Ques: 7: The standard est of a che mixture is enders 8 tons of Materia...
Comparing Standard Yield with Actual Yield
The given scenario involves a comparison between the standard yield and actual yield of a chemical mixture. Let's break down the problem and compare the yields in detail.
Standard Yield
- The standard yield of the chemical mixture is 90% of the sum of the weights of Material A and Material B.
- Material A weighs 8 tons and costs Rs. 40 per ton.
- Material B weighs 12 tons and costs Rs. 30 per ton.
- Therefore, the total cost of the mixture per ton is (8*40 + 12*30)/(8+12) = Rs. 32.
Actual Yield
- The actual yield of the chemical mixture is given for two different periods.
- For the first period, the weights of Material A and Material B are 10 tons and 20 tons, respectively.
- The cost of Material A is Rs. 30 per ton, and the cost of Material B is Rs. 25 per ton.
- Therefore, the total cost of the mixture per ton is (10*30 + 20*25)/(10+20) = Rs. 26.67.
- For the second period, the actual yield is given as 26.5 tons.
- The weights of Material A and Material B are unknown for this period.
Comparison
- The standard yield cost per ton is Rs. 32, while the actual yield cost per ton for the first period is Rs. 26.67.
- This means that the actual yield for the first period is better than the standard yield, as it costs less per ton.
- However, we cannot compare the actual yield for the second period with the standard yield, as we do not know the weights of Material A and Material B for this period.
Conclusion
- The actual yield is better than the standard yield for the first period, but we cannot compare it for the second period without additional information.
- The company should try to replicate the conditions of the first period to achieve better yields in the future.