Angela is in charge of purchasing supplies for a large hotel. Angela must purchase at least 750 soaps and at least 490 shampoos at the lowest possible cost. There are two different suppliers of hotel soaps and shampoos. Supplier A sells supply packages that contain 50 soaps and 20 shampoos, and that cost $18 each. Supplier B sells supply packages that contain 30 soaps and 50 shampoos, and that cost $22 each. Due to limited storage space at her hotel, Angela cannot order more than 20 total packages. Let x be the number of supply packages she orders from supplier A, and let y be the number of supply packages she orders from supplier B. Give a system of inequalities that summarizes the constraints on Angela's purchase of supply packages from suppliers A and B, and give the objective function that she is trying to maximize/minimize (which one?). Do not draw any graphs or solve any equations.