Marple Company's budgeted production in units and budgeted raw materials purchases over the next three months are given below:
January February March
Budgeted production (in units) 60,000 ? 100,000
Budgeted raw materials purchases (in pounds) 129,000 165,000 188,000
Two 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 30% of the following month's production needs. The company is expected to have 36,000 pounds of raw materials on hand on January 1. Budgeted production for February should be:______.
A) 105,000 units.
B) 82,500 units.
C) 150,000 units.
D) 75,000 units.

Respuesta :

Answer: 75,000 units

Explanation:

Come up with an expression to solve this.

Assume the budgeted production needed is P.

P needs 2 pounds of raw materials per unit so raw materials needed are 2P.

Beginning raw materials for February have to be 30% of the needs of February;

= 30% * 2P

= 0.6P

Ending raw materials for February have to be 30% of March needs so;

= 30% * 100,000 * 2 pounds

= ‭60,000‬ pounds

So;

Budgeted raw materials purchase for February = Raw materials needed + Ending raw materials - Beginning raw materials

165,000 = 2P + 60,000 - 0.6P

1.4P = 165,000 - 60,000

P =  (165,000 - 60,000) / 1.4

= 75,000 units

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