# Finding the optimal price and output level

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The demand curve for tickets at an amusement park is:

Q = D(p) = 1400 - 46p, p > 0

The marginal cost of serving a customer is $11.

Using calculus and formulas (but no tables or spreadsheets) to find a solution, how many tickets will be sold at the profit-maximizing price?

Round the equilibrium quantity DOWN to its integer part and round the equilibrium price to the nearest cent.

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##### Solution Summary

Solution depicts the steps to find out the optimal price and output level in the given case.

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Q=1400-46p, p>0

On rearranging we get

46p=1400-Q

p=(1400/46)-(Q/46)

Total ...

###### Education

- BEng (Hons) , Birla Institute of Technology and Science, India
- MSc (Hons) , Birla Institute of Technology and Science, India

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