We are given
Firstly, we can find gradient
so, we will find partial derivatives
now, we can plug point (-5,5,2)
so, gradient will be
now, we are given that
it is in direction of v=⟨−3,2,−4⟩
so, we will find it's unit vector
now, we can find unit vector
now, we can find dot product to find direction of the vector
now, we can plug values
.............Answer
The profit for 25 products sold and 150 products sold are 3159 and 19190.25 respectively.
<u><em>Explanation</em></u>
The profit of a company receives is given by the expression:
Simplifying this expression using distributive property, we will get .....
So, the simplified expression for profit will be:
As represents the number of products sold, so for finding the profit for 25 products sold and 150 products sold, <u>we need plug
and
separately into the above expression</u>.
For , Profit
For , Profit
