Question

universal pet house sells vinyl doghouses and treated lumber doghouses. it takes the company 5 hours to build a vinyl doghouse and 2 hours to buil a treated lumber doghouse. the company dedicates 50 hours every week toward building doghouses. it takes an additional hour to paint each vinyl doghouse and an additional 2 hours to assemble each treated lumber dog house. the company dedicates 30 hours a week toward assembling and painting doghouses. write a system of equations that represents the production time needed to build each doghouse and the production time needed for painting and assembling each doghouse. use x to reprsent the number of vinyl doghouses and y to represent the number of treated lumber doghouse.

Answer 1

5 hours to build 1 vinyl doghouse
2 hours to build 1 lumber doghouse
1 hour to paint 1 vinyl doghouse
2 hours to assemble 1 lumber doghouse

Company hours = 50 hours/week
For assembly and painting = 30 hours/week

Let x = number of vinyl dog houses
y = number of lumber dog houses

Build time = 5x
Build time = 2y
Paint time = x
Assembly time = 2y

Total time = 6x
= 4y