Problem

Super-Mart has stores in four locations in State A. Super-Mart plans to reapportion its 26 managers based on the number of employees in each store as shown below. Find the standard divisor and each store's standard quota. \begin{tabular}{lccccc} Store & A & B & C & D & Total \\ Number of employees & 67 & 104 & 146 & 240 & 557 \end{tabular} a. What is the standard divisor? The standard divisor is $\square$. (Round to the nearest hundredth as needed.)

Solution

Step 1 :Super-Mart has stores in four locations in State A. Super-Mart plans to reapportion its 26 managers based on the number of employees in each store as shown below. Find the standard divisor and each store's standard quota.

Step 2 :\begin{tabular}{lccccc} Store & A & B & C & D & Total \\ Number of employees & 67 & 104 & 146 & 240 & 557 \end{tabular}

Step 3 :We are asked to find the standard divisor. The standard divisor is calculated by dividing the total number of managers by the total number of employees.

Step 4 :Given that the total number of managers is 26 and the total number of employees is 557, we can calculate the standard divisor as follows: \( \frac{26}{557} \)

Step 5 :Calculating the above expression gives a standard divisor of approximately 0.0466786355475763.

Step 6 :Rounding to the nearest hundredth as needed, we get a standard divisor of 0.05.

Step 7 :Final Answer: The standard divisor is \(\boxed{0.05}\).

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Source: https://solvelyapp.com/problems/pMhqcFSX05/

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