Find the initial cost solution utilizing the intuitive method for the transportation problem detailed in the table below. Costs Dest $1$ Dest $2$ Dest $3$ Supply Source $13012535$ Source $21091240$ Source $38111360$ Demand $405550$ a$.$ Is the problem balanced? $($Select$]$ b$.$ Where is the discrepancy, if any, in the transportation problem? $[$Select$)$ c$.$ What is the number of units of the discrepancy, if any? Select$)$ d$.$ What is the solution? $ Select$)$ e$.$ Were all demand levels met? Select If not, which destination was shorted based on the method used in the problem Select