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?

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.

... many units of each product should be manufactured to maximize profits? ... of X and Y so as to maximize the profit. ... Hence, the profit function to be maximized is Z ...

Linear Programming : Maximizing Profit; Interest and Principle Problem. ... the firm is to maximize profits, so the ... that profits (the above equation) is maximized. ...

... but it's not clear if either will maximize profits. ... so we may need to select different profit-maximizing prices ... of view, the firm's profit is maximized when the ...

... A. Calculate the profit-maximizing price/output combination and economic profits if ... more output than the theoretical model to maximize profits would suggest. ...

... The profit maximizing quantity is given at MR = MC, but ... Solution: Since the profit is maximized when each customer ... fixed price of $3.70 to maximize the overall ...

... following items are shown 1. Profit maximizing condition 2 ... Monopolist's profit area is maximized where first ... Total profits -22000 3000 -20400.3 -18802.7 -17209 ...

... a.Determine the profit maximizing output and price. ... a.Determine the profit maximizing output and price. A monopolist sets its output level such that MR=MC. ...

... that linear functions are always maximized (or minimized ... variable to be chosen to maximize profits: Since the ... wants to the find the profit maximizing unit sales ...

... explanation of how businesses may maximize profits within each ... when MC=MR the monopolistic firm maximizes profit. ... firm under oligopoly can maximize its profit...

... C. Calculate the profit-maximizing level of output if prices are stable in the ... d. maximize profits. 5. Total revenue is maximized at the point where marginal: a ...