Consider the following nonlinear programming problem.
Maximize.......Profit = x5 - 13x4 + 59x3 - 107x2 + 61x
subject to
0 ≤ x ≤ 5
a. Formulate this problem in a spreadsheet and then use the Nonlinear Solver and the Multistart feature to solve this problem.
b. Use RSPE's Analyze without Solving feature to determine what type of model this is.
c. Use Evolutionary Solver to solve this problem.