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Greeley [361]
2 years ago
13

Among all pairs of numbers with a sum of 215, find the pair whose product is maximum. Write your answers as fractions reduced to

lowest terms.
Mathematics
1 answer:
valentina_108 [34]2 years ago
6 0

Answer:

Step-by-step explanation:

This is calculus, but I don't get fractions in the end. To maximize or minimize any function, you need to find the derivative of it, set it equal to 0, then solve for the critical values.

Our given equation is

x + y = 215 and we want to maximize the product, xy. Therefore,

y = 215 - x so its product in terms of x is

x(215-x) which is

215x -x^2.  The derivative of this is

215 - 2x. Set it equal to 0 to maximize it.

215 - 2x = 0 so

-2x = -215 and

x = 107.5.

Sub this in to solve for y:

y + 107.5 = 215 and

y = 107.5

The product is 11556.25, not that you need it.

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The residual value, which is the farthest from the line of best fit for the table which shows points and their residual values, is 0.7.

<h3>What is residual value?</h3>

The residual value is the estimated value which is calculated for the end of the lease terms for a fixed asset.

Points and their residual values are shown in the table. A 3-column table with 5 rows.

  •  x                               1,     2,     3,     4,     5.
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The simple regression line can be represented as,

\hat y=\alpha +\beta X+\hat e

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The point which is farthest from the best fit of the line is 3.5. At y=3.5, the value of residue is 0.7.

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Learn more about the residual value here;

brainly.com/question/1168961

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