Optimization in Daily Life: Think about your favorite activity, hobbies or any kind of activity from your daily life. Find a problem which can be modeled with optimization. Now, think about the formulation steps for this activity using optimization and answer the formulation step questions below. (Note that you do not need to write a mathematical model.) 1. What is the decision to make?
2. What is the objective criterion?
3. What are the constraints for the decision?

Aceramics manufacturer sold cups last year for $7.50 each. variable costs of manufacturing were $2.25 per unit. the company needed to sell 20,000 cups to break even. net income was $5,040. this year, the company expects the price per cup to be $9.00; variable manufacturing costs to increase 33.3%; and fixed costs to increase 10%. how many cups (rounded) does the company need to sell this year to break even?

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.

In a perfectly competitive market, the long-run market supply curve tends to be horizontal or nearly so. what is another way to state this fact? (a) market supply is much more elastic in the long run than the short run. (b) in the long run, average total cost is minimized. (c) in the long run, price equals marginal cost. (d) market supply is much less elastic in the long run than the short run.