Bauer Industries is an automobile manufacturer. Managementis currently evaluating a proposal to build a plant that will manufacture lightweighttrucks. Bauer plans to use a cost of capital of 12% to evaluate this project.Based on extensive research, it has prepared the following incremental freecash flow projections (in millions of dollars): , ,a. For this base-case scenario, what is the NPV of the plantto manufacture lightweight trucks? ,b. Based on input from the marketing department, Bauer isuncertain about its revenue forecast. In particular, management would like toexamine the sensitivity of the NPV to the revenue assumptions. What is the NPVof this project if revenues are 10% higher than forecast? What is the NPV ifrevenues are 10% lower than forecast? ,c. Rather than assuming that cash flows for this project areconstant, management would like to explore the sensitivity of its analysis topossible growth in revenues and operating expenses. Specifically, managementwould like to assume that revenues, manufacturing expenses, and marketingexpenses are as given in the table for year 1 and grow by 2% per year everyyear starting in year 2. Management also plans to assume that the initialcapital expenditures (and therefore depreciation), additions to workingcapital, and continuation value remain as initially specified in the table.What is the NPV of this project under these alternative assumptions? How doesthe NPV change if the revenues and operating expenses grow by 5% per year ratherthan by 2%? ,d. To examine the sensitivity of this project to thediscount rate, management would like to compute the NPV for different discountrates. Create a graph, with the discount rate on the x-axis and the NPV on they-axis, for discount rates ranging from 5% to 30%. For what ranges of discountrates does the project have a positive NPV?