We are told that the demand equation for the keyboard is
[tex]p=-0.02x+60[/tex]where x is the quantity demanded per month and p is the unit price in dollars.
This means that the when the quantity demanded rises, the unit price drops.
From the equation we can see that since this is a negative slope graph,
When x=0, p = $60 and the price drops as demand increases.
Thus, the highest price (theoretically) anyone would pay for a washable keyboard is $60, however we are told that there is no demand at this price.
b. When the unit price is $20;
inserting p = 20. we find the quantity demanded x to be;
[tex]\begin{gathered} 20=-0.02x+60 \\ -40=-0.02x \\ x=2000 \end{gathered}[/tex]Therefore, the quantity demanded is 2000.
c.
