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.

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... does not have any effect on profit-maximizing quantity in ... diagram and determine which quantity maximizes De Beers's ... will produce 2 units to maximize its profits...

... Find the profit-maximizing price and quantity. ... and the court fee, if the club wishes to maximize profits? ... MR = dTR/dQ = 24 4Q Profit is maximized where MR ...