ANSWER
4 roots.
EXPLANATION
The given polynomial function is
This is a fourth degree polynomial.
According to the Fundamental Theorem of Algebra, an nth degree polynomial has n roots.
This roots include both real and complex roots.
Also repeated roots or roots with multiplicity greater than one are counted as distinct.
Since the given polynomial function is a fourth degree polynomial, the Fundamental Theorem of Algebra, says that this polynomial has 4 roots.
The maximum units is 200 and , Total revenue is $8,000
<u>Step-by-step explanation:</u>
Here we have , A manufacturer finds that the revenue generated by selling of cortan commodity is given by function R(x)=80x-0.2x^ 2 , where he maximum reveremany should be manufactured to obtain this maximum units .Let's find out:
We have following function as . Let's differentiate this and equate it to zero to find value of x for which the function is maximum!
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Now , Value of function at x=200 is :
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Therefore , The maximum units is 200 and , Total revenue is $8,000
We need to find thr rate of change (slope) of the line joining these two points ~
Slope of the line (m) joining the two points is 2 ~