The problem goes like this:
A man is selling two types of lightbulbs. Lightbulb X costs $1.70, but 9% are defective, and so, cannot be sold. Lightbulb Y costs $0.90, but 12% are defective. The man wants to purchase at least 10 000 lightbulbs of each type, but he wants at least 10% of the total to be lightbulb X and at most 70% of total of lightbulb Y. Minimize the total cost.
Now my question is what do I do with the defect rates? I believe they are constraints, but have no clue how... And please, do not give me the answer, i would like to learn.
Thank you in advance,
I like Pi
The Attempt at a Solution
Let x = # of X lightbulbs
Let y = # of Y lightbulbs
Cmin = 1.7x + .9y (objective)
x, y ≥ 10 000
x ≥ .10(x+y) ... x ≥ (.10/.90)y
y ≤ .70(x+y) ... y ≤ (.70/.30)x