In practice, either mad or mse would be employed to compute forecast errors. what factors might lead a manager to choose one rather than the other? either one might already be in use, familiar to users, and have past values for comparison. if are used, mse would be natural; if are used, mad would be more natural.

What is product differentiation, and how can it be achieved ? what is product positioning? what conditions would head to head product positioning be appropriate?

Upscale hotels in the united states recently cut their prices by 20 percent in an effort to bolster dwindling occupancy rates among business travelers. a survey performed by a major research organization indicated that businesses are wary of current economic conditions and are now resorting to electronic media, such as the internet and the telephone, to transact business. assume a company's budget permits it to spend $5,000 per month on either business travel or electronic media to transact business. graphically illustrate how a 20 percent decline in the price of business travel would impact this company's budget set if the price of business travel was initially $1,000 per trip and the price of electronic media was $500 per hour. suppose that, after the price of business travel drops, the company issues a report indicating that its marginal rate of substitution between electronic media and business travel is 1. is the company allocating resources efficiently? explain.

Describe three scenarios in which you might utilize mathematics to investigate a crime scene, accident scene, or to make decisions involving police practice. be sure to explain how math is used in police as they work through each scenario.