Problem $08-09($algo$)$

$10$

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A monopolist's inverse demand function is estimated as P$=250-2$Q$.$ The company produces output at two facilities; the marginal

cost of producing at facility $1$ ls MC$($Q$)=2$Q$,$ and the marginal cost of producing at facility $2$ is MC$2($Q$2)=7$Q$2-$

a$.$ Provide the equation for the monopolist's marginal revenue function. $($Hint: Recall that Q$1+$ Q$2=$ Q$.)$

MRIQ$)=$

$4$ Q$2$

b$.$ Determine the profit$-$maximizing level of output for each facility.

Instructions: Round your response to two decimal places.

Output for facility $1$:

Output for facility $2$:

c$.$ Determine the profit$-$maximizing price.

Instructions: Round your response to the nearest penny $($two decimal places$).$

$

$$

Prey

$5$ of $10$