You are a division manager for Wayne Biotech, and are tasked with deciding on the capacity of your new factory for a new ecologically friendly weed killer. A similar new product has been developed by Isley Industries. The demand for the new weed killer is given Q $=482$p$,$ where p is the price, Q $=$ qw $+$ qi$,$ and qw and qi are the quantity produced by Wayne and Isley, respectively.