Problema Solution
It costs a business $20 to make one compact disk player and $10 to make one radio. Each week the company must make a combined total of at least 50 cd players and radios. At least as many cd players as radios must be manufactured. Determine how many cd and radios should be made to minimize weekly costs.
Answer provided by our tutors
let
x=amount of compact disks
y= amount of radios
Constraints:
x+y≥50
x≥y
x≥0
Objective function: f(x,y)=20x+10y
we need to find the minimum and that's why we consider the vertices:
(0,0) (50,0) and (25,25)
for (0,0) it can't be the case since there must be some production
for (50,0) we have f(50,0) = 20*50 + 10*0 = 1000
for (25, 25) we have f(25,25) = 20*25 + 25*10 = 750
there should be 25 cds and 25 radios produced to minimize the weekly cost.