project manager estimates a project will take $14$ weeks at a cost of $$60,000.$ In signing the contract documents, the customer imposes a penalty for late completion of $$2,000$ per week for every week above $9$ weeks.The function manager estimates that themaximum possible crashing of the project duration is $4$ weeks at an additional cost of $$9,000.$ Assuming that the project manager is going to make the decision and that cost is the driving criteria for the project manager's organization, what is the expected project cost?