To estimate the total earnings from selling dumplings, we will first determine how many plates of dumplings were sold, and then calculate the total earnings based on the price per plate.
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Calculate the number of plates sold: \[ \text{Number of plates} = \frac{\text{Total dumplings}}{\text{Dumplings per plate}} = \frac{85,248}{12} \approx 7,104 \]
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Calculate total earnings: \[ \text{Total earnings} = \text{Number of plates} \times \text{Price per plate} = 7,104 \times 9.89 \]
For estimation, we can round \(9.89\) to about \(10\): \[ \text{Estimated total earnings} \approx 7,104 \times 10 = 71,040 \]
From the options provided, the closest estimate to the total earnings is 80,000.
Thus, the best estimate for the shop’s total earnings from selling dumplings is 80,000.