2. Optimization: Find the value of the decision variable, x, that maximizes the objective function, y, if y = 100x - 2x2. 3. Calculating Profits: An entrepreneur takes a one year leave of absence from her job, which pays $70,000 per year, to open a record store. It costs $5,000 per year to rent the storefront for the record store, and average variable cost per record is $5. If she is paid $15 per record, what are her economic profits if she sells 15,000 records in a year