Hello, Please help me find the correct answer for this question, all the answers

Question

Hello,

Please help me find the correct answer for this question, all the answers I get are incorrect.

THE ANSWER SHOULD NOT BE ( -2455 or 149 ) FOR X AND NOT ( 111 OR -2672) FOR Y ..

Q1 ) The telephone company is planning to introduce two new types of executive communications systems that it hopes to sell to its largest commercial customers. It is estimated that if the first type of system is priced at

x hundred dollars per system and the second type at y hundred dollars per system, approximately

(40-8x+5y) consumers will buy the first type and (50+9x-7y) will buy the second type. If the cost of manufacturing the first type is $1900 per system and the cost of manufacturing the second type is $3100 per system, what prices x and y will maximize the telephone company's profit?

First type x = -2455 WRONG hundred $ per system

Second type y= -4910 WRONG hundered $ per system

Show steps please,

Thanks

Explanation / Answer

similar example

http://answers.yahoo.com/question/index?qid=20140308121634AAGpQVN

Income from 1st system = 100x (40?8x+5y)
Income from 2nd system = 100y (50+9x?7y)
Cost for 1st system = 600 (40?8x+5y)
Cost for 2nd system = 2700 (50+9x?7y)

Profit from 1st system = (100x?600) (40?8x+5y)
Profit from 2nd system = (100y?2700) (50+9x?7y)

Profit =
F(x,y) = (100x?600) (40?8x+5y) + (100y?2700) (50+9x?7y)
........ = ?800x

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