M&D Chemicals produces two products that are sold as raw materials to companies manufacturing bath soaps and laundry detergents. Based on an analysis of current inventory levels and potential demand for the coming month, M&D's management specified that the combined production for products A and B must total at least 380 gallons. Separately, a major customer's order for 115 gallons of product A must also be satisfied. Product A requires 2 hours of processing time per gallon and product B requires 1 hour of processing time per gallon. For the coming month, 660 hours of processing time are available. M&D's objective is to satisfy these requirements at a minimum total production cost. Production costs are $2 per gallon for product A and $3 per gallon for product B. The linear programming model with production times expressed in hours is as follows where A is the number of gallons of product A and B is the number of gallons of product B. Min 2A + 3B S.t. 1A 2 115 Demand for product A 1A + 18 2 380 Total production 2A + 18 = 660 Processing time A, B 20 Identify the three extreme-point solutions for the M&D Chemicals problem. Identify the value of the objective function and the values of the slack and surplus variables at each extreme point. (Order your answers from smallest to largest A, then from smallest to largest B.) Extreme Point Coordinates Objective Function Value (in dollars) Surplus Demand Product A Surplus Total Production Slack Processing Time (in hours) (A, B) = $ hr (A, B) = $ hr (A, B) = hr