Consider the following resource-allocation problem. The objective is to determine the number of units of each activity to undertake so as to maximize the profit. Resource Usage per Unit of each activity Amount of Resource Available Resource A B C 1 1 2 2 20 2 1 3 1 25 3 2 1 3 35 Unit Profit in ($) 2 4 3 a. Suppose the available resource 1 changes to 15. What could be said about the change in total profit?b. Graph the feasible region. Use this graph to identify all the corner points. c. Use the spreadsheet to determine the total profit for each of these corner points. Then use this information to identify an optimal solution.
d. Use Solver (which applies the simplex method) to confirm this optimal solution.
e. Use the graphical method to confirm this optimal solution.