Among all pairs of numbers with a sum of 215, find the pair whose product is maximum. Write your answers as fractions reduced to
1 answer:
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
. 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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<h2>These measurements will not form a triangle.</h2>
Step-by-step explanation:
We have sine formula
Given
a = 9.7
b = 49
A = 26°
Substituting
Value of sin B is greater than 1, which is not possible.
Hence these measurements will not form a triangle.
Answer:
The total number of units produced is 6 .
Step-by-step explanation:
Given as :
The earning of worker at the factory = $ 12 per hour + $ 2.50 each unit per hour
The total earning of worker per hour = $ 27
Let The total number of unit produced = x
According to question
The wage worker earn per hour + earning × per unit produced that hour = Total earning of worker per hour
Or, $ 12 per hour + $ 2.50 each unit per hour × x = $ 27
Or, $ 2.50 each unit per hour × x = $ 27 - $ 12
Or, $ 2.50 each unit per hour × x = $ 15
∴ x =
Or, x = 6
Hence The total number of units produced is 6 . Answer