urban economics question

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Adam and his friends Brigit , Cheryl , David , Emily , Frank, Gail , Henry, Ivan , and Juliet have two choices forweekend activities . They can either go to the local park or get together in Adam’s hot tub . The local parkisn’t much fun , which means that the benefits from being there are low on the friends’ common utilityscale . In fact , each of the friends receives a benefit equal to 3 " utils" from being at the park . This benefitdoesn’t depend on how many of the friends go to the park . Adam’s hot tub , on the other hand , can be fun ,but the benefits of using it depend on how many of the friends are present . When the tub isn’t toocrowded , it’s quite enjoyable . When lots of people show up , however , the tub is decidedly less pleasant .The relationship between benefit per person ( measured in utils ) and the number of people in the hot tub( denoted T) isAB = 2 + & T – TZ, where AB denotes " average benefit "!a) Using the above formula , compute AB for T = 1, 2, 3. 8, 9, 10. Next compute total benefit from USE Ofthe hot tub for the above T values as well as T = O. Total benefit is just T times AB. Finally , compute*marginal benefit ( MB ) , which equals the change in total benefit from adding a person to the hot tub . To dothis , adopt the following convention :`define MB at T = T’ to be the change in total benefit when T changes from T’ – 1 to T’ ( in other words , MBgives the change in total benefits from entry of the " last " person ) . Deviation from this convention will leadto inappropriate answers . For example , computation of MB using calculus will lead you astray given thatwe’re dealing with a discrete rather than continuous problem .60) Recalling that the park yields 3 utils in benefits to each person , find the equilibrium size of the groupusing the hot tub . Show that ( aside from the owner Adam ) we can’t be sure of the identities of the otherhot tub users . ( Hint : In contrast to the freeway case , the relevant benefit number won’t exactly equal 3 atthe equilibrium , with a similar outcome occurring in the other Cases considered below! ![ ) Find the optimal size of the hot tub group , and give an explanation of why it differs from the equilibriumsize . Next compute the grand total of benefits for all the friends , which is the sum of total benefits for thehot tub group and total benefits for those using the park . Perform this computation for both theequilibrium and the optimal group sizes . What do your results show ?

Write a 8 page essay on Exercise psychology.

Exercise has been reported to reduce one’s feeling of depression and anxiety, as well as upgrading one’s cognitive skill and self appreciation. Any form of conscious activity requires utilizing both the mind and the body, much more if it’s a physical activity like exercising, be it a light or rigorous one. Exercise speeds up circulation of the blood, providing the brain with oxygen that aids in its function. According to Dr. Zeischegg, inadequate supply of oxygen to the brain can lead to poor concentration, mood swings, depressive thoughts, among others. Exercise likewise keeps the mind busy, allowing the person to veer away from whatever negative feelings he or she may be having at that point. It is imperative to add, however, that just like any other activity, exercise has to be done in moderation. Inexperience and lack of valuable information regarding chosen exercise may lead to adverse side effects and/or physical damage, thus, defying its purpose of psychological enhancement. It is also imperative to stress the acknowledgment that depression is not a one-day sickness that goes away after sleeping on it. An excruciating experience or event generally causes depression. This experience or event may have happened overnight but this does not follow that getting over it will happen just as fast. Realizing this fact generally helps the patient realize that overcoming depression needs to be gradual, not forced.

Several activities have been considered with reference to enhancing psychological well-being of a person. Frequently considered are running, walking, cycling, and swimming. Since the only given facts in the case study I chose were gender, age, and physical health, I will assume that any of the above-mentioned exercises may be apt for him.

Running. “Running actually has the ability to alter an individual’s moods because hormones called endorphins are released while running”,