The projected sales volume of a video game cartridge is given by the function s(p) = 3000 / (2p + a), where s is the number of cartridges sold, in thousands; p is the price per cartridge, in dollars; and a is a constant. If according to the projections, 100000 cartridges are sold at 10 dollars per cartridge, how many cartridges will be sold at 20 dollars per cartridge?

149 cartridges will be sold at 20 dollars per cartridge.

Step-by-step explanation:

Given: The projected sales volume of a video game cartridge is given by the function , where s is the number of cartridges sold, in thousands; p is the price per cartridge, in dollars; and a is a constant.

Put s(p)=100000, p= 10, we get

i.e.

Put p=20, we get

Hence, 149 cartridges will be sold at 20 dollars per cartridge.

practice. practice. practice.