universal pet house sells vinyl doghouses and treated lumber doghouses.It takes the company 5 hours to build a vinly 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 time needed to produce vinyl doghouses and y to represent the time needed to produce trested lumber doghouses.