Assume a company's sales budget for April and May is $38,000$ units and $40,000$ units, respectively. Its production budget for the same two months is $35,000$ units and $36,000$ units, respectively. Each unit of finished goods required $4$ pounds of raw materials. The company always maintains raw materials inventory equal to $20\%$ of the following months production needs.

Also assume the company pays $$2\mathrm{.}35$ per pound of raw material. It always pays for $50\%$ of its raw material purchases in the month of purchase and the remainder in the following month. The accounts payable balance on March ${31}^{st}$ is $$138,000.$ What would be the accounts payable balance at the end of April?

Multiple Choice

$$155,440$

$$165,440$

$$170,440$

$$168,940$