Solve plz with work

5. (14 points) Ultratrek is a company that produces hiking gear. They sell two models of backpacks, the premium packs and the regular packs. The demands for premium and regular, as a function of the price :1: (in $) of premium and the price y (in $) of regular are given by 5:: Demand of premium = 1800 3 3y Demand of regular = 1500 :c 2y. At what prices should the company set their premium and regular backpacks in order to maximize their revenue? Verify that the revenue is locally maximized at the point you nd. Showr all of your work below