You will see that even though the accelerometer is not moving, the acceleration signal still changes a small amount. next you will drum on the breadboard with your hands to produce vibrations. do you expect the mean in both of these cases to be the same? which case do you expect to have a larger standard deviation? explain

Your mother's well-diversified portfolio has an expected return of 12.0% and a beta of 1.20. she is in the process of buying 100 shares of safety corp. at $10 a share and adding it to her portfolio. safety has an expected return of 15.0% and a beta of 2.00. the total value of your current portfolio is $9,000. what will the expected return and beta on the portfolio be after the purchase of the safety stock?

Suppose that two firms produce differentiated products and compete in prices. as in class, the two firms are located at two ends of a line one mile apart. consumers are evenly distributed along the line. the firms have identical marginal cost, $60. firm b produces a product with value $110 to consumers.firm a (located at 0 on the unit line) produces a higher quality product with value $120 to consumers. the cost of travel are directly related to the distance a consumer travels to purchase a good. if a consumerhas to travel a mile to purchase a good, the incur a cost of $20. if they have to travel x fraction of a mile, they incur a cost of $20x. (a) write down the expressions for how much a consumer at location d would value the products sold by firms a and b, if they set prices p_{a} and p_{b} ? (b) based on your expressions in (a), how much will be demanded from each firm if prices p_{a} and p_{b} are set? (c) what are the nash equilibrium prices?

Total marketing effort is a term used to describe the critical decision factors that affect demand: price, advertising, distribution, and product quality. define the variable x to represent total marketing effort. a typical model that is used to predict demand as a function of total marketing effort is based on the power function: d = axb suppose that a is a positive number. different model forms result from varying the constant b. sketch the graphs of this model for b = 0, b = 1, 0< b< 1, b< 0, and b> 1. (we encourage you to use excel to do this.) what does each model tell you about the relationship between demand and marketing effort? what assumptions are implied? are they reasonable? how would you go about selecting the appropriate model?