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Answer:
a. The equivalent units of work done in June= 450,000
b. The total manufacturing cost per chip= $ 12.199= $ 12.2
Explanation:
a. The equivalent units of work done in June
Units Started 475,000
Units Completed 425,000
Units still in Process completed 50% = (50,000 * 50%) 25,000
The equivalent units of work done in June = 450,000
b. The total manufacturing cost per chip
Direct material cost $935,750
Conversion costs $4,554,000
The total manufacturing $ 5489750
The total manufacturing cost per chip = $ 5489750/450,000
The total manufacturing cost per chip = $ 12.199= $ 12.2
A-The correct units of work done, equivalent to the units produced, will be computed by using the formula as 450,000 units. B- The total manufacturing cost per chip will be computed as 12.99 US Dollars.
The computation of the equivalent units of work done and the total cost of manufacturing of one semiconductor chip can be calculated using the methods as given under.
- The calculation of equivalent units of work done can be done by applying the given values to the following formula.
- [tex]\rm Equivalent\ Units\ of\ Work\ Done= Units\ Completed- 50\%\ of\ Units\ Under\ Process[/tex]
- Applying values to the given formula, we get,
- [tex]\rm Equivalent\ Units\ of\ Work\ Done= 425000+25000[/tex]
- We've computed units under production as 50% of the units i.e., 25000 units. We finally get,
- [tex]\rm Equivalent\ Units\ of\ Work\ Done= 425000\ units[/tex]
- Now, calculating the cost of manufacturing one semiconductor chip can be calculated using the formula below,
- [tex]\rm Cost\ of\ Manufacturing\ per\ Unit= \dfrac{Total\ Cost\ of\ Manufacturing}{No.\ of\ Units}[/tex]
- Inserting the given values in the formula by summation of direct material costs and conversion costs, which comes down to $5489750.
- [tex]\rm Cost\ of\ Manufacturing\ per\ Unit= \dfrac{5489750}{450000}\\\\\\\rm Cost\ of\ Manufacturing\ per\ Unit= \$12.19[/tex]
Hence, equivalent units of work done is calculated as 450000 units and the Cost of manufacturing per chip is calculated as $12.19 using the methods as aforementioned.
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