Sousthem Oil Company producrs two grades of gasolane: regular and premium. The profit contributions are 50.30 per gallon for regular gasoline and \$0.50 per gallon for premaum gasoline. Each gallon of regular gasoline contains 0.3 gallons of grade A crude of and each gallon of premium gasoline contains 0.6 gallons of grade A crude oil. For the next production penod, Southem has 18,000 gallons of grade A crude of avalable. The refinery used to produce the gasolines has a production capacity of 50,000 gallons for the next production penod. 5outhem od's destributors have indicated that demand for the premium gasoline for the next production period wilt be at most. 20,000 gallons. a. Formulate a linear programming modef that can be used to determine the number of gallons of regular gasoline and the number of gallons of premium gasoline that should be produced in order to maximize total profit contribution. If required, round your answers to two decimal places. Let R= number of gallons of regular gasolane produced b. What is the optimal solution? c. What are the values and interpretations of the slack variables? d. What are the binding constraints