Marci spends 15 hours researching and writing a 20-page report for her philosophy class. jack brags that he has a "streamlined process" for performing the researching and writing. jack takes just 8 hours to research and write the paper, but his report is only 15 pages long. a. the output the input is marci's productivity nothing. jack's productivity this is productivity. b. what are the limitations of using productivity measures to evaluate marci's and jack's performance?
a. the productivity measures increase proportionally to time needed for research.
b. the productivity measure should be greater than 1.
c. the quality of the work is not assessed.
d. time needed for the research is not given.

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?

An allergy products superstore buys 6000 of their most popular model of air filters each year. the price of the air filters is $18. the cost of ordering and receiving shipments is $12 per order. accounting estimates annual carrying costs are 20% of the price. the supplier lead time is 2 days. the store operates 240 days per year. each order is received from the supplier in a single delivery. there are no quantity discounts. what is the store’s minimum total annual cost of placing orders & carrying inventory?

Industrial engineers who specialize in ergonomics are concerned with designing workspace and devices operated by workers so as to achieve high productivity and comfort. a paper published in this research area reports on a study of preferred height for an experimental keyboard with large forearm-wrist support. a sample of 31 trained typists resulted in an average preferred height of 80.0 cm