to increase the chances of winning this customer's business you submit a proposal suggesting a fpif contract which guarantees completion within the desired twelve months at a fixed fee with an incentive option. you cleverly price the fixed fee equal to what you would normally budget for an eleven-month (48 week) effort (thus hopefully undercutting the competition), but add an incentive fee that the customer would pay if you deliver the project early (less than 52 weeks) and still meet all technical specifications. you structure the incentive as an additional 5% (of the fixed fee) if you deliver in 11 months, or alternatively 10% (of the fixed fee) if you deliver in 10 months. you want to show this customer that your company will be a great partner going forward, however, you also know that fpif contracts have some risk for the seller, and your investors will want to know what you can expect to earn on this project, so after working up a project cost template you do a quick risk assessment. in your experience, delays in software are the most common risk, but occasionally you've had to crash a project too, so you consider the following possible scenarios: a) your clever master plan works, the original cost estimate proves perfect, and you deliver the project in ten months instead of twelve as expected. b) the project has a few small delays and the software consultant needs an extra 200 hours to develop the code, and the project is completed in eleven months. c) same as (b), but you have to add a third senior engineer in the last three months of the project and barely completes it within the twelve months you guaranteed to the customer. d) same scenario as (c) except the software developer needs an additional 200 hours, and the schedule slips even further, with the project completed in thirteen months (57 wks). for each of these scenarios, find the total payment you expect from the customer, and your total profit in each case. summarize your answers in a table. based on your past experience you