A small candy shop is preparing for the holiday season. The owners must decide how many bags of deluxe mix and how many bags of standard mix of their Peanut/Raisin Delite to prepare. Deluxe mix has 2/3 of a pound of raisins and 1/3 of a pound of peanuts, and standard mix has 1/2 of a pound of raisins and 1/2 of a pound of peanuts per bag.

The shop has 90 pounds of raisins and 60 pounds of peanuts to work with. Peanuts cost $.60 per pound and raisins cost $1.50 per pound.

The deluxe mix sells for $3.30 for a one-pound bag, and the standard mix sells for $2.95 for a one-pound bag.

The owner estimates that no more than 150 bags of one type can be sold.

Hint: Calculate the cost per pound and then profit per pound for each mix type.

a. Using the graphical method, if the goal is to maximize profits, how many bags of each type should be prepared?