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anonymous
 5 years ago
a trail mix company has 200 lb of peanuts and 160 lb of raisins. a batch oh house mix takes 20 lb of peanuts and 10 lb of raisins. a batch of fancy mix takes 10 lb of peanuts and 20 lb of raisins. profit from a batch of house mix is $50 and from a batch of fancy mix is $60. how much of each type should be made to maximize profits? what is the maximum profit?
anonymous
 5 years ago
a trail mix company has 200 lb of peanuts and 160 lb of raisins. a batch oh house mix takes 20 lb of peanuts and 10 lb of raisins. a batch of fancy mix takes 10 lb of peanuts and 20 lb of raisins. profit from a batch of house mix is $50 and from a batch of fancy mix is $60. how much of each type should be made to maximize profits? what is the maximum profit?

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anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0lbspeanuts=20h+10f lbsraisins=10h+20f h=batches of house, f=batches of fancy so we have the inequalities 20h+10f <=200 10h+20f<=160 the profit (p): p=50h+60f so we graph the two inequalities, and find where the profit is maximized.

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0so how much of each type should be made to maximize the profits? and what is the max profit?

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0Look at the boundary, and specifically the endpoints in this case, and I think the maximum is where the boundary lines intersect at h=8, f=4 which gives a profit of: 50*8+60*4=400+240=$640
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