linear programming problem

Consider the linear programming problem below:

Max 3A + 2B

s.t.

1A + 1B is less than or equal to 10

3A + 1B is less than or equal to 24

1A + 2B is less than or equal to 16

A, B is greater than or equal to 0

a. Use Management Scientist to solve the problem.

b. If the objective function coefficient for A changes from 3 to 5, does the optimal solution changes? why?

c. If the objective function coefficient for A remains 3, but the objective function coefficient for B varies from 2 to 4, does the optimal solution changes? why?