The historical returns for the past three years for stock b and the stock market portfolio were stock b: 24 percent, 0 percent, 24 percent; market portfolio: 10 percent, 12 percent, 20 percent. calculate the observed covariance of returns between stock b and the market portfolio. (ignore the correction for the loss of a degree of freedom set out in the text.)

One investigating company tracked all credit card purchase during 2012 and measured two variables: (1) the type of credit card used (visa, mastercard, american express, or discover), and (2) the amount (in dollars) of each purchase. identify the level of each variable measured.

Companies in the u.s. car rental market vary greatly in terms of the size of the fleet, the number of locations, and annual revenue. in 2011 hertz had 320,000 cars in service and annual revenue of approximately $4.2 billion. the following data show the number of cars in service (1000s) and the annual revenue ($ millions) for six smaller car rental companies (auto rental news website, august 7, 2012). excel file: data14-09.xls if required, enter negative values as negative numbers. a. select a scatter diagram with the number of cars in service as the independent variable. b. what does the scatter diagram developed in part (a) indicate about the relationship between the two variables? c. use the least squares method to develop the estimated regression equation (to 3 decimals). ŷ = + x d. for every additional car placed in service, estimate how much annual revenue will change. by $ e. fox rent a car has 11,000 cars in service. use the estimated regression equation developed in part (c) to predict annual revenue for fox rent a car. round your answer to nearest whole value. $ million hide feedback partially correct

Cadbury has a chocolate factory in dunedin, new zealand. for easter, it makes two kinds of “easter eggs”: milk chocolate and dark chocolate. it cycles between producing milk and dark chocolate eggs. the table below provides data on these two products. demand (lbs per hour) milk: 500 dark: 200 switchover time (minutes) milk: 60 dark: 30 production rate per hour milk: 800 dark: 800 for example, it takes 30 minutes to switch production from milk to dark chocolate. demand for milk chocolate is higher (500lbs per hour versus 200 lbs per hour), but the line produces them at the same rate (when operating): 800 lbs per hour. a : suppose cadbury produces 2,334lbs milk chocolate and 1,652 lbs of dark chocolate in each cycle. what would be the maximum inventory (lbs) of milk chocolate? b : how many lbs of milk and dark chocolate should be produced with each cycle so as to satisfy demand while minimizing inventory?