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

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alanforde800Maximus: Master | Next Rank: 500 Posts; Posts: 187; Joined: Tue Sep 13, 2016 12:46 am

by alanforde800Maximus » Sun Oct 16, 2016 10:02 am

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

Please assist with above problem.

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Source: Beat The GMAT — Problem Solving | Sun Oct 16, 2016 10:02 am

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by [email protected] » Sun Oct 16, 2016 10:14 am

Hi alanforde800Maximus,

We're given a 'range' of electricity that is needed to produce 2 widgets. To MAXIMIZE the number of widgets that could be produced using a fixed amount of electricity, we would need to consider the smallest amount of electricity from that range.

If we could produce 2 widgets with just 150 kw-hrs of electricity... then with 3450 kw-hours, we could produce...

3450/150 =
345/15 =
69/3 =
23 pairs of widgets = (23)(2) = 46 widgets

Final Answer: A

GMAT assassins aren't born, they're made,
Rich

Last edited by [email protected] on Mon Oct 17, 2016 10:21 am, edited 1 time in total.

Contact Rich at [email protected]

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Mo2men: Legendary Member; Posts: 712; Joined: Fri Sep 25, 2015 4:39 amFollowed by: 5 members; Thanked: 14 times

by Mo2men » Mon Oct 17, 2016 7:25 am

[email protected] wrote:Hi alanforde800Maximus,

We're given a 'range' of electricity that is needed to produce 2 widgets. To MAXIMIZE the number of widgets that could be produced using a fixed amount of electricity, we would need to consider the smallest amount of electricity from that range.

If we could produce 2 widgets with just 150 kw-hrs of electricity... then with 3450 kw-hours, we could produce...

3450/150 =
345/15 =
69/3 =
23 widgets

Final Answer: C

GMAT assassins aren't born, they're made,
Rich

Hi Rich,
If we use 150 per 2 widgets it means that we consume 75 per widget.

So final answer should be 46.

Or we can say that there is 23 clusters of 150HP in 3450. Each cluster produces 2 widgets. it means 46 total widgets.

Do I miss anything?

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GMAT/MBA Expert

[email protected]: Elite Legendary Member; Posts: 10392; Joined: Sun Jun 23, 2013 6:38 pmFollowed by: 511 members; Location: Palo Alto, CA; Thanked: 2867 times; GMAT Score:800

by [email protected] » Mon Oct 17, 2016 10:21 am

Hi Mo2men,

Good catch! I've edited my post accordingly.

GMAT assassins aren't born, they're made,
Rich

Contact Rich at [email protected]

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