Linear Programming In this assignment, you will be practicing linear programming and the graphing on paper that comes with that. For the problem, you will need to: Identify the unknowns of the problem and clearly assign a variable to each one, making sure to define it for me (so I know). Write a complete system of inequalities to model the constraints of the problem. This should include ALL constraints (including if restricted to positive values). Write an objective function for the problem. Graph the feasible region, your axes should be labeled appropriately, and your scale should be clear. You your scale should be such that your intercepts use most of the two axes. Identify the corner points (all of them). Find the optimal value for the objective function. State the solution to the problem in sentence form including appropriate units A summer camp wants to hire counselors and aides to fill its staffing needs at a minimum cost. The average monthly salary for a counselor is $2400 and an aide is $1100. The camp can accommodate a maximum of 45 staff members and needs at least 30 to run properly. They must have at least 10 aides and may have up to 3 aides for each 2 counselors. How many counselors and how many aides should they hire to minimize costs