A small town with one hospital has 4 ambulances to supply ambulance service. Requests for ambulances during nonholiday weekends average 0.68 per hour and tend to be Poisson-distributed. Travel and assistance time averages 2.40 hours per call and follows an exponential distribution Use Table 1.

a. Find system utilization. (Round your answer to the nearest whole percent. Omit the "%" sign in your response.)

System utilization             %

b. Find the average number of customers waiting. (Round your answer to 3 decimal places.)

Average number of customers            

c. Find the average time customers wait for an ambulance. (Round your answer to 3 decimal places.)

Average time             hour

d. Find the probability that all ambulances will be busy when a call comes in. (Round intermediate calculations to 3 decimal places and final answer to 2 decimal places.)

Probability  

Alrex company is using an activity-based costing (ABC) system. The company produces and sells two products: Basic and Pro. The company consists of two departments: Production (where all manufacturing activities are taken) and Marketing (which engages in selling and admin activity only). The ABC system includes in unit product costs all costs easily associated with units. In addition, in the ABC system, there are four major indirect activities: Machine Setups, Special Processing, Factory Supervision, and Customer Relation.

The prices, direct material cost (DM), shipping cost and direct labor-hours (DLHs) are given below for one unit of the product, as well as the total units produced and sold.

The company collected the data for ABC as follows:

The company has two major customers (A and B), who buy their products in the amounts in the table below.

How much is the ABC customer margin of customer B? (Choose the closest amount.)

You have been assigned to a development team that is building software that will be used to control the operations of a bicycle rental store. A rental store has a limited number of vehicles that can be managed. A bicycle rental store must maintain information about how many vehicles are available for rental. The bicycle rental store must provide publicly available methods to allow vehicles to be added and removed from it. The rental store should also provide publicly available methods that reports its capacity. An attempt to add or remove the vehicle other than it’s capacity should print the message letting user know that he/she can’t add or delete the vehicle (Hint: use “if” condition to check the number of vehicles. They shouldn’t be more that 5/5 each to add and less than 1 to delete). At the moment there are two distinct types of vehicles: bicycle and quadricycle (four-wheel bicycle). Every vehicle has a company code, a fun name, number of wheels and a rental price. The bicycle has two wheels whereas quadricycle has four. Define the Java classes that are required to implement the functionality that is described above. Be sure to use object-oriented principles in your Java code. Hints • Vehicle class, Bicycle class, Quadricycle class, RentalStore class. • Bicycle class and Quadricycle class inherits extends from Vehicle class • RentalStore class will have methods to show the total number of vehicles, add/delete Bicycle and add/delete Quadricycle • Rental class should have ArrayList • In general every class should have attributes, constructor and it’s methods. • Besides RentalStore class, all other classes should have toString() method . • Create TestClass that have Main() method. Bicycles: company code 0001, a fun name ( your choice), number of wheels : 2 and a rental price 150 company code 0002, a fun name ( your choice), number of wheels : 2 and a rental price 110 company code 0003, a fun name ( your choice), number of wheels : 2 and a rental price 50 company code 0004, a fun name ( your choice), number of wheels : 2 and a rental price 250 company code 0005, a fun name ( your choice), number of wheels : 2 and a rental price 90 quadricycle : company code 0011, a fun name ( your choice), number of wheels : 4 and a rental price 250 company code 0012, a fun name ( your choice), number of wheels : 4 and a rental price 110 company code 0013, a fun name ( your choice), number of wheels : 4 and a rental price 210 company code 0014, a fun name ( your choice), number of wheels : 4 and a rental price 210 company code 0015, a fun name ( your choice), number of wheels : 4 and a rental price 190 For this scenario, we will have 5 bicycles and 5 quadricycles (total of 10 vehicles). Add all those vehicles to an ArrayList. Find bicycles with price less than $100 and delete all of them. Find quadricycles with price less than $200 and delete all of them. At last, show to total number of remaining vehicles with their details.

In a survey of its customers, a local tire shop found that 52% of its customers are satisfied with its services and 47% are not. The sample size was 250.

A.) What percentage of customers do you believe are satisfied with this service? USe 95% confidence interval.

B.) Use 99% confidence interval and interpret your results. What would you suggestion be to the manager?

Customers enter the camera department of a store with an average of 14 minutes between customers.

The department is staffed by one employee, who can handle an average of 13 customers per hour.

Assume this is a simple Poisson arrival, exponentially distributed service time situation.

Find the following information to help the manager decide if a second employee should be added:

The average number of customers waiting. Please keep 4 decimals.

The average time a customer waits (in minutes). Please keep 4 decimals.

The average time a customer is in the department (in minutes). Please keep 4 decimals.

Customers enter the camera department of a store with an average of 14 minutes between customers.

The department is staffed by one employee, who can handle an average of 13 customers per hour.

Assume this is a simple Poisson arrival, exponentially distributed service time situation.

Find the following information to help the manager decide if a second employee should be added:

The average number of customers waiting. Please keep 4 decimals.

The average time a customer waits (in minutes). Please keep 4 decimals.

The average time a customer is in the department (in minutes). Please keep 4 decimals.

A restaurant has three types of customers. A third of its customers, Type A, are willing to spend $5 on an appetizer but only $2 on a dessert. Another third, Type B, are willing to spend $3.50 on an appetizer and $3.50 on a dessert. The remaining third, Type C, are willing to spend only $2 on an appetizer but $5 on a dessert. All three types are willing to spend $10 on the main course. It costs the restaurant a constant $2 to prepare an appetizer or a dessert, and $7 to prepare the main course.

Which is optimal for the restaurant, to offer appetizers and desserts with separate prices on the menu, or to offer them only as a complete meal, tied in with the main course?

4. The proportion of customers who are completely satisfied in a recent satisfaction

survey of 300 customers at XYC Inc. is found to be 0.26. (6 points)

1. Test the hypothesis that the population proportion of customers who are completely satisfied is greater than 0.22 using the critical value approach and a 0.05 level of significance.
2. Test the hypothesis that the population proportion of customers who are

completely satisfied is less than 0.30 using the p-value approach and a

0.05 level of significance.

3. Test the hypothesis that the population proportion of customers who are completely satisfied is different from 0.24 using the p-value approach and a 0.05 level of significance.