SOLUTION: The weight of a cement truck on its way to a construction site is given by W= 1200 +50m, where W is the combined weight of the truck and its contents in Ibs and m is the weight of

Question 1171012: The weight of a cement truck on its way to a construction site is given by W= 1200 +50m, where W is the combined weight of the truck and its contents in Ibs and m is the weight of each cubic metre of cement.
The truck must pass over a bridge with a maximum weight of 10, 000Ibs.
To be cost effective, the truck needs to carry at least 100m^3 per trip
Determine the possible values for W and m in this situation.
Found 3 solutions by CubeyThePenguin, ikleyn, greenestamps:
Answer by CubeyThePenguin(3113)   (Show Source): You can put this solution on YOUR website!
10000 = 1200 + 50m

Solve to find m = 176, so the truck can carry 176 pounds maximum.

So, m can be any value from 100 to 176 and W can be any value from 6200 to 10000.
Answer by ikleyn(52798)   (Show Source): You can put this solution on YOUR website!
.
The weight of a cement truck on its way to a construction site is given by W= 1200 +50m, where W is
the combined weight of the truck and its contents in Ibs and m is the weight of each cubic metre of cement.
The truck must pass over a bridge with a maximum weight of 10, 000Ibs.
To be cost effective, the truck needs to carry at least 100m^3 per trip
Determine the possible values for W and m in this situation.
~~~~~~~~~~~~~~

Excuse me,

as the problem is worded, printed, posted and presented, it is NONSENSICAL.

I do not solve problems, formulated in nonsensical way, in principle.

Also, I do not want to explain, WHY it is nonsensical.

It is not my job or my duty at this forum.

In opposite, it is the job and the responsibility of a visitor to provide a correct input.

Answer by greenestamps(13200)   (Show Source): You can put this solution on YOUR website!

The maximum weight of the truck on the bridge limits the amount of cement to at most 176 cubic meters.

The cost effectiveness constraint means that the amount of cement in each load must be at least 100 cubic meters.

ANSWERS:

The number of cubic meters of cement can be any number from 100 to 176, inclusive.

The weight of a truck with 100 cubic meters of cement is 1200+50(100) = 6200 pounds. The weight of a truck with 176 cubic meters of cement we already know is 10000 pounds. So the possible weights of the trucks are from 6200 pounds to 10000 pounds, inclusive.

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