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Question 7: Calculation of Standard Yield for a Chemical MixtureGiven Information:
- Standard Estimation: 8 tons of Material A at $4 per ton + 12 tons of Material B at $3 per ton
- Standard Yield: 90%
- Actual Estimation: 10 tons of Material A at $30 per ton + 20 tons of Material B at $25 per ton
- Actual Yield: 265 tons
Calculation of Standard Estimation:
To calculate the standard yield, we first need to determine the standard estimation of the chemical mixture.
Standard Estimation of Material A: 8 tons * $4 per ton = $32
Standard Estimation of Material B: 12 tons * $3 per ton = $36
Total Standard Estimation: $32 + $36 = $68
Calculation of Standard Yield:
The standard yield is given as 90% of the actual yield. To calculate the standard yield, we need to determine the actual yield first.
Actual Yield of Material A: 10 tons * $30 per ton = $300
Actual Yield of Material B: 20 tons * $25 per ton = $500
Total Actual Yield: $300 + $500 = $800
Standard Yield: 90% * $800 = $720
Comparison of Actual and Standard Yield:
Actual Yield: 265 tons
Standard Yield: $720
The actual yield of the chemical mixture is 265 tons, while the standard yield is $720.
Explanation:The given information provides the standard estimation and yield for a chemical mixture. The standard estimation is calculated by multiplying the quantity of each material with their respective prices. In this case, 8 tons of Material A is estimated at $4 per ton, and 12 tons of Material B is estimated at $3 per ton. The total standard estimation is the sum of individual estimations.
The standard yield is given as 90% of the actual yield. To calculate the standard yield, we need to determine the actual yield first. The actual yield is calculated by multiplying the quantity of each material with their respective prices. In this case, 10 tons of Material A is estimated at $30 per ton, and 20 tons of Material B is estimated at $25 per ton. The total actual yield is the sum of individual yields.
The comparison between the actual and standard yield shows that the actual yield is 265 tons, while the standard yield is $720.