Chocolate Cookie Inc produces delicious chocolate cookies. The assorted cookies are sold in 3 box sizes: the Large box sold at wholesale stores, the Medium box sold at convenience stores, and the Small box sold at gas stations. The white chocolate, dark chocolate and cookie dough amounts used in each box are detailed below. \begin{tabular}{l|r|r|r|} \hline Ingredient & \multicolumn{1}{|c|}{LargeBox(oz/box)} & \multicolumn{1}{c|}{MediumBox(oz/box)} & \multicolumn{1}{c|}{SmallBox(oz/box)} \\ \hline White & 12 & 10 & 8 \\ \hline Dark & 16 & 14 & 12 \\ \hline Dough & 24 & 20 & 16 \\ \hline \end{tabular} Due to contract with suppliers, every month, the company has to consume at least: Demand is expected not to exceed the following: \begin{tabular}{|l|c|c|c|} \hline & LargeBox(boxes) & MediumBox(boxes) & SmallBox(boxes) \\ \hline Demand & 850 & 1350 & 1050 \\ \hline \end{tabular} The company cannot spend more than $45,000/ month in the production of the chocolate cookies. Production costs per box are detailed below. \begin{tabular}{|l|l|r|r|} \hline & LargeBox($/box) & MediumBox($/box) & \multicolumn{1}{c|}{SmallBox($/box)} \\ \hline Production Cost & 18 & 15 & 12 \\ \hline & & & \end{tabular} The objective is to determine the number of Large, Medium, and Small boxes to produce to maximize total profit. Profit contribution are provided below. Formulate the problem below (enter the mathematical model)