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Q. Student Enterprises sells 2 sizes of wall posters, a large 3- by 4-foot poster and a smaller 2- by 3-foot poster. The profit earned from the sale of each large poster is $3; each smaller poster earns $2. The firm, although profitable, is not large; it consists of one art student, Jan Messing, at the University of Kentucky. Because of her classroom schedule, Jan has the following weekly constraints: (1) Up to 3 large posters can be sold, (2) Up to 5 smaller posters can be sold, (3) Up to 10 hours can be spent on posters during the week, with each large poster requiring 2 hours of work and each small one taking 1 hour. With the semester almost over, Jan plans on taking a 3-month summer vacation to England and doesn't want to leave any unfinished posters behind. Find the integer solution that will maximize her profit.
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