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 $300111355$ 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? $10$ 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$]$