SOLUTION: Describe at least two real-life examples where inequalities are used either at home or on the job. Try looking in the textbook or online to see what ideas you get. Then look aroun

Algebra ->  Inequalities -> SOLUTION: Describe at least two real-life examples where inequalities are used either at home or on the job. Try looking in the textbook or online to see what ideas you get. Then look aroun      Log On


   

Question 101206: Describe at least two real-life examples where inequalities are used either at home or on the job. Try looking in the textbook or online to see what ideas you get. Then look around you at home and at work and see what strikes you as being similar in your own life. What examples do you see? Describe at least two of them in detail.
Answer by Nate(3500) About Me  (Show Source):
You can put this solution on YOUR website!
I will give one example:
You need atleast 140 mg of vitamin A and atleast 145 mg of vitamin B. A scoop of X food gives you 35mg of vit A and 30mg of vit B. A scoop of Y food gives you 30mg of vit A and 40mg of vit B. X food costs 8 dollars, but Y food costs 10 dollars. What is the minimum cost in order to attain all the essential vitamins.
a >= 140
a = 35x + 30y
35x + 30y >= 140
and
b >= 145
b = 30x + 40y
30x + 40y >= 145
and
x >= 0
and
y >= 0
graph%28400%2C400%2C-1%2C6%2C-1%2C6%2C%28145+-+30x%29%2F40%2C%28140+-+35x%29%2F30%29
Profit Equation: P(x,y) = 8x + 10y
P(0,14/3) = 0 + 10(14/3) = 140/3 = $46.67
P(29/6,0) = 8(29/6) + 0 = $38.67
P(2.5,1.75) = 8(2.5) + 10(1.75) = 20 + 17.5 = $37.5 .... Cheapest
2.5 scoops of x and 1.75 scoops of y