A graphic designer can design a magazine cover or a logo. Her company makes a profit of $800 for each magazine cover and $500 for each logo. She estimates that it takes her 4 hours of brainstorming for a magazine cover and 2 hours of brainstorming for a logo. She'd like to keep the total brainstorming time under 24 hours a week. Further , she estimates that it takes her 2 hours to lay out a magazine cover and 0.5 hours to sketch up a logo , and she must fit this into 10 hours a week. Her boss requires her to design no more than 4 logos for each magazine cover she designs How many of each should she design in order to maximize the company's profits ? magazine covers logos What is the maximum profit ?