A graphic designer can design a magazine cover or a logo. Her company makes a profit of $1000 for each magazine cover and $800 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 to at most 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 at least 1 magazine cover per week to keep up with demand.
How many of each should she design in order to maximize the company's profits?
How many magazine covers should she design?
How many logos?
What is the maximum profit?