The number of seats sold cannot be negative, so you have
... x ≥ 0, y ≥ 0
The limits on numbers of seats must be observed, so you have
... y ≤ 2000
... x + y ≤ 3000
And the revenue constraint must be met:
... 35x + 50y ≥ 90,000
Together, these inequalties are ...
{x ≥ 0, y ≥ 0, y ≤ 2000, x + y ≤ 3000, 35x + 50y ≥ 90,000}
507 peaches in each box.
He gives away 5 peaches.
If he sells 7 boxes he has 1019 peaches left.
Hope this helps.
Answer is the picture below:
We have 5% and 6.5% acetic acid solutions and we need 200 ml of 6% acetic acid.
Set up two equations:
f means 5% and s means 6.5%
A) f + s = 200
B) .05f + .065s = (.06 * 200)
Multiplying equation A by -.05
A) -.05f -.05s = -10
B) .05f + .065s = 12 then adding both equations:
.015s = 2
<span>
<span>
<span>
we need 133.33</span> ml of 6.5% acetic acid and
66.67 ml of 5% acetic acid solution.
</span> </span>
Source:
http://www.1728.org/mixture.htm
Y4 - y3 + 2y2 + y - 1 over (y + 1) • (y2 - y + 1)
<span>
</span>
