"Shirts Happen": An application in resource allocation and linear programming The Shirts Happen Clothing Company manufactures men's shirts and women's blouses. The production process includes cutting, sewing, and packaging. The table below gives the labor requirements (in minutes) for each type of garment: The maximum number of labor hours available per day at Shirts Happen are 25 hours for cutting, 35 hours for sewing, and 5 hours for packaging. 4. Suppose that each men's shirt produced and sold yields a $25 profit and each women's blouse produced and sold yields a $50 profit. (a). An isoprofit line is a line of solution points (x,y) within the feasible region that each yield the same profit. Find two feasible solutions to the Shirts Happen Clothing Company problem that produce a total profit of $200, and then find two feasible solutions that produce a total profit of $500. Explain your answers, and then draw these two isoprofit lines on your graph - one for a total profit of $200, and the other for a total profit of $500. (b). Finding optimal solution(s): How many men's shirts and women's blouses should the Shirts Happen Clothing Company produce each day so as to maximize its daily profit? What is the company's maximum daily profit as a result? Hint: There are actually multiple optimal solutions. List and explain two of them. Would there be a reason for the Shirts Happen Clothing Company to favor one optimal solution over another? Clearly explain your reasoning along with any additional assumptions that need to be made in determining an optimal solution to this