Question 3 Shoprite is a busy center for residents in East Legon and its surrounding community. Assume that 2 customers arrive every 12 minutes and 3 customers are served every 15 minutes and that currently, there is only one cashier. (i).Determine the average waiting time in minutes before service begins. (ii). Advice the management the proportion of the time that a customer has to wait. (B). Management perceives that the waiting time computed in (ii) above is not acceptable and is faced with two options. Management can either employ an assistant for the cashier or open a second cash machine. The former, if implemented, will enable 4 requests to be served every 15 minutes and the assistant will receive a monthly salary of GH₵160. The latter, if implemented will improve the arrival rate to 1 customer every 12 minutes. However, it requires an initial capital outlay of GH₵3000 and the cashier who will operate the cash machine will receive a monthly salary of GH₵250. The shop avoids a loss in sales of GH₵80 per month for each minutes that average customer waiting time is reduced. (i). Calculate the financial gain to Shoprite under option 1 and advice management on the option. (ii). Calculate the financial gain to Shoprite under option 2, assum
Unitary Method
The word “unitary” comes from the word “unit”, which means a single and complete entity. In this method, we find the value of a unit product from the given number of products, and then we solve for the other number of products.
Speed, Time, and Distance
Imagine you and 3 of your friends are planning to go to the playground at 6 in the evening. Your house is one mile away from the playground and one of your friends named Jim must start at 5 pm to reach the playground by walk. The other two friends are 3 miles away.
Profit and Loss
The amount earned or lost on the sale of one or more items is referred to as the profit or loss on that item.
Units and Measurements
Measurements and comparisons are the foundation of science and engineering. We, therefore, need rules that tell us how things are measured and compared. For these measurements and comparisons, we perform certain experiments, and we will need the experiments to set up the devices.
Question 3
- Shoprite is a busy center for residents in East Legon and its surrounding community. Assume that 2 customers arrive every 12 minutes and 3 customers are served every 15 minutes and that currently, there is only one cashier.
(i).Determine the average waiting time in minutes before service begins.
(ii). Advice the management the proportion of the time that a customer has to wait.
(B). Management perceives that the waiting time computed in (ii) above is not acceptable and is faced with two options.
Management can either employ an assistant for the cashier or open a second cash machine.
The former, if implemented, will enable 4 requests to be served every 15 minutes and the assistant will receive a monthly salary of GH₵160. The latter, if implemented will improve the arrival rate to 1 customer every 12 minutes.
However, it requires an initial capital outlay of GH₵3000 and the cashier who will operate the cash machine will receive a monthly salary of GH₵250. The shop avoids a loss in sales of GH₵80 per month for each minutes that average customer waiting time is reduced.
(i). Calculate the financial gain to Shoprite under option 1 and advice management on the option.
(ii). Calculate the financial gain to Shoprite under option 2, assuming the initial capital outlay is sunk cost and advice management on this option.
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