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3 years ago

The product of two numbers is 192. what is the minimum value of the sum of the first value plus twice the second value

1 answer:

4 0

Let x and y be the two positive numbers. - Their product is 192: x * y = 192 equation 1

- the sum of the first plus twice the second is a minimum: x + 2y

From the first equation, y = 192 / x.
Substitute that into the second equation:

x + 2y = x + 2(192/x ) = x + 384/x

f(x) is minimum when f'(x) = 0 and f"(x) > 0

f(x)= x + 384/x

f(x) = 1-384/x^2

1-384 / x^2 = 0

x^2-384 = 0

x^ 2= 354
x = radical 354 = 18.8 here i'm confused why the number is decimal
???/

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Answer:

Part 1

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Part 2

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Step-by-step explanation:

Data provided in the question

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Part 1

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Step-by-step explanation:

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As per the statement:

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