Question

In: Math

Use Lagrange multipliers to find the maximum production level when the total cost of labor (at...

Use Lagrange multipliers to find the maximum production level when the total cost of labor (at $111 per unit) and capital (at $50 per unit) is limited to $250,000, where P is the production function, x is the number of units of labor, and y is the number of units of capital. (Round your answer to the nearest whole number.) (Please use the numbers given I've followed other 'solutions' and keep getting the wrong answer, I just want to see that the method used in response gets the correct answer and how.)

P(x, y) = 100x0.25y0.75

Solutions

Expert Solution


Related Solutions

Use the method of Lagrange multipliers to find the absolute maximum and minimum values of the...
Use the method of Lagrange multipliers to find the absolute maximum and minimum values of the function f(x, y, z) = x^2yz^2 subject to the constraint 2x ^2 + 3y^ 2 + 6z^ 2 = 33
2.) Use the method of Lagrange multipliers to find the maximum and minimum values of the...
2.) Use the method of Lagrange multipliers to find the maximum and minimum values of the function ?(?, ?) = ??^2 − 2??^2 given the constraint ?^2 + ?^2 = 2 along with evaluating the critical points of the function, find the absolute extrema of the function ?(?, ?) = ??^2 − 2??^2 in the region ? = {(?, ?)|?^2 + ?^2 ≤ 2}.
use the method of Lagrange multipliers to find the absolute maximum and minimum values of the...
use the method of Lagrange multipliers to find the absolute maximum and minimum values of the function subject to the given constraints f(x,y)=x^2+y^2-2x-2y on the region x^2+y^2≤9 and y≥0
use Lagrange multipliers to find the maximum and minimum values of f subject to the given...
use Lagrange multipliers to find the maximum and minimum values of f subject to the given constraint, if such values exist.  f(x, y, z) = xyz, x2 + y2 + 4z2 = 12
Use Lagrange multipliers to find the point on the given plane that is closest to the...
Use Lagrange multipliers to find the point on the given plane that is closest to the following point. x − y + z = 6;    (2, 7, 3)
Use Lagrange multipliers to find the point on the plane 2x + y + 2z =...
Use Lagrange multipliers to find the point on the plane 2x + y + 2z = 6 which is closest to the origin
Use Lagrange multipliers to find the distance from the point (2, 0, −1) to the plane...
Use Lagrange multipliers to find the distance from the point (2, 0, −1) to the plane 4x − 3y + 8z + 1 = 0.
Use Lagrange multipliers to find the absolute extrema of f(x,y) = x2 + y2 - 2x...
Use Lagrange multipliers to find the absolute extrema of f(x,y) = x2 + y2 - 2x - 4y + 5 on the region x2 + y2 <= 9.
Use Lagrange multipliers to solve the given optimization problem. HINT [See Example 2.] Find the minimum...
Use Lagrange multipliers to solve the given optimization problem. HINT [See Example 2.] Find the minimum value of f(x, y) = x2 + y2 subject to x + 2y = 45. fmin = Also find the corresponding point (x, y). (x, y) =
Use the method of Lagrange multipliers to find the extreme values of f(x, y) = 2x^2−3y^2...
Use the method of Lagrange multipliers to find the extreme values of f(x, y) = 2x^2−3y^2 subject to the constraint that x^2+y^2 = 3.
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT