Given the following output for the optimal solution for a 4 variable (named BR, IC, COLA, and PC ) and a 4 resource (constraint) problem; where the optimal objective function value is 1000 (and it is a maximization problem). Please write a short summary that answers the following questions. In addition, share the Python code using Pulp for the four answers. 1. Suppose the price of a BR increases from 50 to 60 and the price of a PC decreases from 80 to 50 . Does the current solution remain optimal (in terms of the variables >0 in the optimal solution)? 2. Suppose the price of a BR increases from 50 to 70 and the price of a PC increases from 80 to 90 . Does the current solution remain optimal (in terms of the variables >0 in the optimal solution)? 3. How much would you pay for an additional unit of Resource 2 (Constraint 2)? 4. Suppose you were to acquire 150 additional units of Resource 1 (Constraint 1), what would your new objective value be? /ariahlo ralle Constraints