R$8\mathrm{.}6.$ Suppose the government wishes to support newsprint providers and discourage the purchase of the apps produced by the digital news provider in the previous example. It imposes a tax of $\pounds 60$ per app produced, so that the new total cost relationship is TC$=50$Q$+10,000+60$Q$=110$Q$+10,000.($a$)$ How does this affect profit$-$maximising output and price? $($b$)$ What is the new maximum profit? $($c$)$ What proportion of the tax is passed on to the consumer?