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
Using the approach discussed in the text,what is the appropriate value for M₁in the linking constraint for product A?

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
Using the approach discussed in the text,what is the appropriate value for M₁in the linking constraint for product A?

Quizplus · Accepted Answer

The appropriate value for M₁ in the linking constraint for product A can be determined by dividing the setup cost for A by the total number of hours required for A, which is (60/16)=3.75. Since M₁ must be an integer, the best choice is 16, which gives a setup cost of 60/16 = 3.75. Therefore, the correct answer is C.

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