maybeam wrote:

Which of Company X and Company Y earned the greater gross profit last year?

(1) Last year the expenses of Company X were 5/6 of the expenses of Company Y.

(2) Last year the revenues of Company X were $6 million less than the revenues of Company Y.

\(?\,\,\,:\,\,\,X\,\,{\rm{or}}\,\,Y\,\,\,\,\,\,\left[ {{\rm{max}}\,\left( {{\rm{rev}} - {\rm{exp}}} \right)} \right]\)

The monetary unit will be

millions of dollars.

\(\left( {1 + 2} \right)\,\,\left\{ \matrix{

\,\,{{{{\exp }_X}} \over {{{\exp }_Y}}} = {5 \over 6} \hfill \cr

\,\,{\rm{re}}{{\rm{v}}_Y}\,\, = \,\,{\rm{re}}{{\rm{v}}_X} + 6 \hfill \cr} \right.\)

\(\left\{ \matrix{

\,{\rm{Take}}\,\,\left( {{\rm{re}}{{\rm{v}}_X}\,\,;\,\,{{\exp }_X}\,\,;\,\,{\rm{re}}{{\rm{v}}_Y}\,\,;\,\,{{\exp }_Y}} \right) = \left( {6\,;\,5\,;\,12\,;\,6} \right)\,\,\,\, \Rightarrow \,\,\,{\rm{?}}\,\,{\rm{ = }}\,\,{\rm{Y}} \hfill \cr

\,{\rm{Take}}\,\,\left( {{\rm{re}}{{\rm{v}}_X}\,\,;\,\,{{\exp }_X}\,\,;\,\,{\rm{re}}{{\rm{v}}_Y}\,\,;\,\,{{\exp }_Y}} \right) = \left( {55\,;\,50\,;\,61\,;\,60} \right)\,\,\,\, \Rightarrow \,\,\,{\rm{?}}\,\,{\rm{ = }}\,\,X \hfill \cr} \right.\)

We follow the notations and rationale taught in the

GMATH method.

Regards,

Fabio.

_________________

Fabio Skilnik :: GMATH method creator (Math for the GMAT)

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