Reconsider Problem 8.12, but now assume that the amount of resource 1 available and the amount of resource 2 available are both uncertain. In particular, each follows the normal distribution, with means equal to the original estimates of 8 and 4, respectively, but each with a standard deviation of 0.5. Use a chance constraint and Analytic Solver to find the maximum profit while requiring for each original constraint that there be at least a 95 percent chance of satisfying that constraint.

Data from Problem 8.12

Consider a resource-allocation problem having the following data:

 

The objective is to determine the number of units of each activity to undertake so as to maximize the total profit.

Transcribed Image Text:

Resource 1 2 Unit profit Resource Usage per Unit of Each Activity 1 1 1 $1 2 3 لیا 1 1 $2 Amount of Resource Available 8 4