only the transportation costs:

a$.$ What is the cost considering East St$.$ Louis $=$ $ $[$ Select $]["17,400","20,500","17,250","18,500"]$

b$.$ What is the cost considering St$.$ Louis? $=$ $ $[$ Select $]["17,400","17,250","18,345","16,500"]$

c$.$ Which location would you choose? $[$ Select $]["$Neither$",$ "Both", "East St$.$ Louis", $"$St$.$ Louis"$]$

Now use the transportation data and the unit production costs:

d$.$ What is the cost considering East St$.$ Louis? $=$ $ $[$ Select $]["63,450","60,900","59,600","62,250"]$

e$.$ What is the cost considering St$.$ Louis? $=$ $ $[$ Select $]["63,250","62,250","60,900","66,900"]$

f$.$ Which location would you choose? $[$ Select $]["$Neither$","$St$.$ Louis", "East St$.$ Louis", "Both"$]$

$$

From$/$ToHosp $1$Hosp $2$Hosp $3$Hosp $4$SupplyBank $1$$$8$$$9$$$11$$$1650$Bank $2$$$12$$$7$$$5$$$880$Bank $3$$$14$$$10$$$6$$$7120$Demand$90704050$

a$.$ Is the problem balanced? $[$ Select $]["",$ "Yes", "cannot determine", $"$No$"],$

b$.$ How many pints of blood are you short? $[$ Select $]["20","30","0","13"]$

c$.$ What is the optimal solution? $ $[$ Select $]["2,000","2,020","2,500","1,300"]$