A technical note on “Optimizing inventory decisions in a multi-stage multi-customer supply chain”

We first generalize Khouja [Khouja, M., 2003. Optimizing inventory decisions in a multi-stage multi-customer supply chain. Transportation Research Part E: Logistics and Transportation Review 39 (3), 193–208] integrated model considering the integer multipliers mechanism and next individually derive the optimal solution to the three- and four-stage model using the perfect squares method, which is a simple algebraic approach so that ordinary readers unfamiliar with differential calculus can understand the optimal solution procedure with ease. We subsequently deduce the optimal expressions for Khouja (2003) and Cárdenas-Barrón [Cárdenas-Barrón, L.E., 2007. Optimal inventory decisions in a multi-stage multi-customer supply chain: a note. Transportation Research Part E: Logistics and Transportation Review 43 (5), 647–654] model, and identify the associated errors in Khouja (2003). We present two numerical examples for illustrative purposes. We finally shed light on some future research by extending or modifying the generalized model.     

Impact of Auditor Report Changes on Financial Reporting Quality and Audit Costs: Evidence from the United Kingdom

While substantial revisions to auditor reporting requirements are being implemented internationally, the impact of these reforms on financial reporting quality is unknown. We exploit the United Kingdom's recent auditor reporting changes and find that the United Kingdom's new reporting regime is associated with an improvement in financial reporting quality as proxied by significant decreases in absolute abnormal accruals and the propensity to just meet or beat analyst forecasts, and a significant increase in earnings response coefficients. As for audit costs, we do not find a significant change in audit fees or audit delay surrounding the implementation of the new reporting regime. Taken together, the results of this study suggest that new auditor reporting requirements are associated with a significant improvement in financial reporting quality without detecting a significant increase in audit costs.     

On Choosing and Bounding Probability Metrics

When studying convergence of measures, an important issue is the choice of probability metric. We provide a summary and some new results concerning bounds among some important probability metrics/distances that are used by statisticians and probabilists. Knowledge of other metrics can provide a means of deriving bounds for another one in an applied problem. Considering other metrics can also provide alternate insights. We also give examples that show that rates of convergence can strongly depend on the metric chosen. Careful consideration is necessary when choosing a metric.     

The economic potential of precision nitrogen application with wheat based on plant sensing

Plant-based precision nitrogen fertilizer application technologies have been developed as a way to predict and precisely meet nitrogen needs. Equipment necessary for precision application of nitrogen, based on sensing of growing wheat plants in late winter, is available commercially, but adoption has been slow. This article determines the expected profit from using a plant-sensing system to determine winter wheat nitrogen requirements. We find that plant-sensing systems have the potential to be more profitable than traditional nonprecise systems, but the existing system simulated was roughly breakeven with a traditional system.     

Food price increases and net food importing countries: lessons from the recent past

Recent increases in food and other commodity prices have highlighted concerns that many poor countries are net food importers and higher food prices would worsen their trade balances. In this article, we analyze the changes in food trade balances associated with the 32% increase in food prices from 2000/2001 to 2004/2005. We find a small deterioration in food trade balances of low‐income countries and an improvement in middle‐income countries. The deterioration is most severe for countries in conflict and small island states, so attention should be placed first on these countries and on a few very‐low‐income countries that are also vulnerable. Because low‐income countries as a group had much lower agricultural GDP growth rates than middle‐income countries, the answers to food vulnerability in low‐income countries should probably be addressed within the context of incentives for agricultural production.     

Estimating the impact of farmer field schools in sub‐Saharan Africa: the case of cocoa

This study measures the economic impact of the first phase of the Cocoa Livelihood Program (CLP‐I), a current World Cocoa Foundation (WCF) project, sponsored by the Bill and Melinda Gates Foundation and aimed at improving the livelihood of over 200,000 small cocoa producers in sub‐Saharan Africa via training, crop diversification, and farmer‐based organizations. Using data collected from 2,048 pre‐ and post‐CLP‐I interviews of cocoa producers in Ghana, Cote d'Ivoire, Nigeria, and Cameroon, the results show that yield enhancements attributable to CLP‐I are 32%, 34%, 50%, and 62% in Ghana, Côte d'Ivoire, Nigeria, and Cameroon, respectively. Using a total program cost of $151–$200 per beneficiary and estimated annual benefits of $109–$322 per beneficiary over 25 years, the benefit‐cost ratios are estimated to range from $18 to $62 for every dollar spent on human capital development. These results suggest the WCF should endeavor to increase the number of farmers who receive all, not some, of the components of the program. This would not only help ensure that each producer obtains as much human capital as possible from each of the training programs but increases the probability of reaching the CLP goal of doubling the income of cocoa‐growing households.