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3 years ago

10

Find two positive numbers a and b (witha≤b) whose sum is 88 and whose product is maximized.

1 answer:

Allushta [10]3 years ago

3 0

a + b = 88 <span>
<span>
</span><span>ab = y
</span><span>
</span><span>a = 88 - b
</span><span>
</span><span>y = (88 - b)*b
</span> <span>y = -b^2 + 88b
</span><span>
</span><span>Take the derivative and set equal to 0
</span><span>
</span><span>y' = -2b + 88 = 0
</span><span>
</span><span>2b = 88
</span> <span>b = 44 </span></span>

<span><span>a=44</span></span>

<span><span> both numbers are 44</span></span>

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