The Cavalier Company wishes to make ice cream to sell to hungry students. They have the choice of making 3 flavors (chocolate chip, mint chocolate chip, and Rocky Road). Each scoop of flavor requires different quantities of milk, sugar and chocolate (in ounces), and different processing times (in hours, including freezing time). The requirements of each ingredient for each flavored are listed below.

They would like to produce as much ice cream as possible; however, they only have
a limited amount of each ingredient in their inventory – 35 units of milk, 50 units
of sugar, and 20 units of chocolate. One scoop of chocolate chip, mint chocolate
chip, and Rocky Road sells for $1, $2, and $3 respectively. Formulate a linear
programming model to determine the number of scoops of each flavor to make in
order to maximize the total profit (note that fractional scoops are acceptable – i.e.
the decision variables may be continuous).
Be sure in your solution to explicitly state the parameters, the variables, the
objective, the constraints, and the variable restrictions!