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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