The sum of two numbers is 70. Find the numbers if their product is a maximum. Show steps please!
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Originally Posted by bubbles73 The sum of two numbers is 70. Find the numbers if their product is a maximum. Show steps please! Let and be positive numbers. Thus, However, their product must be a maximum. Since Thus, we see that Since it has to be a maximum, differentiate and set equal to zero. Now that we found , we can find : I hope this makes sense! --Chris
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