Use This Scenario for the Following Question(s) -Refer to the Scenario Above

question 29

Multiple Choice

Use this scenario for the following question(s) .
The process design team at a manufacturer has broken an assembly process into eight basic steps, each with a required time, and predecessor as shown in the table. There are 7.5 productive hours available in a day and the manufacturer wishes to produce 400 units. Balance the line by assigning tasks to workstations to fill up as much takt time as possible. Break ties by assigning the longest task first.
$$\begin{array} { | c | c | c | } \hline \text { Task } & \text { Time } ( \mathrm { sec } ) & \text { Predecessor } \\\hline \text { A } & 45 & \cdots \\\hline \text { B } & 50 & \text { A } \\\hline \text { C } & 20 & \text { A } \\\hline \text { D } & 55 & \text { A } \\\hline \text { E } & 15 & \text { D } \\\hline \text { F } & 65 & \text { D } \\\hline \text { G } & 25 & \text { E } \\\hline \text { H } & 35 & \text { B, C, F, G } \\\hline\end{array}$$
-Refer to the scenario above. How many workstations must be added to increase the output rate to one unit per minute?

• A)1
• B)2
• C)3
• D)4

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Definitions:

Linear Optimization Models

Mathematical models that optimize (maximize or minimize) a linear objective function, subject to a set of linear constraints.

Basic Solver

An optimization algorithm tool used in mathematical programming and operations research to find an optimal solution by varying multiple inputs within given constraints.

Solving Method

A systematic approach or strategy used to find solutions to problems, often involving mathematical or logical operations.

Binding Constraint

A limitation or restriction in a mathematical problem, such as linear programming, that dictates the feasible region and directly influences the optimal solution.