Solve for and interpret the lagrangian multiplier

Reference no: EM13245956

The Wellness Center is an organization providing help to distressed students on campus during the two weeks exam period at the end of every semester. You've been hired as a business consultant to help the Center develop a hiring policy so that it can provide the most meaningful student service (S) possible. You've determined that service can be described as a function of Medical (M) and Counseling (C) staff input as follows: S = M + 0.5C + 0.5MC - C2
The staff budget for the Wellness Center for the coming semester is $1,200.00. Each member of the medical staff costs $60 and each member of the counseling staff costs $30.

(a) Determine the optimal combination of medical and counseling staff for the Wellness Center.

(b) Solve for and interpret the Lagrangian multiplier.

Reference no: EM13245956

Questions Cloud

The madison location is the central headquarters for badger : The Madison location is the central headquarters for Badger Widgets. They have a full IT staff along with an established network infrastructure that includes Windows Server 2008 servers

Calculate moes utility-maximizing purchases of x and y : Moe's income is $320 per week and he spends it on two goods, X and Y. Good X costs $8 and good Y costs $4 per unit. His utility function is U = 4.5XY. (a)Calculate Moe's utility-maximizing purchases of X and Y.

What is the wind velocity : A light plane is headed due south with a speed of 190km/h relative to still air. After 1.00 hour, the pilot notices that they have covered only 137km, What is the wind velocity (magnitude)

Explain the continuity correction factor : Explain the Continuity Correction Factor and provide a good example and estimate the population proportion

Solve for and interpret the lagrangian multiplier : The staff budget for the Wellness Center for the coming semester is $1,200.00. Each member of the medical staff costs $60 and each member of the counseling staff costs $30. (a) Determine the optimal combination of medical and counseling staff for t..

Find the magnitude of the terminal velocity : You are told that the linear "drag coefficient" due to air resistance for a particular object is 0.32 N · s/m, Find the magnitude of the terminal velocity of this object when dropped from rest

Find the level of tv and magazine advertising units : A firm has decided through regression analysis that its sales (S) are a function of the amount of advertising (measured in units) in two different media, television (x) and magazines (y): S(x, y) = 100 - x^2 + 30x - y^2 + 40y (a) Find the level o..

What is the major problem in achieving an efficient use : What is the major problem in achieving an efficient use of the world's water If there were a global market in water, like there is in oil, how do you think the market would work Would a free world market in water achieve an efficient use of the ..

What are the magnitude and direction of the velocity : On a frictionless air track, a blue glider with mass 0.200 kg is moving to the right with a speed of 8.00 m/s, What are the magnitude and direction of the velocity of the red glider after the collision

User Account

All Pages