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In the past, four direct labor hours were required to produce each unit of product Y. Material costs were $200 per unit, the direct labor rate was $20 per hour, and factory overhead was three times direct labor cost. In budgeting for next year, management is planning to outsource some manufacturing activities and to further automate others. Management estimates these plans will reduce labor hours by 25%, increase the factory overhead rate to 3.6 times direct labor costs, and increase material costs by $30 per unit. Management plans to manufacture 10,000 units. What amount should management budget for cost of goods manufactured?

Question

In the past, four direct labor hours were required to produce each unit of product Y. Material costs were 200perunit,thedirectlaborratewas200 per unit, the direct labor rate was 20 per hour, and factory overhead was three times direct labor cost. In budgeting for next year, management is planning to outsource some manufacturing activities and to further automate others. Management estimates these plans will reduce labor hours by 25%, increase the factory overhead rate to 3.6 times direct labor costs, and increase material costs by $30 per unit. Management plans to manufacture 10,000 units. What amount should management budget for cost of goods manufactured?

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Solution

To calculate the budget for the cost of goods manufactured, we need to consider the changes in labor hours, factory overhead rate, and material costs per unit.

  1. Calculate the new labor hours: Previously, it took 4 hours to produce one unit. With a 25% reduction, the new labor hours per unit would be 4 hours * (1 - 0.25) = 3 hours.

  2. Calculate the new labor cost per unit: The labor rate is 20perhour,sothenewlaborcostperunitwouldbe3hours20 per hour, so the new labor cost per unit would be 3 hours * 20/hour = $60.

  3. Calculate the new factory overhead cost per unit: The new factory overhead rate is 3.6 times the direct labor cost, so the new factory overhead cost per unit would be 3.6 * 60=60 = 216.

  4. Calculate the new material cost per unit: The material cost per unit is increasing by 30,from30, from 200 to $230.

  5. Calculate the total cost per unit: The total cost per unit would be the sum of the labor cost, factory overhead cost, and material cost, which is 60+60 + 216 + 230=230 = 506.

  6. Calculate the total cost for 10,000 units: Finally, to find the total cost for 10,000 units, multiply the cost per unit by the number of units, which is 50610,000=506 * 10,000 = 5,060,000.

Therefore, management should budget $5,060,000 for the cost of goods manufactured.

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