The New England Maple Sugar Company of Los Angeles prepares 2types of maple syrup from maple flavoring and water – called maplebase – and sugar. One gallon of ExtraMaple syruprequires 2 gallons of maple base and 4 pounds of sugar, and eachgallon of regular maple syrup requires 5 gallons of base and 2points of sugar. This week the company has 10,000gallons of maple base and 8800 pounds of sugar. Companyrecords indicate that at most 1800 gallons of ExtraMaple syrup canbe sold in a week and syrup that is not sold cannot be counted inthis week’s sales figures. There is a net profit of $3per gallon of regular maple syrup and $5 per gallon of ExtraMaplesyrup. Apply linear programming to determine how manygallons of each type should be produced to maximize net profit thisweek.
List the constraints and the objective function.
