formulate linear programming model to determine the best daily schedule considering the batching requirments.

just formulate a linear programming model for the mouthwash philippines

MOUTHWASH PHILIPPINES manufactures two grades of mouthwash for the retail market. The company must supply 600 gallons of green mouthwash and 200 gallons of blue mouthwash a day. It uses two vats whose capacities are 25 (Vat A) and 50 (Vat B) gallons to produce the mouthwashes. It takes an hour to produce a batch in Vat A, costing $30 /hour, and 1.5 hours per batch in Vat B, which costs $35 /hour. The company works a two-shift day ( 16 hours). Green mouthwash sells for $5 per gallon and must include at least 45% of liquid " p " (which costs $2 /gallon) and not more than 25% of specially distilled water (cost of $0.50 /gallon). Blue mouthwash sells for $4 per gallon and must include at least 25% liquid " p " and not more than 50% water. The remaining ingredients consist of special fillers that cost $1/ gallon. Formulate a linear programming model to determine the best daily schedule considering the batching requirements