Question

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?

Answer 1

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.

Answer 2

so how much of each type should be made to maximize the profits? and what is the max profit?

Answer 3

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

Answer 4

THANK YOU!<3

Answer 5

thank youuuuuuu!