Consider the following information: Project Lifespan (years) 12 Cash Inflow (per year) $1,200 $800 $900 $1,200 $3,000 $550 Initial Cost $4,220.50 $1,890.25 $2,310.20 $2,500.05 10 7 4 8 4 $6,167.55 $3,450.10 The discount rate is 10%. Please round all of your answers to the nearest dollar. (Note: You do not need IRR for this question.) a) If you had a $7,000 capital budget, what is the maximum NPV you can generate and which projects would you select to maximize the firm's NPV? b) Now redo part (a) if project 3 and project 6 are contingent (i.e. must be taken together if chosen) - what is the maximum NPV that the firm can generate with a $7,000 capital budget? c) Now what if project 3 and project 6 are contingent (i.e. must be taken together if chosen), and project 4 is mutually exclusive with projects 3+6, what is the maximum NPV the firm can generate with a $7,000 capital budget? d) If the firm had to choose between project 4 and project 5 only (i.e. excluding the other projects), which project would the firm choose? Why? e) Repeat part (a) only with a constraint that the simple payback period cannot surpass 2.5 years. What has changed