A company produces two types of the jackets; windbreakers and rainbreakers. The company has at most 71 hours of finishing time p
er week and 67 hours of packaging time per week. Each windbreaker jacket takes 51 minutes of finishing time and 23 minutes of packaging time per week, whereas each rainbreaker jacket takes 68 minutes of finshing time and 38 minutes of packaging time per week. The company's profit for each windbreaker and rainbreaker jacket is 23 and 43, respectively. Let x denote the number of windbeaker jackets they should produce and y denote the number of rainbreaker jackets they should produce. The company wants to maximize profit. Set up the Linear Programming Problem for this situation.