The Charleston Company, who makes wooden dog houses, is creating their Direct Materials Budget for the upcoming year. They estimated the following: Units of Production Needed for next year is $10,000$ units; the Desired Ending Direct Material Inventory is $5,000$ board feet of wood, the Estimated Beginning Direct Material Inventory is $3,000$ board feet of wood, the total board feed of wood it takes to build a dog house is $50$ board feet, and the cost of wood per board foot is $$0\mathrm{.}50.$

What is the Total Cost of Raw Material to be Purchased for the year?

$50,000$

$251,000$

$300,000$

$502,000$