Question 1183538
.
A company that manufactures flash drives knows that the number of drives x
it can sell each week is related to the price p, in dollars, of each drive by the equation 
x=1200-100p
Find the price p that will bring in the maximum revenue. 
Remember, revenue (R) is the product of price (p) and items sold (x), in other words, R=xp
~~~~~~~~~~~~~~~


<pre>
The revenue is this function of p (of the price)

    R(p) = p*x = p*(1200-100p)


It is a quadratic function of p with the zeroes  p = 0  and  p = 1200/100 = 12.


The maximum of this quadratic function (its vertex) is halfway between the roots at x= 6.


So, the optimal price is p= 6.   


The problem is just solved.
</pre>

----------------


My common sense tells me that the problem's description is &nbsp;DEFECTIVE &nbsp;and must be corrected.


I leave making this correction in your care.