A pharmaceutical firm produces two grades of mouthwash for the retail market. The firm must supply 600 gallons of green mouthwash and 200 gallons of blue mouthwash a day. It uses two vats whose capacities arc 25 (Vat A) and 50 (Vat B) gallons to produce the mouthwashes. It takes an hour to produce a hatch in Vat A, costing 530/hour, and 1.5 hours per hatch in Vat 13, which costs $35/hour. The company works a two-shift day (16 hours). Green mouthwash sells for $5/gallon and must include at least 45 percent of liquid p" (which costs $2/gallon) and not more than 25 percent of specially distilled water (cost of $0.50/gallon). Blue mouthwash sells for $4/gallon and must include at least 25 percent of liquid p and not more than 50 percent water. The remaining ingredients consist of special fillers that cost $1/gallon. Draw an influence diagram and find the best daily schedule to maximize profits, considering the batching requirements.