Q1) Construction site requires moving quantities of fill from 4 bunkers to 7 sites. Table shows move distances between points as well as quantities available and those needed. Calculate the moves which minimize distance times volume moved to accomplish plan.
|
Qty Needed
|
Distance from Fill Bunkers to sites (miles)
|
|
Site
|
(cubic ft)
|
A
|
B
|
C
|
D
|
|
1
|
247
|
26
|
28
|
20
|
26
|
|
2
|
394
|
12
|
14
|
26
|
10
|
|
3
|
265
|
10
|
12
|
20
|
4
|
|
4
|
105
|
18
|
20
|
2
|
16
|
|
5
|
90
|
11
|
13
|
6
|
24
|
|
6
|
85
|
8
|
10
|
22
|
14
|
|
7
|
145
|
20
|
22
|
18
|
21
|
Engineering should build 500 square feet, rectangular heat exchanger pool. Exchanger pool should be 8 feet deep and its length should be at least twice its width. There is room sufficient to have at most 15 foot width.
Minimize cost by minimizing area of exchanger walls.
Determine the dimensions of resulting exchanger?
What occurs if Engineering limits pool to 25 feet in length?