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? $

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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? $
Transcribed Image Text: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? $
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