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 goal programming constraint for the first goal is:

A) 3_x1 + d₁^- - d₁+ = 125
B) 3_x1 - d₁^- + d₁+ = 125
C) 1_x1 + d₁^-- d₁+ = 125
D) 1_x1 - d₁^-+ d₁+ = 125