Please make sure the answer is very detailed and explained.

The LaGrange Corporation had the following budgeted sales forthe first half of the current year: Cash Sales Credit Sales January $50,000 $150,000 February $55,000 $170,000 March $43,000 $130,000 April $38,000 $123,000 May $48,000 $200,000 June $80,000 $170,000 The company is in the process of preparing a cash budget and must determine the expected cash collections by month. To this end, the following information has been assembled: Collections on sales: 50% in month of sale 40% in month following sale 10% in second month following sale The accounts receivable balance on January 1 of the current year was $65,000, of which $42,000 represents uncollected December sales and $23,000 represents uncollected November sales. The total cash collected during January by LaGrange Corporation would be: Multiple Choice $261,000 $229,000 $84,000 $181,600