A city park has become a popular hotspot for food truck vendors, offering a variety of cuisines to passersby. The food trucks offer free meals to homeless groups, but university students often exploit this charity by waiting there. Both groups gain a payoff of 10 units for receiving a free meal. For homeless individuals, the cost of waiting in line is calculated as t²/320. Similarly, for college students, the cost of waiting is also t²/160. Here's the challenge: the food truck vendors cannot differentiate between homeless individuals and college students just by looking at them. This means they cannot know whether someone in line genuinely needs the free meal due to their homeless status or is a college student trying to score a complimentary meal. 1. What is the minimum wait time t to separate types? 2. After a while, the food truck vendors find they can successfully identify and turn away student students half the time. Students who are turned away receive no free meal and incur a cost of 5 for their time and embarrassment. Will the partial identification of university students reduce or increase the answer in part (a)? Explain.

A new vaccine offers protection against otitis media. Administering the vaccine to 10,000,000 children under age 5 would reduce otitis media cases from 14,000,000 to 11,000,000. The vaccine costs $100 per patient. What is the cost per case avoided? Round your answer to the nearest unit. Enter a numeric value as a non-numeric value will be converted to 0 thus potentially making your answer wrong. Do not enter a comma or any other sign for the same reason. I

Juanita is deciding whether to buy a skirt that she wants, as well as where to buy it. Three stores carry the same skirt, but it is more convenient for Juanita to get to some stores than others. For example, she can go to her local store, located 15 minutes away from where she works, and pay a marked-up price of $102 for the skirt:        Store Travel Time Each Way Price of a Skirt (Minutes) (Dollars per skirt) Local Department Store 15 102 Across Town 30 85 Neighboring City 60 76   Juanita makes $42 an hour at work. She has to take time off work to purchase her skirt, so each hour away from work costs her $42 in lost income. Assume that returning to work takes Juanita the same amount of time as getting to a store and that it takes her 30 minutes to shop. As you answer the following questions, ignore the cost of gasoline and depreciation of her car when traveling.

PROBLEM #3 An auto parts manufacturer uses a production process for one of its parts that has a long- run production function as follows: q=20K²L, where L measures the number of labor hours and K measures the number of rental hours for the machine used in the production process. The machine can be rented for $90 per hour; the hourly wage for workers is $15. The manufacturer has a production budget of $23,220 for this type of part. If the manufacturer's goal is to maximize output, subject to the production budget, find the output-maximizing levels of capital and labor the manufacturer will choose.

One study presented in the text calculated the cost per life-year saved for various medical interventions. For each of the scenarios that follow, determine whether the scenario represents diminishing marginal product of medical care. If it does, determine whether the diminishing marginal product is on the extensive or intensive margin. Please completely explain your answer to each scenario. a) Intervention: Pap Smear, Starting at the Age of 20, Continuing to 74. Every 3 years, compared to not screening: Cost per life year saved = $36,017 Every 2 years, compared to every 3 years: Cost per life year saved = $711,671 b) Intervention: Hypertension Screening 40-year-old males: Cost per life year saved: $41,279 40-year-old females: Cost per life year saved: $63,333