Answer:
19 dollars
Step-by-step explanation:
<h2>Buckle up! This is a good one!</h2>
First we have to find the line that goes trough the two points. And it has the form :
<em>m is often called the slope.</em>
Given the two points (66000, 16) and (51000, 21) we find m with this formula:
We pick the point (51000,21) and plug it into the equation of the line and we find b:
<h3>And we have got our line equation</h3>
<u>Where x represents the quantity and y represents the price.</u>
<u />
<h2>The revenue</h2>
The revenue is price times quantity, since price is y and quantity is x, we get
<h3>to maximize the revenue, we get the first derivative:</h3>
<h3>and we make R'(x)=0:</h3>
So the quantity that maximizes revenue is 57000,
<h3>let's find out the price by plugging it into the equation:</h3>
<h2>And there you go! 19 dollars is the price the carpentry shop should charge per decoy duck.</h2>