The inverse market demand curve for gascolators is P = 2,000 – 4Q, where Q is the quantity of gascolators and P is the price per gascolator. Banner and Sense produce gascolators at a constant marginal cost of $80. If Banner charges a price of $100 and Sense charges $101, Sense's quantity sold is .

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.

As you have noticed, the demand for flip phones has drastically reduced, and there are only a few consumer electronics companies selling them at extremely low prices. also, the current buyers of flip phones are mainly categorized under laggards. which of the following stages of the industry life cycle is the flip phone industry in currently? a. growth stage b. maturity stage c. decline stage d. commercialization stage

Suppose that a major city’s main thoroughfare, which is also an interstate highway, will be completely closed to traffic for two years, from january 2014 to december 2015, for reconstruction at a cost of $535 million. if the construction company were to keep the highway open for traffic during construction, the highway reconstruction project would take much longer and be more expensive. suppose that construction would take four years if the highway were kept open, at a total cost of $800 million. the state department of transportation had to make its decision in 2014, one year before the start of construction (so that the first payment was one year away). so the department of transportation had the following choices: (i) close the highway during construction, at an annual cost of $267.5 million per year for two years. (ii) keep the highway open during construction, at an annual cost of $200 million per year for four years. now suppose the interest rate is 80%. calculate the present value of the costs incurred under each plan.