A Food Processing Company Makes Meatloaf to Be Sold in the Frozen

Essay

A food processing company makes meatloaf to be sold in the frozen food section of supermarkets.Each week, the recipe used changes based on the current cost of ingredients. Ingredients and current costs are as shown below:
$\begin{array}{ll}\text { Ingredient }&\text { Cost/pound }\\\text { pork } & \$ 2.87 \\\text { hamburger } & \$ 1.63 \\\text { wheat filler } & \$ 0.22 \\\text { corn filler } & \$ 0.16\end{array}$
For each batch made, at least 300 pounds of pork and 100 pounds of hamburger are required. No more than 200 pounds of wheat filler can be used per batch, and the amount of corn filler has to range between 50 and 150 pounds. Moreover, each batch must contain at least 500 pounds of meat and no more than 200 pounds of filler.
a. What is the objective function if the company seeks to minimize costs?
b. If x₁ is the amount of pork used, what are the constraints associated with it?
c. If x₃ is the amount of wheat filler used, what are the constraints associated with it?