Consider the following two projects.

$\backslash$table$[[$Project A:$,-1,000,500,500,280],[$Project B:$,-1,000,430,430,430],[$NPV Profile$]]$

a$)$ Find r$1($crossover rate$),2,$ and r $3.(9$ pts $)$

b$)$ If the project's cost of capital is $10\%$ and the projects are mutually exclusive $($only highest NPV project should be chosen$),$ what project do you have to choose? What if the project's cost of capital is $3\%?(10$ pts $)$