On May $1$st$,$ the PM sent a memo to their boss stating that Project X would require $13$ weeks to complete $($see network logic below activity on node diagraming$)$ at a total project cost of $$62$K$.$ Unknown to the PM$,$ there was a contract executed whereby it was was agreed that there would be a $$5$K penalty payment per week for every week the project exceeds six $(6)$ weeks.$$As such, the PM developed the following costing $($all costs are in Ks$)$ and timing matrix $($all timings are in weeks$).$ What is the minimum amount of additional funding $($beyond the project budget of $$62$K$)$ the PM should request $($given the contractual penalty provision$)$