Find the initial cost solution utilizing the intuitive least cost method for the transportation problem detailed in the table below.

Costs Dest $1$ Dest $2$ Dest $3$ Supply

Source $1412535$

Source $21091240$

Source $38111355$

Demand $405550$

Based on utilizing the intuitive least cost method...

a$.$ Is the problem balanced?

No

b$.$ Where is the discrepancy, if any, in the transportation problem?

Supply is less than demand

c$.$ What are the number of units in the of the discrepancy, if any?

$15$

d$.$ What is the solution? $

$$1,160$

e$.$ Were all demand levels met?

No

If not, which destination was shorted based on the method used in the problem