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

so firstly, we need to isolate the y variables to be able to solve these inequalities. firstly, add 0.5x on both sides of the first inequality and subtract 1.5x on both sides of the second inequality:

now since the slope is positive for the first inequality, this means that the line going upwards belongs to the first inequality, and the line going downwards belongs to the second inequality.

next, since y ≥ in the first inequality, this means that the shaded region will be above the first inequality's line, thus shading regions a and b.

next, since y ≤ in the second inequality, this means that the shaded region is going to be below this line, thus shading regions a and c.

since both lines shade region a, this means that region a is the solution.

step-by-step explanation:

mark brainliest!