Q(p) = k/p^3 . . . . . . . . we want to find k
q(10) = k/10^3 = 64
k = 64,000
Revenue = q(p)*p = 64000/p^2
Cost = 150 +2q = 150 +2*64000/p^3
Profit = Revenue -Cost = 64000/p^2(1 -2/p) -150
Differentiating to find the maximum profit, we have
.. dProfit/dp = -2(64000/p^3) +6(64000/p^4) = 0
.. -1 +3/p = 0
.. p = 3
A price of $3 per unit will yield a maximum profit.
Answer:
The width of the store is 15 feet
Step-by-step explanation:
If the area (l×w) of the store is 325 square ft., then we just solve for width using the area and the length.

which would be

which equals 15
Hope this helps! If you could mark this answer as brainliest I would really appreciate it!
Just multiple the three numbers then divide it by 6.5
<span>The arc length by definition is given by:</span>
<span> S = R * theta</span>
<span> Where,</span>
<span> R: radio</span>
<span> Theta: central angle</span>
<span> Substituting values we have:</span>
<span> S = 10 * (3/2) pi</span>
<span> Rewriting we have:</span>
<span> S = 5 * (3) pi</span>
<span> S = 15pi</span>
<span> Answer:</span>
<span> The arc length is:</span>
<span> <span>S = 15pi</span></span>
This is very easy just alot of terrible numbers lol.
If she goes "down" for 90 SEC that means she is moving Negative.
So she moves for 90 seconds at a Rate of 3.5 Feet per second
Which means every second she goes down she will subtract 3.5 Ft
Since she is moving for 90 SEC then this will be the equation
Feet will be negative because she is going down.
-3.5 X 90=? You might need a calculator.
Now that she has gone down she decided to go up. For 30 seconds at a different rate. 2.2 Seconds. So now since she is going up it is Increasing.
Feet will be Positive because she is going up now.
This is the equation
2.2 X 30=?
First you want to add both the equations you solved so far.
Now she wants to go to Exactly 0 . So she decides to go up really fast!
So when you get the amount. She wants to Increase by 4.8 FT Per SEC
So you take the amount you added which should be negative
And put it into an equation.
4.8 Divided by ( the equation you added) = ? SEC
SEC= SECONDS FT= FEET