=5.13. Consider a resource-allocation problem having the following data:

Resource Usage per Unit of Each Activity Amount of Resource Resource 1 2 Available 1 1 3 8 2 1 1 4 Unit profit $1 $2 The objective is to determine the number of units of each activity to undertake so as to maximize the total profit.

a. Use the graphical method to solve this model.

b. Use graphical analysis to determine the shadow price for each of these resources by solving again after increasing the amount of the resource available by one.