Your Student Government Association decided to do a fundraiser to raisemoney for a field trip. They decide to sell t-shirts and sweatshirts. Theprofit for each t-shirt is $10 and the profit for each sweatshirt is $15.They want to sell 50 items at most. Compared to t-shirts, they want to sellat least half as many sweatshirts, with a profit of at least $500.after graphing What are the boundaries of the feasible region (i.e. the points that definethe region of solutions)? (Hint: There should be four points)Are there any non-viable solutions within the feasible regionHow many t-shirts and sweatshirts should they sell to maximize their profitWhat is the maximum profit they can make?

Step-by-step explanation:If x is the number of t-shirts, and y is the number of sweatshirts:10x + 15y ≥ 500x + y ≤ 50y ≥ x/2And since x and y can't be negative:x ≥ 0y ≥ 0Graph:desmos.com/calculator/mw6dsei6jmThe boundaries of the feasible region are:(0, 50), (0, 33.3), (28.6, 14.3), and (33.3, 16.7)Since x and y must be integers, any non-integer solutions are not viable.The maximum profit will be when the most product is sold.  Since sweatshirts are more profitable, we want to sell as much of that as we can.  So they should sell 0 t-shirts and 50 sweatshirts for a maximum profit of $750.