A machine in a factory uses between 150 and 220 kilowatt-hours of

Question

A machine in a factory uses between 150 and 220 kilowatt-hours of electricity, inclusive, to produce two widgets. What is the maximum number of widgets the machine could produce using 3,450 kilowatt-hours of electricity?

A. 46
B. 30
C. 23
D. 16
E. 15

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XLmafia21 · Answer

to produce max number of widgets, consumption should be minimum. 
So machine needs to consume 150 kwh to produce 2 widgets.
3450 kwh = 150 kwh X 23
As each consumption unit is used to produce 2 units. So, 23 x 2 = 46 units.
hence, A

satish_sahoo · Answer

Rate of the machine is between  \frac{2}{150}  to  \frac{2}{220} . The rate of  \frac{2}{150}  is the more efficient rate where max production can happen.

Now, using  work = rate*time

Time=  3,450  kilowatt-hours
Rate =  \frac{2}{150}  widgets per Kilowatt-hrs
Work =  3450*\frac{2}{150}= 46  Widgets

I think A.

Hope it helps.

Ayeka · Answer

To maximise the number of widgets, the consumption should be minimum. 
Rate= Work/Time= 2/150 
Time= 3,450 
Maximum number of widgets the machine can produce using 3,450 kw-hrs of electricity
=3450*(2/150)
=46 Widgets

Answer: A

Abdelaali91 · Answer

To find the maximum number of widgets we need to divide the total electricity by the  minimum power of electricity used  :

max #widgets = 2*3450/150=46

prantorboni · Answer

A machine in a factory uses between 150 and 220 kilowatt-hours of electricity, inclusive, to produce two widgets. What is the maximum number of widgets the machine could produce using 3,450 kilowatt-hours of electricity?

Minimum requirement of kilowatt is 150. So, maximum numbers of units are, 3450/150= 23. Two wedges are produced using at least 150 kilowatt per unit.

Maximum number of widgets the machine could produce= 23x2=46.

Answer: A.

aphrodite2312 · Answer

The language of the question is counter-intuitive. If more electricity is used , shouldn't it create more widgets?
What am I missing?

Krunaal · Answer

"A machine in a factory uses between 150 and 220 kilowatt-hours of electricity, inclusive, to produce two widgets." => this means that whether the machine uses 150 KwH or 220 KwH it will create only 2 widgets. So it is incorrect to assume that more electricity = more widgets.

Now, since we are asked to find the maximum in 3450 KwH, we will assume the best case scenario where 2 widgets are created using 150 KwH and proceed to solve.

A machine in a factory uses between 150 and 220 kilowatt-hours of

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A machine in a factory uses between 150 and 220 kilowatt-hours of

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