A cocktail nut mix should contain the following percentage requirement for a one-pound can. At least 10% almonds. Almonds cost $2.50 per pound. A maximum of 50% peanuts at $1.40 per pound At least 20% walnuts at $2.25 per pound. A maximum of 40% of cashew nuts at $2.00 per pound. The can costs $0.10. Calculate the proportion of these nuts by weight to maximize the profit per can. What is the profit per can if each can is sold for $3.00 a can

$1.10

Step-by-step explanation:

Below are analysis of each cost required to be calculated

Almonds:

Minimum 10% almonds of $2.50 per pound

10% of $2.50 = $0.25

Peanuts:

Maximum 50% peanuts at $1.40 per pound

50% of $1.40 = $0.70

Walnuts:

Minimum 20% at 2.25 per pound

20% of $2.25 = $0.45

Cashew:

Maximum of 40% of cashew of $2 per pound

40% of $2 = $0.80

The cost of this can is $0.10

For the cocktail , we need the minimum quantities of each nuts + the cost of can

The selling price is $3.

The profit will be Selling price - Cost. Therefore the profit per can will be:

Profit = $3- (0.25-0.45+0.70+0.40+0.10)

=$1.10

area of part 1:

a1=base*height/2=(8+2)*(8-2-2-1)/2=10*3/2=15 ft^2

area of part 2:

a2=length*width=(8+2)*1=10 ft2

area of part 3:

a3=length*width=8*2=16 ft2

total shaded area : a1+a2+a3=41 ft2

total area of the reactangle : a=16*8=128 ft2

total area of the nonshaded region : 128-41=87 ft2