Cary has the following utility function:
u(x, y)= 10x2y
where x is her consumption of blu-ray disks with a price of $40 and y is her consumption of dvds with a price of $5. she has $600 with which to spend on the two goods
determine the number of blu-ray disks and dvds that will maximize cary's utility
cary maximizes utility when she consumes
blu-ray disks and
dvds (enter your responses using integers)

Marketing1. suppose the average price for a new disposable cell phone is $20, and the total market potential for that product is $4 million. topco, inc. has a planned market share of 10 percent. how many phones does topco have the potential to sell in this market? 20,0002. use the data from question 3 to calculate topco, inc.'s planned market share in dollars. $400,0003. atlantic car rental charges $29.95 per day to rent a mid-size automobile. pacific car rental, atlantic's main competitor, just reduced prices on all its car rentals. in response, atlantic reduced its prices by 5 percent. now how much does it cost to rent a mid-size automobile from atlantic? $28.45

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?

Afirm’s production function is represented by q(m,r) = 4m 3/4r1/3, where q denotes output, m raw materials, and r robots. the firm is currently using 6 units of raw materials and 12 robots. according to the mrts, in order to maintain its output level the firm would need to give up 2 robots if it adds 9 units of raw materials. (a) true (b) false