Thread: [SOLVED] Use graphical methods to solve a linear programming problem

NVM

Originally Posted by majax79

A math camp wants to hire counselors and aides to fill its staffing needs at minimum cost. The average monthly salary of a counselor is $2400 and the average monthly salary of an aide is $1100. The camp can accomodate up
to 45 staff members and needs at least 30 to run properly. They must have at least 10 aides, and may have up to 3 aides for every 2 counselors. How many counselors and how many aides should the camp hire to minimize
cost?

a. Define variables.
b. Write a system of linear inequalities to model this problem.

To a):

s := monthly salary
c := number of counselors
a := number of aides

to b):

Solve these inequalities vor c and draw the graphs. Determine the feasible polygon. Use the vertex which produces the lowest parallel to the line describing the salary.

and:



I've got 30 aides and 0 counselors would cause the lowest costs.

Originally Posted by majax79

Anyone?

I'm just curious: What have you done during the last 3 hours? (beside typing "Anyone?")

I've been working on this problem...oh and I masturbated too.

Originally Posted by majax79

oh and I masturbated too.