What is 469.82 plus 8.5 sales tax
1 answer:
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The answer is -485.
To find this we first need to get rid of the 5 in the denominator.
100 =
So we multiply each side by 5.
500 = 15 - x
Now we need to get rid of the 15. So we subtract 15 from both sides.
485 = -x
Then since our x is negative, we need to divide by -1.
-485 = x
To find this we first need to get rid of the 5 in the denominator.
100 =
So we multiply each side by 5.
500 = 15 - x
Now we need to get rid of the 15. So we subtract 15 from both sides.
485 = -x
Then since our x is negative, we need to divide by -1.
-485 = x
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.
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.