January | February | March | |||||||
Budgeted production (in units) | 70,500 | ? | 82,500 | ||||||
Budgeted raw materials purchases (in pounds) | 195,561 | 159,100 | 161,300 | ||||||
Three pounds of raw materials are required to produce one unit of product. The company wants raw materials on hand at the end of each month equal to 21% of the following month's production needs. The company is expected to have 44,415 pounds of raw materials on hand on January 1. Budgeted production for February should be:
Multiple Choice
45,200 units
83,100 units
82,500 units
106,925 units
Answer: 45,200 units
Explanation
Desired ending raw materials inventory = 82,500 units x 3 pounds per unit x 21%
= 51,975
Let, Required production in units = "x"
Raw materials needed to meet the production = Required production in units x Raw materials required per unit
= x * 3
= 3x
Beginning raw materials inventory = x units * 3 pounds per unit * 21%
= 0.63x
Raw materials to be purchased in February = 159,100
Budgeted production for February
159,100 = 51,975 + 3x - 0.63x
2.37x = 107,125
x = 107,125 / 2.37
= 45,200 units
Therefore, Budgeted production for February = 45,200 units
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