(a)
To calculate: The maximum production level for the manufacturer by the application of Lagrange multipliers whose production function is given as
(b)
To calculate: The marginal productivity of money when production function of manufacturer is given as
(c)
To calculate: The maximum number of units that can be produced by using marginal productivity of money when
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Calculus: An Applied Approach (MindTap Course List)
- Projectile Motion In Exercises 75 and 76, consider the path of an object projected horizontally with a velocity of v feet per second at a height of s feet, where the model for the path is x2=v216ys. In this model (in which air resistance is disregarded), y is the height (in feet) of the projectile and x is the horizontal distance (in feet) the projectile travels. A ball is thrown from the top of a 100-foot tower with a velocity of 28 feet per second. (a) Write an equation for the parabolic path. (b) How far does the ball travel horizontally before it strikes the ground?arrow_forwardUsing the Lagrangian Method. Determine the optimal mix of the two goods minimizing average cost such that the total quantity of X and Y is 40 units. AC=2X^2+4Y^2-4XY-40X-100Y+40arrow_forwardFind the maximum value of f(x, y) = xy subject to y = 3 − x2 Also find the corresponding point (x, y)arrow_forward
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