The Widget Maker Company is bidding for a new job that requires building four widget prototypes. The company has never built the particular widget before, but its experts believe that its designers and workers will be able to pick it up with a learning rate of 80%. The activity of designing and building prototypes will gain from this learning rate for at least five cycles. The proposal team has come up with the following action plan and effort estimates for producing the four units. S. No. Task 1 2 3 4 5 6 7 8 9 10 11 12 13 14 Effort in hrs Precedence 36 18 Concept development Design framework Design and build first prototype Ship to customer Analyze feedback Design and build second prototype Ship to customer Analyze feedback Design and build third prototype Ship to customer Analyze feedback Design and build final prototype 46.1 Ship to customer 3.6 Update customer design knowledge base 18 72 3.6 14.4 57.6 3.6 14.4 50.6 3.6 14.4 1FS 2FS 3FS 4FS+2 weeks lag 3FS 6FS 7FS+2 weeks lag 5FS, 6FS 9FS 10FS+2weeks lag 8FS, 9FS 12FS 11FS, 13FS The company plans its work assuming a 90% efficiency of its staff members. Task 2, Design framework, and Task 14, Update design knowledge base, require an expert designer who is available only 50% of the time due to other commitments. The company has an average labor rate of $50/hour. The benefit rate is 30%. Its overhead costs are 50% and its profit margin is 20%. The project plans are to be developed assuming 8 hours per working day and 5 working days per week. A. Provide a table with estimated durations for each task taking efficiency and availability in consideration where applicable. Please round to the nearest tenth of an hour. (30 points) HINT: provide a table with a column for allocated hr (efficiency) and a column for total task duration hr for each task. B. What is the total project duration in calendar weeks and completion date that the company should propose? Assume a start date of Monday, 6 February 2023, and that the company believes its estimates already are generous and no additional time buffer is needed. (10 points) C. What is the amount that the company should bid for this project? (10 points)