"compute the takt time for a service system that intended to perform a standardized service. the system will have a total work time of 480 minutes per day, one 20-minute tea break, and an hour for lunch. the service system must process 80 jobs a day."

Suppose that each firm in a competitive industry has the following costs: total cost: tc=50+12q2tc=50+12q2 marginal cost: mc=qmc=q where qq is an individual firm's quantity produced. the market demand curve for this product is: demand qd=160−4pqd=160−4p where pp is the price and qq is the total quantity of the good. each firm's fixed cost is.

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?

In terms of the "great wheel of science", statistics are central to the research process (a) only between the hypothesis phase and the observation phase (b) only between the observation phase and the empirical generalization phase (c) only between the theory phase and the hypothesis phase (d) only between the empirical generalization phase and the theory phase