The revenue, in thousands of dollars, of a new flavor of liquor is given below as function of the number of gallons (in hundreds
), x, sold:

What is the maximum revenue? Use units
1 answer:
Answer:
$625,000
Step-by-step explanation:
The maximum revenue will be found where the derivative of the revenue function is zero.
r'(x) = 50 -2x = 0
50 = 2x
x = 25
When 2500 gallons are sold, the revenue is ...
r(25) = 50(25) -25(25) = (50 -25)(25) = 25(25) = 625 . . . thousands
The maximum revenue is $625,000.
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