Suppose a monopolist is characterized as follo

$\backslash$table$[[P=1200-6Q,$demand curve for the monopolist$],[C=8600+20Q+Q^2,$total cost function for the monopolist$],[MC=20+2Q,$marginal cost function for the monopolist$]]$

To maximize its profit, the monopolist should produce $$ units of output. $($Enter your response rounded to two decimal places.$)$

The company's profit$-$maximizing price is $ $($Enter your response rounded to two decimal places.$)$

The monopolist's profit is $ $($Enter your resporke rounded to two decimal places.$)$

Suppose the government imposes a specific tax of $$200$ per unit on the monopolist. To maximize profit, the monopolist should now produce $70$ units of output. $($Enter your response rounded to $t$ decimal places.$)$

When the tax is imposed, the monopolist's profit$-$maximizing price becomes $$780\mathrm{.}00.($Enter your response rounded to two decimal places.$)$

As a result of the tax, the monopolist raises its price by $$