# Linear programming word problems

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1. In a high school winter formal, male students are charged $20 per person and female students are charged$15 per person. The student association makes sure that the ratio between male and female is at least 1 to 3. Also, it is told by the school that the school hall can fit no more than 100 people. If the student association wants to maximize their profit, how many male and female students should there be in the winter formal?
If each doll sold results in a $2 loss whilst each robot sold generates a$4 profit, how many of each type should be produced daily in order to maximize profit?