An Ice Cream Shop Sells Single Scoop Ice Cream Cones

Essay

An ice cream shop sells single scoop ice cream cones that come in three flavors: chocolate only,vanilla only,and chocolate-vanilla twist.The cones are prepackaged and sold to a supermarket daily.The ingredients used along with the minimum demand of each flavor are shown as follows:
$$\begin{array}{l}\begin{array} { l l l l } & &\underline{ \text { Ice Cream Flavor }} \\& \underline{\text { Chocolate } }&\underline{ \text { Vanilla } }& \underline{\text { Chocolate-Vanilla }} \\\text { Ingredient: } & & & \\\text { Chocolate } & 4 \mathrm { oz } & 0 \mathrm { oz } . & 3 \mathrm { oz } . \\\text { Vanilla } & 0 \mathrm { oz } & 4 \mathrm { oz } & 2 \mathrm { oz } .\end{array}\\\end{array}$$

$\text { Min daily demand: } \quad 20 \text { scoops }\quad 15 \text { scoops } \quad \quad \quad \quad 10 \text { scoops }$

Each day,40 pounds of chocolate and 38 pounds of vanilla are supplied to the ice cream shop from an outside vendor.The chocolate,vanilla,and chocolate-vanilla twist each yield a profit of $2.00,$2.50,and $3.00 per cone,respectively.How many chocolate,vanilla,and chocolate-vanilla twist cones must prepackage daily to maximize daily profits?