Answer:
a. 2560 checkouts
b. 3072 checkouts
c. Old system = 3.85 checkouts per dollar
New system = 5.56 checkouts per dollar
Explanation:
Provided:
Checkout lanes = 4
a.
What was the total number of checkouts provided by the old system during a shift?
Lanes = 2
Operating time = 16 hours --- Convert to seconds
Time = 16 * 3600 = 57600 seconds
Checkout speed = 1 every 45 seconds
The total number of checkouts is determined as follows:
2 lanes * 57600 seconds * 1 checkout / 45 seconds
Total checkouts = 2560 checkouts
b.
How many checkouts does the new system yield?
Lanes = 4
Operating time = 16 hours --- Convert to minutes
Time = 16 * 60 = 960 minutes
The total number of checkouts is calculated as:
4 lanes * 960 minutes * 1 checkout / 1.25 minutes
Total checkouts = 3072 checkouts
c.
Provided
Electricity costs for both systems are $0.06 per checkout
Bagging (materials) costs are $0.12 per checkout with the old system
Bagging (materials) costs are $0.20 per checkout with the new system
The cost for the old system is calculated as:
$0.06 * 2560 + $0.12 * 2560
= $153.6 + $307.2
= $460.3
Multifactor = 2560 checkouts/$460.3
Multifactor = 5.56 checkouts/$
The cost for the new system is calculated as:
0.06 * $3072 + 0.20 * $3072
= $184.32 + $614.4
= $798.72
Multifactor = 3072 checkouts/$798.72
Multifactor = 3.85 checkouts/$
