In an effort to increase profits, the Mid$-$Central Electric Co$.$ is trying to decide whether to ask the Public Utilities Commission for permission to raise its rates. Some managers feel that a rate increase will not increase profits because higher rates will cause their customers to use less electricity, but other managers disagree.Finally, the numbers are in: The director of marketing has determined that the breakeven sales level for a rate increase of $5$ percent would be a unit sales loss of $8\mathrm{.}6$ percent. The market research department has determined that the price elasticity of Mid$-$Central's market is $1\mathrm{.}12.$Calculate the sales change indicated by a price elasticity of $1\mathrm{.}12$ and use these numbers to determine whether or not it would increase Mid$-$Centrals profits to raise rates by $5$ percent. Show your work.