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 build a treated lumber doghouse. The company
dedicates 50 hours every week towards building doghouses. It takes an additional hour to paint each
vinyl doghouse and an additional 2 hours to assemble each treated lumber doghouse. The company
dedicates 30 hours every week towards assembling and painting doghouses.
Write a system of equations that represent the production time needed to build each doghouse and
the production time needed for painting and assembling each doghouse. Use x to represent the
number of vinyl doghouses and y to represent the number of treated lumber doghouses.