Wilco inc, a mariffacturer of accounting books, projects sales for the first site months of $2023$ as follows:

$\backslash$table$[[$Month$,$Production $($in units$)],[$January$,40,000],[$February$,60,000],[$March$,80,000],[$April$,90,000],[$May$,70,000]]$

Each book requires $5$ yards of wood pulp at a cost of $$8$ per yard and $3$ ounces of ink at a cost $$3$ per ounce. Raw materials inventory on December $31,2022$ is $10,000$ yards of wood pulp and $8,000$ ounces of ink. Wilco wants ending raw materials inventory each month to equal $30\%$ of the next month's budgeted production needs. What is Wilco's budgeted purchases of wood pulp for April $($in dollars$)?$

$$3,360,000$

$$420,000$

$$3,600,000$

$$ $$756,000$