Find two positive numbers that satisfy the given requirements. The sum of the first number cubed and the second number is 500 and the product is a maximum. 15 & 473 6 & 284 $5\sqrt{5}$ & $500 - 25\sqrt{5}$ None of the choices 5 & 375
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We know that x^3 + y = 500 and xy is at its maximum. We can express y in terms of x from the first equation: y = 500 - x^3. The product xy then becomes x(500 - x^3). Show more…
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