Question

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

List the constraints and the objective function.

Answer 1