1.A company has nine projects under consideration. The NPV added by each project and the capital required by each project during the next two years is shown in the following table. (All numbers are in millions.) For example, project 1 will add $14 million in NPV and require expenditures of $12 million during year 1 and $3 million during year 2. $50 million is available for projects during year 1, and $20 million is available during year 2.

NPV

Year 1 Expenditure

Year 2 Expenditure

Project 1

14

12

3

Project 2

17

54

7

Project 3

17

6

6

Project 4

15

6

2

Project 5

40

30

35

Project 6

12

6

6

Project 7

14

48

4

Project 8

10

36

3

Project 9

12

18

3

a)If we can undertake a fraction of a project, how can we maximize NPV?

b)If we can't undertake a fraction of a project but must undertake all of a project or none of a project, how can we maximize NPV?

Suppose that if project 4 is undertaken, project 5 must be undertaken. How can we maximize NPV?