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3 years ago

Let x and y be two positive numbers whose sum is 175 and (x+3)(y+4) is a maximum

Mathematics

1 answer:

Vaselesa [24]3 years ago

4 0

Answer:

Step-by-step explanation:

x+y = 175

y = 175 - x

f(x) = (x+3)(y+4)

= x(175-x) + 3(175-x) + 4x + 12

= 175x - x² + 525 - 3x + 4x + 12

= -x² +176x + 537

f'(x) = -2x + 176

maximum when x = 88

y = 175-x = 87

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Answer: The common ratio is -1/3

-----------------------------------------------------------

Work Shown:

Pick any term to divide it by the previous term. I'm going to pick the second term and divide it by the first term.

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Step-by-step explanation:

We are given:

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Keywords: x and y intercepts

Learn more about x and y intercepts at:

#learnwithBrainly

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