For the given transportation problem:

From$/$To A B C Supply

X $$10$ $$19$ $$12100$

Y $$17$ $$13$ $$9150$

Z $$20$ $$18$ $$14420$

Demand $220120250$

a$)$ Based on the given demand and$$supply$,$is the problem balanced? $[$Blank$1]$ If not, where is the shortage and by how much? $[$Blank$2]$

Balanced? No

Where$/$Amount Demand by $80$

b$)$ The total cost of the initial solution developed using the intuitive$$ lowest$-$cost method$$ will be $[$Blank$3]$

c$.$ What is the maximum quantity that can be shipped from X to A$?[$Blank$4]$

$100$

d$.$ What is the maximum quantity that can be shipped from Y to B$?[$Blank$5]$

$0$

e$.$ Now utilizing the stepping stone method $($Optimal$),$ what is the total cost? $[$Blank$6]$

round to the nearest whole number

f$.$ Based on letter d$.,$ was there any extra units in inventory $($supply$)?[$Blank$7],$ If so$,$ what location and how many units $[$Blank$8]$

Additional Units?

Location$/$Amount:

g$.$ Based on letter f$.,$ the organizatioins now needs $70$ units sent from X to B$.$ What is the total optimal cost? $[$Blank$9]$

round to the nearest whole number

Please provide a detailed explanation on how to solve this using the intuitive method. Thank you.