/11079/assignments/105151 pm (Spring 2018)> Assignments> Section 2.7 Implicit di
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/11079/assignments/105151 pm (Spring 2018)> Assignments> Section 2.7 Implicit differentiation & related rates 7 Implicit differentiation & related rates n 2.7 Implicit differentiation & related rates Due in 2 hours, 41 minutes. Due Wed 04/11/2018 11:59 pm A company selling widgets has found that the number of items sold, x depends upon the price, p at which they're sold, according the equation z Due to inflation and increasing health benefit costs, the company has been increasing the price by $5 per month. Find the rate at which revenue is changing when the company is selling widgets at $240 each. Preview dollars per month Get help: Video 10) Points This is attempt 1 of 5 SubmitExplanation / Answer
Find revenue as
R=x*p
=90000/sqrt(4p+1) *p
=90000p/sqrt(4p+1)
Find derivative with respect to time as
dR/dt =(90000 (2 p + 1))/(4 p + 1)^(3/2) *dp/dt
Substitute p =240 and dp/dt =5
dR/dt =43290000/29791 *5
=216450000/29791
= 7265.617 dollars per month { rounded to three decimals}
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