Here you go this is all you are doing
Answer: y = 0.03x + 94
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Explanation:
Lets define A(x) to be the average cost function where
A(x) = C(x)/x
basically you divide the given cost function C(x) by the number of units produced (x)
Dividing C(x) over x leads to:
A(x) = C(x)/x
A(x) = (14000+94x+0.03x^2)/x ... substitution
A(x) = (0.03x^2+94x+14000)/x ... rearrange terms
A(x) = (0.03x^2)/x+(94x)/x+(14000)/x ... break up the fraction
A(x) = 0.03x + 94 + (14000/x) ... simplify
If x were to head off to infinity, then the portion 14000/x approaches 0.
So this is why the oblique asymptote is y = 0.03x + 94
Basically, in the long run, the average cost will approach y = 0.03x + 94
The answer
the table is
x 0 1 4 5 7
y 3 1 0 -2 -2
<span>the approximate line of best fit to be y = –0.7x + 2.36
so when the value of x=5, the residual value is
</span><span>y = –0.7(5) + 2.36 = -1.14 this is the actual value
the predicted value is -2 (for x=5)
and residual value formula is RS = y actual value - y predicted value
so RS = -1.14 - (-2) = 0.86
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