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A base logistics officer needs to requisition 1,500 feet of paracord. Distributor A sells a 100-yard spool of paracord for 36.00.DistributorBsellsthesameparacordina50−footrollfor36.00. Distributor B sells the same paracord in a 50-foot roll for 5.50. If the officer purchases the entire 1,500 feet from the distributor with the lower overall cost, how much total money will be saved compared to purchasing from the more expensive distributor?

  1. A
    $163.50
  2. $15.00Cevap
  3. C
    $375.00
  4. D
    $1,455.00

Cevap

The total savings is $15.00 when purchasing from Distributor B instead of Distributor A.
The correct answer is found by equalizing the units and calculating the total cost required to obtain 1,500 feet from each distributor. Distributor A provides 300 feet (100 yards) per 36.00spool,so5spoolsareneeded,costing36.00 spool, so 5 spools are needed, costing 180.00. Distributor B provides 50 feet per 5.50roll,so30rollsareneeded,costing5.50 roll, so 30 rolls are needed, costing 165.00. The total savings is the difference: 180.00−180.00 - 165.00 = $15.00.

Adım Adım Çözüm

1
Calculate the total cost if buying from Distributor A.
100 yards × 3 feet/yard = 300 feet per spool. Number of spools needed = 1,500 feet ÷ 300 feet/spool = 5 spools. Total cost = 5 × 36.00=36.00 = 180.00.
Units must be consistent (feet) to compare or fulfill the 1,500-foot requirement accurately.
2
Calculate the total cost if buying from Distributor B.
Number of rolls needed = 1,500 feet ÷ 50 feet/roll = 30 rolls. Total cost = 30 × 5.50=5.50 = 165.00.
We must find the exact total cost for fulfilling the entire requisition of 1,500 feet with the second option.
3
Find the difference between the two total costs to determine savings.
180.00−180.00 - 165.00 = $15.00.
Subtracting the lower cost from the higher cost reveals the total amount saved.

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Comparing unit prices across different bulk packages by establishing a common metric or total purchasing cost.
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