Given the cost function:
Cost equals 0.2 q cubed minus 6 q squared plus 80 q plus Upper
F
,
and marginal cost:
0.6q2
minus
12q + 80
where q = output, and F = fixed costs = $100
.
The demand equation is:
p = 100
minus
2
q.
Determine the profit-maximizing price and output for a
monopolist.
The profit-maximizing output level occurs at nothing
units of output (round
your answer to the nearest tenth).
The profit-maximizing price occurs at $nothing
(round
your answer to the nearest penny).
Solution
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