how do u do optimization
help me please:(

Question

amistre64 · Answer

you start with a problem; and determines its critereia for the rates of change and then pick a suitable answer...

anonymous · Answer

for instance Find two positive numbers whose product is 900 and whose sum is a minimum. (Give your answers in increasing order.)

The 2 numbers x and 900/x have a product of 900.

To find when their sum is a minimum, find the lowest value of y for the equation y = x + 900/x where x is positive.

This occurs when x = 30 from its graph.

You can also find this minimum value by finding the first derivative of y = x + 900/x, setting it equal to zero, and solving for x.

f'(x) = 1 - 900/x²

1 - 900/x² = 0

x² - 900 = 0

x² = 900

x = 30