The typical college freshman spends an average of μ = 150 minutes per day with a standard deviation of σ = 50 minutes on social media. the distribution of time on social media is known to be normal. the proportion of students spending at least 2 hours on social media equals:

Bear, inc. estimates its sales at 200,000 units in the first quarter and that sales will increase by 20,000 units each quarter over the year. they have, and desire, a 25% ending inventory of finished goods. each unit sells for $35. 40% of the sales are for cash. 70% of the credit customers pay within the quarter. the remainder is received in the quarter following sale. cash collections for the third quarter are budgeted at

Neveready flashlights inc. needs $317,000 to take a cash discount of 3/15, net 70. a banker will loan the money for 55 days at an interest cost of $13,200. a. what is the effective rate on the bank loan? (use a 360-day year. do not round intermediate calculations. input your answer as a percent rounded to 2 decimal places.) b. how much would it cost (in percentage terms) if the firm did not take the cash discount but paid the bill in 70 days instead of 15 days? (use a 360-day year. do not round intermediate calculations. input your answer as a percent rounded to 2 decimal places.) c. should the firm borrow the money to take the discount? no yes d. if the banker requires a 20 percent compensating balance, how much must the firm borrow to end up with the $317,000? e-1. what would be the effective interest rate in part d if the interest charge for 55 days were $7,200?

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?