A certain electronics manufacturer found that the average cost C C to produce x DVD/Blu- ray players can be found using the equa
1 answer:
Answer:
83,491.67 dollars
Step-by-step explanation:
Given that a certain electronics manufacturer ound that the average cost C C to produce x DVD/Blu- ray players can be found using the equation
To find the minimum average cost per machine we can use derivative test.
we find first and second derivative.
If for a particular value of x first derivative is 0 and second derivative is positive, then that x satisfies the minimum cost criteria.
Second derivative is always positive
I derivative =0 gives
For 83 players the cost would be minimum
Minimum cost =
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now, by traditional method, as "x" progresses towards the positive infinitity, it becomes 100, 10000, 10000000, 1000000000 and so on, and notice, the limit of the numerator becomes large.
BUT, notice the denominator, for the same values of "x", the denominator becomes larg"er" than the numerator on every iteration, ever becoming larger and larger, and yielding a fraction whose denominator is larger than the numerator.
as the denominator increases faster, since as the lingo goes, "reaches the limit faster than the numerator", the fraction becomes ever smaller an smaller ever going towards 0.
now, we could just use L'Hopital rule to check on that.
notice those derivatives atop and bottom, the top is static, whilst the bottom is racing away to infinity, ever going towards 0.
Answer: The concentration of X is and the concentration of Y is
.
Step-by-step explanation:
Since we have given that
At 272 nm, absorbance = 0.215
At 327 nm, absorbance = 0.191
As we have given that
Compound X Compound Y
272 16400 3870
327 3990 6420
So, our equations becomes
By solving these two equations, we get that
Hence, the concentration of X is and the concentration of Y is
.