Quality Problem

The production editor for Rayburn Publishing Company has $1800$ pages of manuscript that must be copyedited. Because of the short time frame involved, only two copyeditors are available: Erin Mosen and Sue Smith. Erin has $10$ days available, and Sue has $12$ days available. Erin can process $100$ ages of manuscript per day, and Sue can process $150$ pages of manuscript per day. Rayburn Publishing has developed an index used to measure the overall quality of a copyeditor on a scale from $1($worst$)$ and $10($best$).$ Erin's quality rating is $9,$ and Sue's quality rating is $6.$ In addition, Erin charges $$3$ per page of copyedited manuscript; Sue charges $$2$ per page. If a budget of $$4800$ has been allocated for copyediting, how many pages should be assigned to each copyeditor to complete the project with the highest possible quality?