Sheffield Corp. estimates its sales at 150000 units in the first quarter and that sales will increase by 15000 units each quarter over the year. They have, and desire, a 25% ending inventory of current quarter's sales in units. Each unit sells for $35. 40% of the sales are for cash. 70% of the credit customers pay within the quarter. The remainder is received in the quarter following sale. Production in units for the third quarter should be budgeted at:

183,750

Explanation:

Data provided in the question:

Sales in the first quarter = 150,000 units

Increase in sales each quarter = 15000 units

Ending inventory = 25% of the current sales units

Now,

Ending inventory of first quarter = 25% of Units produced in the first quarter

= 0.25 * 150,000

= 37,500

Units produced in the first quarter = Sales + Ending inventory of first quarter

= 150,000 + 37,500

= 187,500

Units to be produced in the second quarter

= Sales in second quarter - Ending inventory of first quarter + Ending inventory

= [ 150,000 + 15,000 ] - 37,500 + 25% of [ 150,000 + 15,000 ]

= 165,000 - 37,500 + 41,250

= 168,750

Units to be produced in the Third quarter

= Sales in third quarter - Ending inventory of second quarter + Ending inventory

= [ 150,000 + 15,000 + 15,000 ] - 41,250 + 25% of [ 150,000 + 15,000 + 15,000 ]

= 180000 - 41,250 + 45,000

= 183,750