Agentjamesbond007
  • Agentjamesbond007
Using Calculus, find two numbers whose sum is 23 and whose product is a maximum. [please explain process]
Mathematics
chestercat
  • chestercat
I got my questions answered at brainly.com in under 10 minutes. Go to brainly.com now for free help!
At vero eos et accusamus et iusto odio dignissimos ducimus qui blanditiis praesentium voluptatum deleniti atque corrupti quos dolores et quas molestias excepturi sint occaecati cupiditate non provident, similique sunt in culpa qui officia deserunt mollitia animi, id est laborum et dolorum fuga. Et harum quidem rerum facilis est et expedita distinctio. Nam libero tempore, cum soluta nobis est eligendi optio cumque nihil impedit quo minus id quod maxime placeat facere possimus, omnis voluptas assumenda est, omnis dolor repellendus. Itaque earum rerum hic tenetur a sapiente delectus, ut aut reiciendis voluptatibus maiores alias consequatur aut perferendis doloribus asperiores repellat.

Get this expert

answer on brainly

SEE EXPERT ANSWER

Get your free account and access expert answers to this
and thousands of other questions

JamesJ
  • JamesJ
You want to maximize xy, where x + y = 23. Now if x + y = 23, then y = 23 - x. Hence xy = x(23-x) Now maximize that function, which is a function of just one variable, \[ f(x) = x(23-x) \]
anonymous
  • anonymous
Yes, above answer is basically how you do it. Basically you are finding the rate of change. Lastly, to maximize the function, you would derive that f(x) and set it equal to zero, then plug it back into the original equation, and compare the values.

Looking for something else?

Not the answer you are looking for? Search for more explanations.