Answer:
83.045( decreasing demand per unit time)
Step-by-step explanation:
let p be the price per product and q the number of units sold.
Given that p=$3.40 and q rate is 12%
-We are given that:
[tex]pq=8000\\\\p=3.4\\\\\frac{dp}{dt}=0.12[/tex]
#We differentiate using product rule to get the rate at which demand changes over time:
[tex]p\frac{dq}{dt}+q\frac{dp}{dt}=0\\\\\frac{dq}{dt}=\frac{-q\frac{dp}{dt}}{p}\\\\=-\frac{(8000/3.4)(0.12)}{3.5}\\\\=-83.045[/tex]
Hence, demand is decreasing at a rate of 83.045 units per unit time.
