Jeff heun, president of vaughn always, agrees to construct a concrete cart path at dakota golf club. vaughn always enters into a contract with dakota to construct the path for $183,000. in addition, as part of the contract, a performance bonus of $38,800 will be paid based on the timing of completion. the performance bonus will be paid fully if completed by the agreed-upon date. the performance bonus decreases by $9,700 per week for every week beyond the agreed-upon completion date. jeff has been involved in a number of contracts that had performance bonuses as part of the agreement in the past. as a result, he is fairly confident that he will receive a good portion of the performance bonus. jeff estimates, given the constraints of his schedule related to other jobs , that there is 55% probability that he will complete the project on time, a 25% probability that he will be 1 week late, and a 20% probability that he will be 2 weeks late.