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

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

ScanSolve AI Answer

Answer

\frac{632}{1053} \times 350 $$

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.

Step 1: Calculate the sales proportion of Product ABC relative to the total category sales. SalesproportionofProductABC=SalesofProductABCTotalRateofSaleofthecategorySales proportion of Product ABC = \frac{Sales of Product ABC}{Total Rate of Sale of the category} SalesproportionofProductABC=632products/month1053products/monthSales proportion of Product ABC = \frac{632 products/month}{1053 products/month}

Step 2: Calculate the number of facings for Product ABC by multiplying its sales proportion by the total number of facings for the category. FacingsforProductABC=SalesproportionofProductABC×TotalnumberoffacingsforthecategoryFacings for Product ABC = Sales proportion of Product ABC \times Total number of facings for the category FacingsforProductABC=6321053×350Facings for Product ABC = \frac{632}{1053} \times 350 FacingsforProductABC0.6001899×350Facings for Product ABC \approx 0.6001899 \times 350 FacingsforProductABC210.066Facings for Product ABC \approx 210.066

Since the number of facings must be a whole number, we round to the nearest integer. FacingsforProductABC=210Facings 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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Quick Answer

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.

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

This mathematics problem involves applying core mathematical principles and formulas. Below you will find a complete step-by-step solution with detailed explanations for each step, helping you understand not just the answer but the method behind it.

ScanSolve AI Answer
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. Step 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 Sales proportion of Product ABC = 632 products/month1053 products/month Step 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 Facings for Product ABC = (632)/(1053) × 350 Facings for Product ABC ≈ 0.6001899 × 350 Facings for Product ABC ≈ 210.066 Since the number of facings must be a whole number, we round to the nearest integer. Facings for Product ABC = 210 Comparing this to the given options, 210 is one of the choices. The correct answer is: 210 3 done, 2 left today. You're making progress.