Problem 5.

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 $62K.

Unknown to the PM, there was a contract executed whereby it was was agreed that there would be a $5K 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).

Normal				Crash
Activity	Time	Cost		Time	Cost	Additional Cost per Week
A	3	$6		2	$8	$2
B	5	$12		4	$13.5	$1.5
C	5	$16		3	$22	$3
D	4	$8		2	$10	$1
E	2	$6		1	$7.5	$1.5
F	3	$14		1	$20	$3
	Total	$62

What is the minimum amount of additional funding (beyond the project budget of $62K) the PM should request (given the contractual penalty provision)?