A company is developing its weekly production plan.The company produces two products,A and B,which are processed in two departments.Setting up each batch of A requires $60 of labor while setting up a batch of B costs
$80) Each unit of A generates a profit of $17 while a unit of B earns a profit of $21.The company can sell all the units it produces.The data for the problem are summarized below.
Hours required by
$\begin{array} { r c c c } \text { Operation } & \text { A } & \text { B } & \text { Hours } \\\hline \text { Cutting } & 3 & 4 & 48 \\\text { Welding } & 2 & 1 & 36\end{array}$
The decision variables are defined as
X_i= the amount of product i produced Y_i= 1 if X_i> 0 and 0 if X_i= 0
What is the objective function for this problem?

Question

A company is developing its weekly production plan.The company produces two products,A and B,which are processed in two departments.Setting up each batch of A requires $60 of labor while setting up a batch of B costs
$80) Each unit of A generates a profit of $17 while a unit of B earns a profit of $21.The company can sell all the units it produces.The data for the problem are summarized below.
Hours required by

\begin{array} { r c c c } \text { Operation } & \text { A } & \text { B } & \text { Hours } \\\hline \text { Cutting } & 3 & 4 & 48 \\\text { Welding } & 2 & 1 & 36\end{array}

The decision variables are defined as
X_i= the amount of product i produced Y_i= 1 if X_i> 0 and 0 if X_i= 0
What is the objective function for this problem?

Quizplus · Accepted Answer

The Answer of A company is developing its weekly production plan.The company produces two products,A and B,which are processed in two departments.Setting up each batch of A requires $60 of labor while setting up a batch of B costs $80)Each unit of A generates a profit of $17 while a unit of B earns a profit of $21.The company can sell all the units it produces.The data for the problem are summarized below. Hours required by $$\begin{array} { r c c c } \text { Operation } & \text { A } & \text { B } & \text { Hours } \ \hline \text { Cutting } & 3 & 4 & 48 \ \text { Welding } & 2 & 1 & 36 \end{array}$$ The decision variables are defined as X_i= the amount of product i produced Y_i= 1 if X_i> 0 and 0 if X_i= 0 What is the objective function for this problem? A)MAX: 17 X₁+ 21 X₂ B)MAX: 17 X₁+ 21 X₂? 60 Y₁? 80 Y₂ C)MIN: 17 X₁+ 21 X₂? 60 Y₁? 80 Y₂d.MIN: 60 Y₁+ 80 Y₂

A Company Is Developing Its Weekly Production Plan The Decision Variables Are Defined as Xi = the Amount

A Company Is Developing Its Weekly Production Plan The Decision Variables Are Defined as
X_i= the Amount