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Calculate the sales proportion of Product ABC relative to the total category sales.

Mathematics

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To calculate the number of facings Product ABC must get, we need to determine its proportion of the total sales for the category and then apply that proportion to the total number of facings available.

  1. Calculate the sales proportion of Product ABC relative to the total category sales.

    Sales proportion of Product ABC=Sales of Product ABCTotal Rate of Sale of the category\text{Sales proportion of Product ABC} = \frac{\text{Sales of Product ABC}}{\text{Total Rate of Sale of the category}} Sales proportion of Product ABC=632 products/month1053 products/month\text{Sales proportion of Product ABC} = \frac{632 \text{ products/month}}{1053 \text{ products/month}}
  2. Calculate the number of facings for Product ABC by multiplying its sales proportion by the total number of facings for the category.

    Facings for Product ABC=Sales proportion of Product ABC×Total number of facings for the category\text{Facings for Product ABC} = \text{Sales proportion of Product ABC} \times \text{Total number of facings for the category} Facings for Product ABC=6321053×350\text{Facings for Product ABC} = \frac{632}{1053} \times 350 Facings for Product ABC≈0.6001899×350\text{Facings for Product ABC} \approx 0.6001899 \times 350 Facings for Product ABC≈210.066\text{Facings for Product ABC} \approx 210.066

    Since the number of facings must be a whole number, we round to the nearest integer.

    Facings for Product ABC=210\text{Facings for Product ABC} = 210

    Comparing this to the given options, 210 is one of the choices.

    The correct answer is:

    • 210
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