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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 certain constraints that must be placed on production, time, and cost. 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. To find the minimum-cost production schedule, we arrive at the following linear program: Let A = number of gallons of product A. Let B = number of gallons of product B. 2A + 38 Min s.t. 14 2 125 1A + 182350 2A + 185 600 AB 20 Demand for product A Total production Processing time Discuss what happens to the M&D Chemicals problem above (and in Section 2.5) if the cost per gallon for product A is increased to $3.00 per gallon. Formulate a new linear programming model that can be used to determine the number of products A and B in order to minimize the total production cost. (Let A represent the number of gallons of Product A and let B represent the number of gallons of Product B.) Min s.t. Demand for Product A Total Production Processing Time A,B20 What is an optimal solution? (A,B)-( Interpret your results. (Select all that apply.) The demand for Product A has increased. The problem is now infeasible. The feasible region is now unbounded. (250, 100) is no longer an optimal solution. Multiple optimal solutions exist. 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 certain constraints that must be placed on production, time, and cost. 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. To find the minimum-cost production schedule, we arrive at the following linear program: Let A = number of gallons of product A. Let B = number of gallons of product B. 2A + 38 Min s.t. 14 2 125 1A + 182350 2A + 185 600 AB 20 Demand for product A Total production Processing time Discuss what happens to the M&D Chemicals problem above (and in Section 2.5) if the cost per gallon for product A is increased to $3.00 per gallon. Formulate a new linear programming model that can be used to determine the number of products A and B in order to minimize the total production cost. (Let A represent the number of gallons of Product A and let B represent the number of gallons of Product B.) Min s.t. Demand for Product A Total Production Processing Time A,B20 What is an optimal solution? (A,B)-( Interpret your results. (Select all that apply.) The demand for Product A has increased. The problem is now infeasible. The feasible region is now unbounded. (250, 100) is no longer an optimal solution. Multiple optimal solutions exist