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Calculate the total consumption for the 12 months.

Economics

ScanSolve AI Answer

Answer

1307.17 kg\text{1307.17 kg}

Step-by-step solution

3 steps

To calculate the minimum stock, we first need to find the average monthly consumption. The problem states that the minimum stock is fixed at 2 months of average consumption.

  1. Calculate the total consumption for the 12 months.

    The table provides the consumption for each month and a total.
    Total consumption = 630+654+568+698+645+732+845+50+658+768+745+850=7843 kg630 + 654 + 568 + 698 + 645 + 732 + 845 + 50 + 658 + 768 + 745 + 850 = 7843 \text{ kg}.

  2. Calculate the average monthly consumption.

    The average monthly consumption is the total consumption divided by the number of months.

    Average monthly consumption=Total consumptionNumber of months\text{Average monthly consumption} = \frac{\text{Total consumption}}{\text{Number of months}} Average monthly consumption=7843 kg12 months\text{Average monthly consumption} = \frac{7843 \text{ kg}}{12 \text{ months}} Average monthly consumption≈653.5833 kg/month\text{Average monthly consumption} \approx 653.5833 \text{ kg/month}
  3. Calculate the minimum stock.

    The minimum stock is 2 months of average consumption.

    Minimum stock=2×Average monthly consumption\text{Minimum stock} = 2 \times \text{Average monthly consumption} Minimum stock=2×784312 kg\text{Minimum stock} = 2 \times \frac{7843}{12} \text{ kg} Minimum stock=78436 kg\text{Minimum stock} = \frac{7843}{6} \text{ kg} Minimum stock≈1307.17 kg\text{Minimum stock} \approx 1307.17 \text{ kg}

    The minimum stock is approximately 1307.17 kg\text{1307.17 kg}.

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