Math(Algebra2)
posted by Setareh .
Craftsmen install 500 sq ft of ceramic tile and 200 sq ft of vinyl tile in one day. An apprentice installs 100 sq ft of ceramic tile and 200 sq ft of vinyl tile in one day. The firm has a job that requires 2400 sq ft if ceramic tile and 1600 sq ft of vinyl tile. Tessa pays craftsmen $200 per day and apprentices $120 per day.
We have to figure out the choices that will optimize the profit and minimize her cost.
thank you for the help!!!

Cost 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.
Respond to this Question
Similar Questions

Algebra
Jim is installing ceramic tile behind his kitchen sink. Each tile is a square with side length 4 1/4 inches. For each tile, he allows an additional 1/8 inch per side for the grout between tiles. How many tiles should he buy if the … 
Algebra 2
A construction firm employs two levels of title installers: craftsmen and apprentices. Craftsmen install 500 sq feet of specialty tile, 100 square feet of plain tile, and 100 linear feet of trim in one day. Apprentice installs 100 … 
Math
I have a bag of tiles 09. Without looking select a tile, record, return tile, select a second tile. What is the probability that exactly one tile will be a prime number? 
Math
Craftsmen install 500 sq ft of ceramic tile and 100 sq ft of vinyl tile in one day. An apprentice installs 100 sq ft of ceramic tile and 200 sq ft of vinyl tile in one day. The firm has a job that requires 2000 sq ft of ceramic tile … 
Math
Craftsmen install 500 sq ft of ceramic tile and 100 sq ft of vinyl tile in one day. An apprentice installs 100 sq ft of ceramic tile and 200 sq ft of vinyl tile in one day. The firm has a job that requires 2000 sq ft of ceramic tile … 
Math
Craftsmen install 500 sq ft of ceramic tile and 100 sq ft of vinyl tile in one day. An apprentice installs 100 sq ft of ceramic tile and 200 sq ft of vinyl tile in one day. The firm has a job that requires 2000 sq ft of ceramic tile … 
Algebra
Sam is installing ceramic tiles in his bathroom. The area of each tile is 97 square inches.To the nearest inch what is the length of one side of the tile. 
math
Regis has a bag with 8 tiles numbered 1 through 8. He randomly draws one tile from the bag without looking.Which of the following decribes a likely outcome? 
math
Emmanuel wants to tile his rectangular floor. one of which is larger than the other. a)what area will be covered by the "8x8"tile? 
spatial reasoning
You have a pile of 1 x 2 unit dominoes. There's one way to tile a 1x2 area, 2 ways to tile a 2x2 area, 3 ways to tile a 3x2 area, and 5 ways to tile a 4x2 area. How many ways are there to tile a 5x2 area with your 1x2 domino tiles?