Assume that a company expects to produce $11,700,12,700,$ and $14,700$ units of finished goods in January, February, and March, respectively. Each unit of finished goods requires $3$ pounds of raw material and each pound of raw material costs $$5\mathrm{.}25.$ The company always maintains an ending raw materials inventory equal to $30\%$ of next month's production needs. What is the amount of expected raw materials purchases for February?

Multiple Choice

$$204,075$

$$209,475$

$$168,765$

$$169,575$