2 uncluttered question, included microeconomics tag

How do I find the optimal price for a monopolist when given demand function andthe monopolist's cost function and market demand?

$$max_{profit}=p*y+C(y)$$

p I have $$Profit(y) = p*y + C(y)$$ where $$p$$ is price. y, $$y$$ is output. C(y), and $$C(y)$$ is thetotal cost function.

ThereafterThen I takeset the derivative of $$max_{profit}$$ with$$Profit$$ (with respect to y. Make that) equal to 0 and then isolate p, which should be the optimal pricesolve for $$p$$. Is that correct?

How do I find the optimal price for a monopolist when given demand function and cost function?

$$max_{profit}=p*y+C(y)$$

p is price. y is output. C(y) is the cost function

Thereafter I take the derivative of $$max_{profit}$$ with respect to y. Make that equal 0 and then isolate p, which should be the optimal price. Is that correct?

How do I find the optimal price for a monopolist given the monopolist's cost function and market demand?

I have $$Profit(y) = p*y + C(y)$$ where $$p$$ is price, $$y$$ is output, and $$C(y)$$ is total cost.

Then I set the derivative of $$Profit$$ (with respect to y) equal to 0 and solve for $$p$$. Is that correct?

1

How do I find optimal price or maximise profit in a monopolistic market?

How do I find the optimal price for a monopolist when given demand function and cost function?

$$max_{profit}=p*y+C(y)$$

p is price. y is output. C(y) is the cost function

Thereafter I take the derivative of $$max_{profit}$$ with respect to y. Make that equal 0 and then isolate p, which should be the optimal price. Is that correct?