The Mom and Pop Ice Cream Company makes three kinds of chocolate ice cream: regular, premium and super premium. The main ingredients and properties of 1 gallon (gal) of each type are shown in the table:

	Regular	Premium	Super Premium
Flavoring	24 oz	20 oz	22 oz
Milk-fat products	12 oz	20 oz	24 oz
Shipping weight	7.5 lbs	8 lbs	8.5 lbs
Profit	$0.75	$0.95	$1.15

In addition, current commitments require the company to make at least 1 gal of premium for every 4 gal of regular. Each day, the company has available 725 pounds (lb) of flavoring and 425 lb of milk-fat products. If the company can ship no more than 3000 lb of product per day, how many gallons of each type should be produced daily to maximize profit?

Provide the complete linear programing formulation (do not solve). Clearly specify decision variables, objective function and constraints.