the human heart pumps 750 gallons of blood in 9 hours. A human kidney filters 100 gallons of blood in 6 hours. How many more gal
2 answers:
Answer:
Human heart pump 1600 gallons more blood than kidney.
Step-by-step explanation:
Consider the provided information.
The human heart pumps 750 gallons of blood in 9 hours.
This can be written as:
750 gallons = 9 hours
Divide both the sides by 9.
750/9 gallons = 1 hours
Now calculate the gallons of blood human heart pump in 24 hour.
Multiply both sides by 24.
Thus, human heart pump 2000 gallons of blood in 24 hours.
A human kidney filters 100 gallons of blood in 6 hours.
This can be written as:
100 gallons = 6 hours
Divide both the sides by 6.
100/6 gallons = 1 hours
Now calculate the gallons of blood human kidney filters in 24 hour.
Multiply both sides by 24.
Thus, human kidney filters 400 gallons of blood in 24 hours.
We need to find how many more gallons of blood does the human heart pump than a human kidney filters during a 24 hour period.
2000 gallons - 400 gallons = 1600 gallons
Hence, human heart pump 1600 gallons more blood than kidney.
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so.. now we know y(x) = -30x+7400
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well
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so, they chartered the plane for 150 folks with a fixed cost of 250,000
now, incidental fees are 300 per person, if we use the quantity "x", for how many folks, then if "x" persons are booked, then incidental fees are 300x
so, more than likely an insurance agency is charging them 300x for coverage
anyway, thus the cost C(x) = 250,000 + 300x
now, the Revenue R(x), is simple is jut price * quantity
well, the price, thus far we know is 5000 for 80 folks, but it can be lowered by 30 to get one more person, thus increasing profits
so... let's see what the price say y(x) is
so.. now we know y(x) = -30x+7400
now, Revenue is just price * quantity
the price y(x) is -30x+7400, the quantity is "x"
that simply means R(x) = -30x²+7400x
now, for the profit P(x)
the profit is simple, that is just incoming revenue minus costs, whatever is left, is profit
so P(x) = R(x) - C(x)
P(x) = (7400x - 30x²) - (250,000+300x)
P(x) = -30x² + 7100x - 250,000
now, where does it get maximized? namely, where's the maximum for P(x)?
well
and as you can see, if you zero out the derivative, there's only 1 critical point, run a first-derivative test on it, to see if its a maximum