Answer the following question$($s$)$ using the information below.

Sheltar's TV currently sells small televisions for $$180.$ It has costs of $$140.$ A competitor is bringing a new small television to market that will sell for $$160.$ Management believes it must lower the price to $$160$ to compete in the market for small televisions. Marketing believes that the new price will cause sales to increase by $10\%,$ even with a new competitor in the market. Sheltar's sales are currently $100,000$ televisions per year.

What is the target cost if the company wants to maintain its same income level, and marketing is correct $($rounded to the nearest cent$)?$

a$.$ $$135\mathrm{.}00$

b$.$ $$123\mathrm{.}34$

c$.$ $$140\mathrm{.}00$

d$.$ $$112\mathrm{.}50$

e$.$ $$113\mathrm{.}64$