Willow Brook National Bank operates a drive-up teller window that allows customers to complete bank transactions without getting out of their cars. On weekday mornings, arrivals to the drive-up teller window occur at random, with an arrival rate of 24 customers per hour or 0.4 customers per minute. In the same bank waiting line system, assume that the service times for the drive-up teller follow an exponential probability distribution with a service rate of 36 customers per hour, or 0.6 customers per minute. Determine the following operating characteristics for the system:

1. The probability that no customers are in the system. If required, round your answer to four decimal places.
   
   P₀ = ??
   
2. The average number of customers waiting. If required, round your answer to four decimal places.
   
   L_q = ??
   
3. The average number of customers in the system. If required, round your answer to nearest whole number.
   
   L = ??
   
4. The average time a customer spends waiting. If required, round your answer to four decimal places.
   
   W_q = ?? min
   
5. The average time a customer spends in the system. If required, round your answer to nearest whole number.
   
   W = ??min
   
6. The probability that arriving customers will have to wait for service. If required, round your answer to four decimal places.
   
   P_w = ??

Using C++

There are number of cable company in southern California which offer number of services

for customers. This company have two types of customers:

Residential and business. There are two rates for calculating a cable bill: one for Residential customers and one for business customers.

For residential customers the following rates apply:

• Bill processing Fee $4.50
• Basic service fee $20.50
• Premium channels $7.50 per channel

For business customers the following rates apply:

• Bill processing fee $15.0
• Basic service fee $75.0 for the first 10 connections, $5.00 for additional connections.
• Premium channels: $ 50.00 per channel for any number of connections.

Input:

The customer’s account number,

Customer code

Number of premium channels

And in case of business customers, number of basic service connections

What to deliver (output) Customers’ account number and the billing amount

Run your program for the given data:

Enter customer code: R or r (Residential) or B or b (Business) B

Enter number of service connections 16

Enter number of premium channels 8

Display total billing amount:

Run for residential customers:

R

Test your program for 12 premium channels.

flow chart, pseudo code are required for every projects and activities.

A -year study conducted by the American Heart Association provided data on how age, blood pressure, and smoking relate to the risk of strokes. Data from a portion of this study follow. Risk is interpreted as the probability (times 100) that a person will have a stroke over the next 10-year period. For the smoker variable, 1 indicates a smoker and 0 indicates a nonsmoker.

a. Develop an estimated regression equation that can be used to predict the risk of stroke given the age and blood pressure level. Enter negative value as negative number. Use Table 4 in Appendix B.

b. Consider adding two independent variables to the model developed in part (a), one for the interaction between age and blood pressure level and the other for whether the person is a smoker. Develop an estimated regression equation using these four independent variables. Enter negative value as negative number. Use Table 4 in Appendix B.

c. At a  level of significance, test to see whether the addition of the interaction term and the smoker variable contribute significantly to the estimated regression equation developed in part (a). Use Table 4 in Appendix B.

What is the value of the F test statistic?

(to 2 decimals)

P-value is - Select your answer -lower than 0.01between 0.01 and 0.025between 0.025 and 0.05between 0.05 and 0.10greater than 0.10Item 36 , so the addition of the two independent variables - Select your answer -is not is 37 statistically significant.

Case Study: PackCo

PackCo is an Australian-listed company that manufactures packaging products. PackCo services customers that are mainly food and beverage producers. The company currently operates in Australia, New Zealand and USA, and employs more than 6,000 staff. With its head office in Melbourne, Victoria, PackCo is listed on the Australian Stock Exchange and operates a number of production facilities in Australia, mainly in Victoria and South Australia. Since its inception, the company has grown steadily with revenues reaching almost USD $4 billion in 2016. The company has also acquired a number of other businesses to support its business growth.

PackCo sells its products and services to both local and overseas customers, and is reliant on third party logistics (3PLs) for transportation and forwarding companies to move its products. A newly appointed Supply Chain Optimisation Manager, Aras, has been tasked to oversee transportation and freight optimisation within PackCo. His responsibilities include conducting RFPs (requests for proposals) for the selection of carriers, and also implementing S&OP and CPFR projects to ensure that demand planning within the category is cost efficient and service effective.

Despite the implementation of an ERP system, management and replenishment of inventory to the right location has been a challenge.

Aras, in his first weeks of this job in overseeing one of the business groups within PackCo, recognised that due to forecast inaccuracies, it would be a big challenge to get the transport planning right. Despite the implementation of an ERP system, due to master data inaccuracies, management and replenishment of inventory to the right location has been a challenge. This has led to the demand planners in his team resorting to using spreadsheets to communicate demand requirements to the providers. Also, the lack of accurate data has resulted in higher inventories and accumulation of aged and obsolete stock.

Aras realised that his supply chain team has constantly exceeded its logistics budget to provide outstanding service levels for customers. Due to lack of clear sales strategy, expedited delivery or special production runs for low-order customers have further reduced the profit margins. For example, one of PackCo’s biggest accounts, Healthy Foods, spends only $2 million a year and, yet the logistics costs incurred servicing this client as a percent of revenue is over 25%.

Aras, prior to his first quarterly C-level management meeting, asked his team to run some analysis for the customer base and its use of 3PL provider services. The results were astonishing:

36.1% of the customer base accounts for 73% of the company’s operating profits.

24.9% of the customer base accounts for approximately USD246 million in losses.

the average DIFOT (deliver in-full and on-time) rate is 99.6% for the customer base.

the average logistics costs as a per cent of revenue across the customers is 16.3%.

there is no long-term contract with any 3PLs. Contracts tend to be 'arms-length' and negotiated with the 3PLs on ad-hoc basis.

68.2% of the outbound deliveries tend to be LTL (less-than-truckload).

special production runs lead to overtime wastage of more than USD $46 million in the last financial year.

Question:

Students are required to prepare a one-page executive summary (no more than 500 words) that describes the problem(s) identified from the case company and to prescribe recommendations to overcome the problems and take following elements in consideration.

1) Identification of key issues and their practical ramifications.

2) Rich recommendations (or recommended solutions).

3) Logical and coherent argument to support recommendations, substantiated, where appropriate, by credible, tested practices and/or well established academic paradigms or perspectives.

4) Indication of limitations or plausible pitfalls arising from implementation of recommendations.

Capwell Corporation uses a periodic inventory system. The company's ending inventory on December 31, 2018, its fiscal-year end, based on a physical count, was determined to be $338,000. Capwell's unadjusted trial balance also showed the following account balances: Purchases, $740,000; Accounts payable; $270,000; Accounts receivable, $285,000; Sales revenue, $920,000.

The internal audit department discovered the following items:

Goods valued at $44,000 held on consignment from Dix Company were included in the physical count but not recorded as a purchase.

Purchases from Xavier Corporation were incorrectly recorded at $64,000 instead of the correct amount of $46,000. The correct amount was included in the ending inventory.

Goods that cost $37,000 were shipped from a vendor on December 28, 2018, terms f.o.b. destination. The merchandise arrived on January 3, 2019. The purchase and related accounts payable were recorded in 2018.

One inventory item was incorrectly included in ending inventory as 220 units, instead of the correct amount of 1,600 units. This item cost $50 per unit.

The 2017 balance sheet reported inventory of $472,000. The internal auditors discovered that a mathematical error caused this inventory to be understated by $74,000. This amount is considered to be material. Comparative financial statements will be issued.

Goods shipped to a customer f.o.b. destination on December 25, 2018, were received by the customer on January 4, 2019. The sales price was $52,000 and the merchandise cost $28,000. The sale and corresponding accounts receivable were recorded in 2018.

Goods shipped from a vendor f.o.b. shipping point on December 27, 2018, were received on January 3, 2019. The merchandise cost $30,000. The purchase was not recorded until 2019.

Required:
1. Determine the correct amounts for 2018 ending inventory, purchases, accounts payable, accounts receivable, and sales revenue.
2. Calculate cost of goods sold for 2018.
3. What was the effect of the error in ending inventory on 2017 before-tax income

Determine the correct amounts for 2018 ending inventory, purchases, accounts payable, accounts receivable, sales revenue, and cost of goods sold.

What was the effect of the error in ending inventory on 2017 before-tax income?

Currently, the term structure is as follows: One-year bonds yield 8.25%, two-year zero-coupon bonds yield 9.25%, three-year and longer maturity zero-coupon bonds all yield 10.25%. You are choosing between one, two, and three-year maturity bonds all paying annual coupons of 9.25%. You strongly believe that at year-end the yield curve will be flat at 10.25%.

a. Calculate the one year total rate of return for the three bonds.

b. Which bond would you buy?

Logistic Management

Learning Outcomes:

Develop a framework for analyzing the logistics function of the firm (Question 1 and 2)

Make decisions related to managing the logistics effort of the firm. (Question 3)

Case Study

NADHEEFCO is a company manufacturing cleaning products serving the grocery retailing market in Europ. NADHEEFCO currently segments its customers based on customer accounts values. The primary division is between national accounts, for which ten accounts constitute 70 per cent of sales by value, and field sales, which comprise a long ‘tail’ of more than 200 accounts that together make up only 30 per cent of sales. Due to the size of the field sales structure, a secondary classification groups accounts by channel type:

Neighbourhood retail, discount and pharmacy. NADHEEFCO recognizes the need to reduce the long customer ‘tail’ and is introducing distributors for orders below a minimum quantity. NADHEEFCO’s current approach to segmentation is summarized in the following Table

Table 1: segmentation approach-current

While Nadheefco currently segments its retail customers by account size, its sales organisation has identified two significant types of buying behaviour displayed by the customer base:

● volume-driven buying behaviour;

● margin-driven buying behaviour.

Volume-driven customers are keen to capitalise on both product and supply chain cost savings in order to pass them on to their customers to drive volume sales. There are two variants of the volume-driven behaviour:

● everyday low price (EDLP);

● discount.

Retailers pursuing an EDLP strategy strive for continuous price reduction from suppliers such as Nadheefco to drive a fairly consistent, high volume of sales. This should result in a relatively stable pattern of demand in the washing and bathing sector. Discounters, on the other hand, are looking for bargains. Because they are aimed to sell products with very low prices compared to the market, which is a strategy more likely to result in a volatile demand pattern.

Margin-driven customers are keen to add value for their customers by offering a wide selection of products and value-adding services. This strategy also results in a relatively stable demand pattern in this sector.

A complicating factor when trying to deconstruct the buying behaviour of Nadheefco’s customers is that several secondary factors are used to support products in the marketplace.

Such factors include product types (e.g. premium, mid, utilitarian), product range (e.g. current products, end of lines, ‘b’ grade), merchandising requirements (e.g. category captains) and promotions strategy (e.g. roll-back, 12-week, 4-week, Hi-Lo). Promotions are by far the most disruptive of these factors. Although the promotions are generally planned well in advance with the retailers, they cause significant disruption to the supply chain operations due to the peaks and troughs in demand that they create.

Furthermore, the deeper the promotional activity the greater the volatility created and the greater the disruption to the supply chain. This has the effect of masking what is fundamentally a fairly stable demand pattern with somewhat artificial volatile demand.

Strategic alignment can only be achieved if the supply chain is aligned behind the segmentation strategy that Nadheefco has adopted. This is not currently the case with the Nadheefco supply chain. Each operation within the supply chain makes decisions or segments its customers based on the functional criteria that affect its part of the supply chain. We have called this lack of alignment ‘matrix twist’, because the matrix of business processes at each stage of the supply chain has been apparently twisted so that the processes fail to fit with each other. As illustrated in Table 2, the decision criteria for Nadheefco and its suppliers and customers change at each stage. This not only complicates material flows, but becomes a minefield if one considers it in terms of behavioral segments.

Management process Supply chain decision Determined by

Source Which supliers? Raw material commodity type

Make Which manufacturing site? product family type

Deliver Which manufacturing order size? Hostorically a function of warehouse?

in process of being dividedby export paperwork requirements and customer account (arbitrary split)

Which customer RDC? Product type and location of store to serve.

Ehich products to which store? Demographics of the stor's catchament area, which drives layout and range decisions.

Questions

What does this case illustrate and What is ‘matrix twist’? (Marks= 4)

Explain the causes of ‘matrix twist between Nadheefco and its retail customers? (Marks= 2)

What actions are needed to straighten out the ‘matrix twist’? (Marks= 2)

You are the foreman of the Bar-S cattle ranch in Colorado. A neighboring ranch has calves for sale, and you are going to buy some calves to add to the Bar-S herd. How much should a healthy calf weigh? Let x be the age of the calf (in weeks), and let y be the weight of the calf (in kilograms).

Complete parts (a) through (e), given Σx = 94, Σy = 622, Σx² = 2380, Σy² = 82,810, Σxy = 13,784, and r ≈ 0.990.

(a) Draw a scatter diagram displaying the data.

(b) Verify the given sums Σx, Σy, Σx², Σy², Σxy, and the value of the sample correlation coefficient r. (Round your value for r to three decimal places.)

(c) Find x, and y. Then find the equation of the least-squares line  = a + bx. (Round your answers for x and y to two decimal places. Round your answers for a and b to three decimal places.)

(d) Graph the least-squares line. Be sure to plot the point (x, y) as a point on the line.

(e) Find the value of the coefficient of determination r². What percentage of the variation in y can be explained by the corresponding variation in x and the least-squares line? What percentage is unexplained? (Round your answer for r² to three decimal places. Round your answers for the percentages to one decimal place.)

(f) The calves you want to buy are 24 weeks old. What does the least-squares line predict for a healthy weight? (Round your answer to two decimal places.)
kg

You are the foreman of the Bar-S cattle ranch in Colorado. A neighboring ranch has calves for sale, and you are going to buy some calves to add to the Bar-S herd. How much should a healthy calf weigh? Let x be the age of the calf (in weeks), and let y be the weight of the calf (in kilograms). x 1 3 10 16 26 36 y 46 51 74 100 150 200 Complete parts (a) through (e), given Σx = 92, Σy = 621, Σx2 = 2338, Σy2 = 82,693, Σxy = 13,639, and r ≈ 0.996. (a) Draw a scatter diagram displaying the data. (b) Verify the given sums Σx, Σy, Σx2, Σy2, Σxy, and the value of the sample correlation coefficient r. (Round your value for r to three decimal places.) Σx = Σy = Σx2 = Σy2 = Σxy = r = (c) Find x, and y. Then find the equation of the least-squares line y hat = a + bx. (Round your answers for x and y to two decimal places. Round your answers for a and b to three decimal places.) x = y = y hat = + x (d) Graph the least-squares line. Be sure to plot the point (x, y) as a point on the line. WebAssign Plot WebAssign Plot WebAssign Plot WebAssign Plot (e) Find the value of the coefficient of determination r2. What percentage of the variation in y can be explained by the corresponding variation in x and the least-squares line? What percentage is unexplained? (Round your answer for r2 to three decimal places. Round your answers for the percentages to one decimal place.) r2 = explained % unexplained % (f) The calves you want to buy are 12 weeks old. What does the least-squares line predict for a healthy weight? (Round your answer to two decimal places.) kg