The function $f(x)=2x^3-30x^{2}54x5$ has one local minimum and one local maximum.

This function has a local minimum at $x=$

with function value $$

and a local maximum at $x=$

with function value $$

Given the given cost function $C(x)=3450130x0\mathrm{.}8x^2$ and the demand function $p(x)=390.$

Find the production level that will maximize profit.

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A baseball team plays in a stadium that holds $54000$ spectators. With the ticket price at $$9$ the average attendance has been $20000.$ When the price dropped to $$6,$ the average attendance rose to $27000.$ Assume that attendance is linearly related to ticket price.

What ticket price would maximize revenue? $$

A baseball team plays in a stadium that holds $54000$ spectators. With the ticket price at $$9$ the average attendance has been $20000.$ When the price dropped to $$6,$ the average attendance rose to $27000.$ Assume that attendance is linearly related to ticket price.

What ticket price would maximize revenue? $$