Atheater is presenting a program on drinking and driving for students and their parents or other responsible adults. the proceeds will be donated to a local alcohol information center. admission is $ 10.00 for adults and $ 5.00 for students. however, this situation has two constraints: the theater can hold no more than 210 people and for every two adults, there must be at least one student. how many adults and students should attend to raise the maximum amount of money?

The sticky-price theory asserts that the output prices of some goods and services adjust slowly to changes in the price level. suppose firms announce the prices for their products in advance, based on an expected price level of 100 for the coming year. many of the firms sell their goods through catalogs and face high costs of reprinting if they change prices. the actual price level turns out to be 110. faced with high menu costs, the firms that rely on catalog sales choose not to adjust their prices. sales from catalogs will

Suppose general motors demands labor according to the labor demand function 푤푤= 40−0. 5퐸퐸, where 푤푤 is the hourly wage and 퐸퐸 is the number of employees. the united auto workers union has a utility function given by 푈푈=푊푊∗퐸퐸. a. in 1984, the united auto workers union started negotiations with general motors by assuming that they were a monopoly union. find the wage and employment demands that the united auto workers union would have demanded before any bargaining began. b. if general motors and the united auto workers union both had excellent bargaining representatives, would this be the final labor contract? if not, then explain in words and graphically where they would end up after the bargaining process.

In december of 2004, the company you own entered into a 20-year contract with a grain supplier for daily deliveries of grain to its hot dog bun manufacturing facility. the contract called for "10,000 pounds of grain" to be delivered to the facility at the price of $100,000 per day. until february 2017, the supplier provided processed grain which could easily be used in your manufacturing process. however, no longer wanting to absorb the cost of having the grain processed, the supplier began delivering whole grain. the supplier is arguing that the contract does not specify the type of grain that would be supplied and that it has not breached the contract. your company is arguing that the supplier has an onsite processing plant and processed grain was implicit to the terms of the contract. over the remaining term of the contract, reshipping and having the grain processed would cost your company approximately $10,000,000, opposed to a cost of around $1,000,000 to the supplier. after speaking with in-house counsel, it was estimated that litigation would cost the company several million dollars and last for years. weighing the costs of litigation, along with possible ambiguity in the contract, what are three options you could take to resolve the dispute? which would be the best option for your business and why?