INSTRUCTIONS: For the mathematical models either use Word Equations, or write down the formulas on a paper, take a photo you MUST upload the word file and an Excel Workbook. For the optimization problems, you must use the Excel solve

Question 2) (30 points) Consider the following ride matching problem where at a given time of the day in a region, we have 3 customers and 4 drivers. We want to match drivers to customers to maximize the total profit of matching. The prot of matching each customer and each driver is given in the table beiow. A driver can be assigned to at most one customer, and a customer can be assigned to at most one driver. a} Formulate a mathematical optimization model to maximize the total profit for this problem. Clearly specify decision variables, objective function, and constraints. Answer: Notation and denition of the decision variables: Objective function: Constrain: b) Use Excel solver to solve this problem. What is the maximum total profit? Which Driver is not assigned to any customer? Answer: Maximum total prot: Driver that is not assigned