apply the proper mathematical models (linear programming, payoff table, regression analysis) to solve the following problem and answer the corresponding questions.

Problem

RevolutionX is a startup tech company in robotics. The management is considering three different configurations for their new model, RobX. The three configurations are Prime, Limited, and Ultimate. The data for each of the configurations (per unit) is given in the following table. RevolutionX needs to find the optimal production of each of the configurations to maximize total profit.

Configuration	Profit ($)	Funding Needed ($)	Assembly (hrs)	Material (units)
Prime	1500	4500	45	32
Limited	2100	5300	61	41
Ultimate	3200	7100	83	63

Based on the marketing data the production of the Ultimate configuration cannot exceed the production of Prime and Limited configurations combined. Furthermore, the production of Prime and Limited configurations must be equal.

The available funding could be 1, 2, 3, or 4 million dollars with the corresponding probabilities

\f\f\f\f\f