F ( x ) = - ( x -20 ) ( x - 100 ) =
= - ( x² - 100 x - 20 x + 2000 )=
- x² + 120 x - 2000
The greatest profit is when ; f´( x ) = 0
f ´ ( x ) = - 2 x + 120 = 0
2 x = 120, x = 60
60 purchase orders will generate the greatest profit.
Solving the rational equation
the value of x is 7
Step-by-step explanation:
We need to solve rational equation:
and find value of x.
Solving:

Cross multiplying:

So, value of x = 7.
Solving the rational equation
the value of x is 7
Keywords: Solving the rational equation
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See attached picture for answre
Find thy radius.
Thy radius is 7.25 (D / 2 = R)
Thy formula for area is A = (pi)r^2
Substitute and Solve
A = (pi)r^2
= (pi)(7.25)^2
= (pi)(52.5625)
= 165.04625
Therefore, the area is about 165.