The owners of the company have raised $30 million of investment capital for these projects. They now want to select the combination of projects that will maximize their total estimated long-run pro t without investing more than $30 million. There are three other restrictions: 1) if both project 1 and project 3 are selected, then project 5 cannot be selected; 2) project 2 can only be selected if project 4 is selected; 3) if project 3 is selected, then at least one of project 1 or project 4 should be selected. Formulate this problem as a binary integer program. Write explicitly what the decision variables are, what the objective function is, and what the constraints are. Remark: In your solution, please underline the key elements like below, and write your answers in the corresponding places (can enlarge the spacing between the elements in your solution).

Peninsula products has just applied for a loan at your bank. when reviewing peninsula's books for the year that just ended, you notice that the firm uses the fair value option for its bonds payable. you also see that the firm recorded a $55,000 debit in its bonds payable account and a $55,000 credit in its unrealized holding gain or loss"income account. over that same period, interest rates decreased by about 0.5 percent. how should this information affect the bank's decision as to whether to grant peninsula a loan? a : the bank should strongly consider giving a loan to peninsula because the changes in firm's bonds payable and unrealized holding gain or loss"income accounts suggest that peninsula has seen an increase in its credit rating over the past year. b : the bank should put little emphasis on the changes in peninsula's bonds payable and unrealized holding gain or loss"income accounts because these changes are likely the result of the rise in interest rates. c : the bank should hesitate before giving a loan to peninsula because the changes in firm's bonds payable and unrealized holding gain or loss"income accounts suggest that peninsula has seen a decline in its credit rating over the past year. d : the bank should put little emphasis on the changes in peninsula's bonds payable and unrealized holding gain or loss"income accounts because these changes are likely unrelated to either interest rates or the firm's credit rating.

Problem 9-5. net present value and taxes [lo 1, 2] penguin productions is evaluating a film project. the president of penguin estimates that the film will cost $20,000,000 to produce. in its first year, the film is expected to generate $16,500,000 in net revenue, after which the film will be released to video. video is expected to generate $10,000,000 in net revenue in its first year, $2,500,000 in its second year, and $1,000,000 in its third year. for tax purposes, amortization of the cost of the film will be $12,000,000 in year 1 and $8,000,000 in year 2. the company’s tax rate is 35 percent, and the company requires a 12 percent rate of return on its films. required what is the net present value of the film project? to simplify, assume that all outlays to produce the film occur at time 0. should the company produce the film?

Responsible for setting the goals and planning for the future as well as leading and controlling the work of others. out the decisions of top management. often responsible for various departments such as the production, marketing, and accounting departments. process or function of planning organizing leading and controlling. the resources arranged in an orderly and functional way to accomplish goals and objectives. the company on track and making sure goals are met. for the daily operations of a business. examples of this are supervisors, office managers, and crew leaders. act or process of creating goals and objectives as well as the strategies to meet them. for the daily operations of a business. examples of this are supervisors, office managers, and crew leaders. how the firm is structured and who is in charge of whom. direction and vision