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Company B: $360,000
Company C: $320,000
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Difficulty:
65%
(hard)
Question Stats:
67% (03:04) correct
33%
(03:17)
wrong
based on 1170
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A government project involves laying electrical cables between a national grid and a town being newly established. The total length of wire needed in this project has been estimated to be 500 miles. The cost of wire used is directly proportional to the volume of wire used. The shape of wire is of a long and thin cylinder. Volume of a cylinder is \( πr^2 l \) where r is the radius of the cylinder and l is its length. The project has received three bids from wire manufacturing companies - A, B, and C. The ratio of the radii of the wires used by the three companies is 2:3:4; the ratio of the prices per unit volume of the wires used by the three companies is 3:2:1. The bid by company A is $240,000.
In the table, select the values that represent the approximate value of the bids by company B and company C respectively. Make only two selections, one in each column.
In the table, select the values that represent the approximate value of the bids by company B and company C respectively. Make only two selections, one in each column.
| Company B | Company C | Bid |
| $180,000 | ||
| $320,000 | ||
| $360,000 | ||
| $480,000 | ||
| $640,000 |
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Official Answer
Company B: $360,000
Company C: $320,000
27 Jul 2024, 09:27
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A : B : C
2 : 3 : 4 --ratio of radii given
4 : 9 : 16 --Ratio of volume as volume is proportional to square of radius.
3 : 2 : 1 --ratio of cost per unit volume given
12 : 18 : 16 --Ratio of total cost obtained by multiplying volume and cost per unit volume.
6 : 9 : 8 --Reduced ratio of total cost
6 is total cost of A which is equivalent to 240000
By unitary method 1 is equivalent to 240000/6 = 40000
So for B, 9 is equivalent to 9*4000 = $360,000
for C, 8 is equivalent to 8*4000 = $320,000
2 : 3 : 4 --ratio of radii given
4 : 9 : 16 --Ratio of volume as volume is proportional to square of radius.
3 : 2 : 1 --ratio of cost per unit volume given
12 : 18 : 16 --Ratio of total cost obtained by multiplying volume and cost per unit volume.
6 : 9 : 8 --Reduced ratio of total cost
6 is total cost of A which is equivalent to 240000
By unitary method 1 is equivalent to 240000/6 = 40000
So for B, 9 is equivalent to 9*4000 = $360,000
for C, 8 is equivalent to 8*4000 = $320,000
General Discussion
15 Jun 2024, 17:31
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Let , radii = 2y , 3y and 4y
Per unit cost = 3x , 2x and x,
pi * (2y)^2 * 3x * 500 = 240,000
pi*y^2*x = 40
Hence , for C , it's pi*4^2*y^2*x*500 = 40*16*500 = 320,000
for B , it's pi*9*y^2*2x*500 = 360, 000
Per unit cost = 3x , 2x and x,
pi * (2y)^2 * 3x * 500 = 240,000
pi*y^2*x = 40
Hence , for C , it's pi*4^2*y^2*x*500 = 40*16*500 = 320,000
for B , it's pi*9*y^2*2x*500 = 360, 000
