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Maximizing your profits

Please help with the following problems. Provide step by step calculations for each.

The yearly cost of producing computers is: C(Q) = 20,000 + 2Q2 , where 'Q' represents the number of computer systems produced.
Marginal Cost (MC) = 4Q
Yearly demand for computers is: Q = 1,000 - P, where 'P' represents the selling price of a computer system.
Marginal Revenue (MR) = 1000 - 2Q

1) How many PC's should you produce to maximize profits? Show your work
2) If you change the profit maximizing price, what is the profit / loss?
3) How much does the last unit you produce cost you to make?

Solution Preview

Maximize profits
The yearly cost of producing computers is: C(Q) = 20,000 + 2Q2 , where 'Q' represents the number of computer systems produced.
Marginal Cost (MC) = 4Q
Yearly demand for computers is: Q = 1,000 - P, where ...

Solution Summary

The following posting helps with economics problems. These include questions about maximizing profits and calculating units to produce costs. Step by step calculations are given for each problem.

$2.19