$14-11.$ The following project carries a penalty cost of $$200/$day $($$$1,400/$week$)$ for any delay in completion beyond $26$ weeks. Any task can be accelerated by up to three weeks at a cost of $$1,000$ per week reduction. Draw an AOA diagram, identify the critical path and duration, and determine which task$($s$),$ if any, you will crash, and by how much, to minimize project cost.