anonymous
  • anonymous
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?
Mathematics
  • Stacey Warren - Expert brainly.com
Hey! We 've verified this expert answer for you, click below to unlock the details :)
SOLVED
At vero eos et accusamus et iusto odio dignissimos ducimus qui blanditiis praesentium voluptatum deleniti atque corrupti quos dolores et quas molestias excepturi sint occaecati cupiditate non provident, similique sunt in culpa qui officia deserunt mollitia animi, id est laborum et dolorum fuga. Et harum quidem rerum facilis est et expedita distinctio. Nam libero tempore, cum soluta nobis est eligendi optio cumque nihil impedit quo minus id quod maxime placeat facere possimus, omnis voluptas assumenda est, omnis dolor repellendus. Itaque earum rerum hic tenetur a sapiente delectus, ut aut reiciendis voluptatibus maiores alias consequatur aut perferendis doloribus asperiores repellat.
katieb
  • katieb
I got my questions answered at brainly.com in under 10 minutes. Go to brainly.com now for free help!
anonymous
  • anonymous
lbspeanuts=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
  • anonymous
so how much of each type should be made to maximize the profits? and what is the max profit?
anonymous
  • anonymous
Look 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

Looking for something else?

Not the answer you are looking for? Search for more explanations.

More answers

anonymous
  • anonymous
THANK YOU!<3
anonymous
  • anonymous
thank youuuuuuu!

Looking for something else?

Not the answer you are looking for? Search for more explanations.