anonymous
  • anonymous
A farmer is building a rectangular, three-sided fence next to a river. One of the sides is $15/foot while the other two are $10/foot. The area must be 1.6 million square feet. Find the dimensions that minimize the cost of the fence.
Mathematics
  • Stacey Warren - Expert brainly.com
Hey! We 've verified this expert answer for you, click below to unlock the details :)
SOLVED
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.
jamiebookeater
  • jamiebookeater
I got my questions answered at brainly.com in under 10 minutes. Go to brainly.com now for free help!
anonymous
  • anonymous
\[C=10x+15y+15y =10x+30y \] use A=xy=1.6 to solve for y in terms of x then substitute into the cost function , take the derivative and find the critital points the minimal will occur at the critical point
anonymous
  • anonymous
I plug the critical points back into the Cost of Area equation ?
anonymous
  • anonymous
*cost or area

Looking for something else?

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

More answers

anonymous
  • anonymous
\[y=1,600,000/x\] substitute this into the cost function for y. then take the derivative of the cost function
anonymous
  • anonymous
sorry the cost function is \[C=20x +15y\]
anonymous
  • anonymous
So you end up with C = 20(1,600,000/y) + 15y
anonymous
  • anonymous
which is C = 32,000,000/y + 15y
anonymous
  • anonymous
WOULD THE area be A=xy or A=2xy

Looking for something else?

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