SOLUTION: The logistics manager at the factory needs to know the mass of chocolate that will be moving through his warehouse each week for storage and transporting purposes. He also needs t

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Question 118969: The logistics manager at the factory needs to know the mass of chocolate that will be moving through his warehouse each week for storage and transporting purposes. He also needs to know the number of shippers and the weight of each carton in kg given that each shipper takes 6 cartons and each carton takes two dozen bars. Each bar weighs 80g. He bases his calculations on 14 shifts per week
Answer by josmiceli(19441)   (Show Source): You can put this solution on YOUR website!
What seems to be missing information is that there is 1 shipper per
shift, but I'm taking that for granted, since that's usually the case.
The logistics manager wants to know things on a weekly basis.
(1) First he wants to know (grams of chocolate shipped / week)
Let = grams of chocolate shipped per week
Let = kilograms of chocolate per carton
Let = number of shippers shipping chocolate per week
C g/wk = (14 shifts/wk)x(1 shipper/shift)x(6 cartons/shipper)x(24 bars/carton)x
(80 g/bar)
You'll notice that, as far as units go, on the right side, "shifts" is
on the top and bottom and therefore cancels. The same is true for "shipper",
"carton", and "bar". I am left with g/wk = g/wk as I should.
Calculating:
g/wk
g/wk answer
or
mass in kg = (161280 g/wk)x(1 kg / 1000g)
kg
-----------------------
(2) S shippers/wk = (1 shipper/shift)x(14 shifts/wk)

shippers answer
-----------------------
(3) kg / carton = (1 kg / 1000 g)x(24 bars/carton)x(80 g/bar)

kg/carton answer
Notice that, with just units, "g" and "bars" cancel on the right side
and I'm left with kg/carton = kg/carton.

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