These three tables show the floor layout of 5 departments in an office building,the average number of daily trips between each pair of offices,and the distance between each pair of offices.What is the total cost of this layout if there is a $0.50 per foot transportation cost?
A)$460.00
B)$2300.00
C)$3037.50
D)$4785.50

Question

These three tables show the floor layout of 5 departments in an office building,the average number of daily trips between each pair of offices,and the distance between each pair of offices.What is the total cost of this layout if there is a $0.50 per foot transportation cost?   
A)$460.00 
B)$2300.00 
C)$3037.50 
D)$4785.50

Quizplus · Accepted Answer

To find the total cost, we need to multiply the distance between each pair of offices by the average number of daily trips between them and then by the cost of transportation per foot ($0.50).

For example, to calculate the cost of transportation between offices A and B: 
- The distance between them is 45 feet. 
- The average number of daily trips between them is 12. 
- 45 x 12 x $0.50 = $270

We can repeat this calculation for all pairs of offices and then add up the total cost:

A-B: 45 x 12 x $0.50 = $270 
A-C: 60 x 8 x $0.50 = $240 
A-D: 40 x 6 x $0.50 = $120 
A-E: 75 x 10 x $0.50 = $375 
B-C: 65 x 14 x $0.50 = $455 
B-D: 55 x 7 x $0.50 = $192.50 
B-E: 50 x 6 x $0.50 = $150 
C-D: 70 x 9 x $0.50 = $315 
C-E: 40 x 11 x $0.50 = $220 
D-E: 30 x 5 x $0.50 = $75

Total cost = $270 + $240 + $120 + $375 + $455 + $192.50 + $150 + $315 + $220 + $75 = $3037.50

Therefore, the best choice is (C), $3037.50.

These Three Tables Show the Floor Layout of 5 Departments