In 2012, the campbell soup company acquired bolthouse farms for $1.55 billion. this acquisition increased the level of vertical integration in campbell, as bolthouse farms owned and operated extensive farming operations where it produced many food items used in campbell's products. suppose that the value of produce provided by these farms after the acquisition would be $80 million per year for campbell and that, in addition, campbell could save $20 million per year in costs it would otherwise spend in searching for and negotiating over equivalent produce. however, the transaction cost of the acquisition (lawyers' fees, re-locating some production facilities, paying severance to unnecessary employees, etc.) required a one-time payment of $30 million. assume that campbell receives the produce related benefits in perpetuity. if the interest rate used to discount future earnings is 5%, what is the present value of net benefits to campbell? the present value (pv) of net benefits to campbell is

Consider how health insurance affects the quantity of health care services performed. suppose that the typical medical procedure has a cost of $160, yet a person with health insurance pays only $40 out of pocket. her insurance company pays the remaining $120. (the insurance company recoups the $120 through premiums, but the premium a person pays does not depend on how many procedures that person chooses to undergo.) consider the following demand curve in the market for medical care. use the black point (plus symbol) to indicate the quantity of procedures demanded if each procedure has a price of $160. then use the grey point (star symbol) to indicate the quantity of procedures demanded if each procedure has a price of $40. q d at p=$160 q d at p=$40 0 10 20 30 40 50 60 70 80 90 100 200 180 160 140 120 100 80 60 40 20 0 price of medical procedures quantity of medical procedures demand if the cost of each procedure to society is truly $160, the quantity that maximizes total surplus is procedures. economists often blame the health insurance system for excessive use of medical care. given your analysis, the use of care might be viewed as excessive because consumers get procedures whose value is than the cost of producing them.

How does the plaintiff, mrs. wood, try to implicate the gun manufacturer ( who testifies, what do they say, what evidence is introduced)?

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.