Riverside Industries Makes Two Products and Each Product Is Processed

Multiple Choice

Riverside Industries makes two products and each product is processed in three departments. The time requirements for each product in each department are given below. The profit for each product is also provided as well as the available hours in each department.
$$\begin{array} { c c c c c } \text { Product } & \text { Department A } & \text { Department B } & \text { Department C } & \text { Profit } \\\mathbf { 1 } & 3 & 4 & 2 & 1 \\\mathbf { 2 } & 2 & 1 & 2 & 2\\Available~ Hours&600&400&400\end{array}$$ Management wants to achieve three goals. The first two goals are equal in priority.
Priority 1: Produce at least 125 units of product 1.
Priority 1: Produce at least 80 units of product 2.
Priority 2: Achieve a profit of at least 300.
-The objective function for this goal program is:

A) Min P₁d₁- + P₁d_2-, P₂d_3-
B) Min P₁d₁₊ + P₁d_2-,P₂d_3-
C) Min P₁d_1- + P₁d₂₊, P₂d_33-
D) Min P₁d_1- + P₁d_2-, P₂d₃₊