Exponential Decay Word Problem

 

A farmer discovers that his land has been targeted as a chemical dumping ground with a chemical that is dangerous for growing any crops. It is known that the chemical concentration decays according to exponential decay process. At the time of discovery, the concentration of the chemical was 17% of the original. One month later, the chemical content reduced to 10%.The police have two suspects, who were both in prison for 6 months each at different times for other offences, providing them with alibis (proof of innocence).

Suspect A served his 6-month sentence ending 6 months ago and Suspect B has been just releasedfrom prison 1 month ago.

(i) Use the exponential decay model to determine whether any of the suspects are innocent?

 

(ii) It is safe to start growing crops again when the chemical concentration reduces to 0.05%.

Calculate the farmers insurance compensation payout if he is insured for $10,000 per month or part thereof from the time of the crime.

 

Sample Solution

and impacts leading to non-compliance, the theory is very heavily individualistic and does not accurately explain collective discretion and its implications on the wider scope of policy legitimacy, democratic legitimacy, and policy change. Partly due to the rigid institutional design already in place that limits administrative capabilities, agents would tend to partake in ‘creative compliance’ to enable them to better and more strategically allocate and prioritize resources for the tasks the principal does not give enough attention to. Broadening the individualistic approach the PAT adopts, Rutz, Epstein & O’Halloran, Tummers & Bekkers, Hupe & Buffat, and Gofen discuss the implications of collective discretion on the overarching organization, and policy implications it may bring regarding policy legitimacy and policy change through democratic legitimacy in allowing for collective discretion. Where the PAT merely views divergence as an individual agent’s coping mechanism in facing the increasing pressures the job entails , the following section aims to increase macro-level contextual analyses on collective discretion.

With the increasing need for discretionary allowance and the importance of discretion in the principal-agent relationship, the PAT’s understanding of the policy implementation process does not discuss the broader debate about collective discretionary rooms and ‘discretionary floors’ within a typical agency. The PAT does not account for the degrees of discretion (and non-compliance) that vary across circumstance and sectors, where higher policy stakes often equates to a greater possibility and potential of ‘creative compliance’ – in the form of ‘discretion-as-perceived’ by the respected agents. Epstein & O’Halloran (1994) discuss the need for increased agent discretion, given information asymmetry and distant principal-agent relationship. Rutz

This question has been answered.

Get Answer
WeCreativez WhatsApp Support
Our customer support team is here to answer your questions. Ask us anything!
👋 Hi, Welcome to Compliant Papers.