Use the appropriate command on a graphing utility to find the daily production level (to the nearest integer) at which the average cost per player is a minimum. What is the minimum average cost (to the nearest cent)?

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?

Four students are at an extracurricular activity fair at their high school and are trying to decide which clubs to join. some information about the students is listed in this chart: which describes which ctso each student should join?

Mr. drucker uses a periodic review system to manage the inventory in his dry goods store. he likes to maintain 15 sacks of sugar on his shelves based on the annual demand figure of 225 sacks. it costs $2 to place an order for sugar and costs $1 to hold a sack in inventory for a year. mr. drucker checks inventory one day and notes that he is down to 9 sacks; how much should he order?