Table 9.10
A firm of four departments has the following
trip matrix and current block plan of all departments:
Trips Between Departments
$$\begin{array} { | c | c | c | c | c | }
\hline & \mathrm { A } & \mathrm { B } & \mathrm { C } & \mathrm { D } \
\hline \mathrm { A } & - & 12 & 10 & 8 \
\mathrm {~B} & & - & 20 & 6 \
\mathrm { C } & & & - & 0 \
\mathrm { D } & & & & - \
\hline
\end{array}$$
Current Layout
$$\begin{array} { | c | c | }
\hline A & B \
\hline C & D \
\hline
\end{array}$$
-Use the information in Table 9.10.An analyst recommends the following new block plan.
$$\begin{array} { | c | c | }
\hline A & B \
\hline D & C \
\hline
\end{array}$$
What is the load-distance score for the new layout?
A) less than or equal to 60
B) more than 60 but less than or equal to 75
C) more than 75 but less than or equal to 90
D) more than 90

Question

Table 9.10
A firm of four departments has the following
trip matrix and current block plan of all departments:
Trips Between Departments
 $$\begin{array} { | c | c | c | c | c | } 
\hline & \mathrm { A } & \mathrm { B } & \mathrm { C } & \mathrm { D } \
\hline \mathrm { A } & - & 12 & 10 & 8 \
\mathrm {~B} & & - & 20 & 6 \
\mathrm { C } & & & - & 0 \
\mathrm { D } & & & & - \
\hline
\end{array}$$ 
Current Layout
 $$\begin{array} { | c | c | } 
\hline A & B \
\hline C & D \
\hline
\end{array}$$
-Use the information in Table 9.10.An analyst recommends the following new block plan.
$$\begin{array} { | c | c | } 
\hline A & B \
\hline D & C \
\hline
\end{array}$$
What is the load-distance score for the new layout?
A) less than or equal to 60
B) more than 60 but less than or equal to 75
C) more than 75 but less than or equal to 90
D) more than 90

Quizplus · Accepted Answer

To calculate the load-distance score for the new layout, we need to calculate the product of each flow (number of trips) and the distance between the centers of the corresponding departments in the new layout, and then sum these products over all pairs of departments.

The distances between the department centers can be estimated based on the block plan. The distance between A and B remains the same, but the distance between A and D, and between B and C, increases to 2 units. The distance between C and D remains the same.

The load-distance score for the new layout is:

LD = 12(0) + 10(2) + 8(2) + 20(2) + 6(2) + 0(0) = 76

Therefore, the answer is B, more than 60 but less than or equal to 75, as 76 falls within this range.

The recommended block plan improves the previous block plan by reducing the total load-distance score, which indicates a reduction in the total material handling cost.

Table 910 a Firm of Four Departments Has the Following Trip

Table 910
a Firm of Four Departments Has the Following
Trip