Set up a linear program to solve the following problem. Be sure to identify the variables, all the constraints, and the objective function. DO NOT SOLVE. A Costume Shop makes two different types of masks: the scream mask and the clown mask. Each scream mask requires $9$ ounces of rubber, $5$ ounces of dye, and sells for $$13\mathrm{.}50.$ Each clown mask requires $12$ ounces of rubber, $4$ ounces of dye, and sells for $$15\mathrm{.}75.$ On the Wednesday before Halloween, the Costume Shop would like to make at least $80$ mask QO$04$ s$.$ However, they would like to make no more than $50$ scream masks, due to limited demand for that type of mask. Furthermore, they would like to make at least as many clown masks as scream masks. The Costume Shop has $600$ ounces of rubber and $160$ ounces of dye available. How many of each type of mask should they make in order to maximize sales?