Bill Fredlund, president of Lincoln Log Construction, is considering placing a bid on a building project. Bill has determined that five tasks would need to be performed to carry out the proj- ect. Using the PERT three-estimate approach, Bill has obtained the estimates in the next table for how long these tasks will take. Also shown are the precedence relationships for these tasks. There is a penalty of $500,000 if the project is not completed in 11 weeks. Therefore, Bill is very interested in how likely it is that his company could finish the project in time.

(a) Construct the project network for this project. T

(b) Find the estimate of the mean and variance of the duration

of each activity.

(c) Find the mean critical path. T

(d) Find the approximate probability of completing the project

within 11 weeks.

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?

conquest, inc. produces a special kind of light-weight, recreational vehicle that has a unique design. it allows the company to follow a cost-plus pricing strategy. it has $9,000,000 of average assets, and the desired profit is a 10% return on assets. assume all products produced are sold. additional data are as follows: sales volume 1000 units per year; variable costs $1000 per unit; fixed costs $4,000,000 per year; using the cost-plus pricing approach, what should be the sales price per unit?

Consider the following information on stocks a, b, c and their returns (in decimals) in each state: state prob. of state a b c boom 20% 0.27 0.22 0.16 good 45% 0.16 0.09 0.07 poor 25% 0.03 0 0.03 bust 10% -0.08 -0.04 -0.02 if your portfolio is invested 25% in a, 40% in b, and 35% in c, what is the standard deviation of the portfolio in percent? answer to two decimals, carry intermediate calcs. to at least four decimals.