Please answer the following:

1. a) A linear programming problem was developed, and the feasible region was found. If the additional restriction that all variables must be integers were added to the problem, how would the size of the feasible region change? How would the optimal value of the objective function change? Be specific with your response.

b) In the LP binary application, you are using a mathematical model to make choices based on the objective function goals to maximize or minimize. The process helps you determine what choices to keep and which choices to eliminate.As you approach graduation, you are exploring career opportunities. There are many factors to consider in making a decision. One example can be housing affordability. If you were to use linear programming with binary choices in choosing the right job for you, what would be the goal of the objective function, and what factors (constraints) do you need to take into consideration?

You can write your response in the format of linear programming with an objective function subject to the constraints you need to address.