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

question 71

Multiple Choice

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 Y₂ d.MIN: 60 Y₁ + 80 Y₂

---

Definitions:

Sample Size

The number of observations or individuals sampled from a population for the purpose of a study or experiment.

Population Size

The total number of individuals or units in the group that is being studied.

Sum of Scores

The total value obtained by adding together all scores or values in a data set.

Median

The median is the central number that splits a dataset into two equal parts.