Question

At a product's lowest price, you would expect people to demand the of that product.

Answer 1

At a products lowest price, you would expect people to demand more or the product,

Answer 2

There will be an increased demand. This happens when the price is lower, people have a higher purchasing power, meaning they can buy the product because it is within in their limit. 
Aside from that, demand and supply should be indirectly proportional. In that way, companies will avoid market surplus and market shortage.