Jillian Harmon supervises 5 cashiers at Jack's Market. In the past, each cashier served an average of 25 customers per hour. Two months ago, management remodeled the store and installed a new cash register system. Customers no longer need to take their groceries out of the basket. Last month the number of customers served was 6,120 and each cashier worked an average of 170 hours for the month. Based on this information, the service rate has

Question

Quizplus · Accepted Answer

The previous service rate per cashier per hour was 25 customers. Therefore, the total service rate for all 5 cashiers was 125 customers per hour (25 x 5).

Last month, the average number of customers per hour per cashier increased as the new cash register system allowed customers to keep their groceries inside the basket.

To calculate the new service rate, we need to find the total number of customers served last month:

Number of customers served = Average customers per hour per cashier x Number of cashiers x number of hours worked

= 25 x 5 x 170

= 21,250

Therefore, the new service rate per hour per cashier was:

Service rate = Number of customers served / (Number of cashiers x number of hours worked)

= 21,250 / (5 x 170)

= 25

This means that the service rate per cashier per hour remained the same (25), but the total service rate for all 5 cashiers increased to 125 customers per hour x 25 = 3,125 customers per hour.

To find the percentage increase in service rate, we can use the following formula:

Percentage increase = (New value - Old value) / Old value x 100%

= (3,125 - 1,250) / 1,250 x 100%

= 150%

Therefore, the service rate has increased by 150% or 44% (rounded to the nearest whole number). The correct choice is C.

Jillian Harmon Supervises 5 Cashiers at Jack's Market