1. (8 pts) Sally needs to report the results of a linear program at work using whole numbers (integers - no decimals or fractions). She decides that instead of using integer programming she will round her answers to the nearest whole number. a. (3 pts) In what type of situation would it be inappropriate for Sally to round her LP answer instead of doing integer programming? Give an example. b. (3 pts) In what type of situation would it be appropriate for Sally to round her LP answer instead of doing integer programming? Give an example. c. (2 pts) In a maximization linear program where you only have less than constraints, will the integer programming solution ever be greater than the LP relaxation solution? Why?