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

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) (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.

RELATED QUESTIONS
Jeremy sells 120 handmade ornaments per week at $4 per ornament. For each $0.50 decrease... (answered by josgarithmetic)

hello there. i am having troubles with translating verbal phrases into inequalities.. so... (answered by AnlytcPhil)

At a craft fair, Ellyn sold ornaments that she created. She sold the small ornaments for... (answered by solver91311)

when mrs.ozinga decorated her tree, the ratio of red ornaments to wooden ornaments was... (answered by Fombitz)

One bacth of dough makes 15 ornaments. How many ornaments can be made with 3 batches of... (answered by checkley71)

four spherical ornaments are sold in a cylindrical container as shown. the cylinder has... (answered by ankor@dixie-net.com)

An artist wants to make alabaster pyramids using a block of alabaster with a volume of... (answered by smartdoctor96)

An artist wants to make alabaster pyramids using a block of alabaster with a volume of... (answered by Cromlix)

For each ornaments that a worker makes,he is paid $1.15.he makes 4 ornaments every 15... (answered by josgarithmetic,MathTherapy,ikleyn)