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October 22, 2014

October 22, 2014

Posted by **Setareh** on Tuesday, November 20, 2007 at 9:52pm.

We have to figure out the choices that will optimize the profit and minimize her cost.

thank you for the help!!!

- Math(Algebra2) -
**bobpursley**, Tuesday, November 20, 2007 at 10:13pmCost of ceramic tile laying

Craftsman: 500/200 or 2.5 tiles/dollar

Apprentice: 100/120 or .85 tiles/dollar.

Cost of Vinyl:

Craftsman: 200/200= 1 tile/dollar

Apprentice: 200/120= 1.66 tiles/dollar

So looking at productivity, Craftsman can lay ceramic tile well, and apprentice can do the leftover vinyl

I wonder if you really mean AND in the data, or meant OR

If you really meant AND, then start here:

1) Hire 5 craftsman: They lay 2400 ceramic tile AND 1000 sq ft of Vinyl.

Hire three apprentices, they lay 600 square feet of vinyl

Cost of this option: 5*200 + 3*120=1360

Compare this option to ...

2) hire 4 craftmen to do 2000 ft^2 of ceramic tile, and 800 sqft of vinyl

and hire 4 apprentice to do 400 sqft of ceramic, and 800 sqft of vinyl

Cost of this option is 4*200 + 4*120= 1280

compare this option to

2) Hire 3 craftsmen to do 1500 sqft ceramic and 600 vinyl, and

Hire 10 apprentices to do 900 sqft of ceramic tile and 1000 sqft of vinyl

Cost= 3*200 + 10*120= 1800 dollars.

It pays to use the most productive folks, option 2

If you meant lays 500 sqft ceramic OR 200 sqft vinyl, that is a different solution.

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