The price of a carton of eggs at Supermarket $A$ is $\$2.10$ . The price of a carton of eggs at Supermarket $B$ is $40\%$ less than the price at Supermarket $A$ . What is the price of a carton of eggs at Supermarket $B$ ?

Marquise has 200 meters of fencing to build a rectangular garden. the garden's area (in square meters) as a function of the garden's width w w (in meters) is modeled by: a ( w ) = − w 2 + 1 0 0 w a(w)=−w 2 +100w what side width will produce the maximum garden area? meters