Miles is three years old and his grandparents have given him money to spend at the toy store as a birthday present. Miles' number one favorite thing to play with is building blocks. Assume that Miles' utility will increase by 100 units if he purchases a new set of building blocks and and it will cost him $50. His second favorite thing to play with is fire trucks. Fire trucks cost $20 and each new fire truck improves Miles' utility by 80 units. His third favorite toy is trains. Trains improve his utility by 15 units and cost $5 each. Required:
a. If Miles buys only one toy, which should he buy to maximize his utility?
b. In general, which condition below indicates that a consumer is maximizing his or her utility regarding spending on two goods?

Consider the following scenarios. use what you have learned to decide if the goods and services being provided are individual, public, or merit goods. for each case, state what kind of good has been described and explain your answer using the definitions of individual, public, and merit goods. (6 points each) 1. from your window, you can see a city block that's on fire. you watch city firefighters rescue people and battle the flames to save the buildings. 2. while visiting relatives, you learn that your cousins attend a nearby elementary school that is supported financially by local property tax revenue. 3. you see a squadron of military jets flying overhead. 4. you find out that your aunt works for a defense manufacturing company that has several defense contracts with the government. she tells you that she works for a team that is producing a communications satellite. 5. your class visits a local jail run by a private, profit-making company that detains county criminals and is paid with tax revenue.

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.

Considered to be a "super tool" or tool that has high use and high potential for improving project success?