A company has found that the number of items sold, x, depends upon the price, p at which they're sold, according.?
2016-05-20 7:02 am
A company has found that the number of items sold, x, depends upon the price, p at which they're sold, according the equation x = 20000 − 4p^2. The price has been increasing by $7 per month. Find the rate at which revenue is changing when the price is $40.
回答 (1)
2016-05-20 11:26 am
✔ 最佳答案
revenue = r
= px
= p( 20000 - 4p^2 )
= 20000p - 4p^3
dr
= 20000*dp - 12p^2*dp
= ( 20000 - 12p^2 ) * dp
When dp = 7 and p = 40 ,
dr = ( 20000 - 12*40^2 ) * 7 = 5600
Ans: increasing by $5600 per month
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