SOLUTION: An artist can make two kinds of ornaments, free standing or hanging. He can make at most 50 ornaments each week, and the greatest number of hours he can work in a week is 70. It ta

Algebra ->  Equations -> SOLUTION: An artist can make two kinds of ornaments, free standing or hanging. He can make at most 50 ornaments each week, and the greatest number of hours he can work in a week is 70. It ta      Log On


   

Question 29146: An artist can make two kinds of ornaments, free standing or hanging. He can make at most 50 ornaments each week, and the greatest number of hours he can work in a week is 70. It takes 2 hours to make a free standing ornament and 1 hour to make a hanging ornament.
His profit is $9 for each free standing ornament and $12 for each hanging ornament. How many of each type ornament should he make to maximize his profit?
Thank you,
lyra
Answer by checkley72(6) About Me  (Show Source):
You can put this solution on YOUR website!
The profit for each ornament is $12.00 per hour for the hanging one & $4.50 per hour for the free standing one.
Seeing as he can only make 50 ornaments his best plan is to make 50 hanging ornaments netting him $ 600.00. Although he only works 50 hours.
Anytime he makes 1 less hanging ornament he can only make one free standing ornament which means he looses ($12.00 - $4.50) $7.50 on every free standing ornament.
If he made all free standing ornaments and worked the entire 70 hours he'd only make $9.00 X 35 = $315.00.
Best profit plan is work 50 hours and make 50 hanging ornaments.