A service station has both self-service and full-service islands. On each island, there is a single regular unleaded pump with two hoses. Let X denote the number of hoses being used on the self-service island at a particular time, and let Y denote the number of hoses on the full-service island in use at that time. The joint pmf of X and Y appears in the accompanying tabulation.

a. What is P(X=1 and Y=1)?

b. Given that two hoses are in use at the self-service island, what is the conditional pmf of the number of hoses in use on the full-service island? (Round your answers to four decimal places.)

Suppose the number of firms you compete with has recently increased. you estimated that as a result of the increased competition, the demand elasticity has increased from –2 to –3 (i.e., you face more elastic demand). you are currently charging $10 for your product. what is the price that you should charge if demand elasticity is -3?

Lillypad toys is a manufacturer of educational toys for children. six months ago, the company's research and development division came up with an idea for a unique touchscreen device that can be used to introduce children to a number of foreign languages. three months ago, the company produced a working prototype, and last month the company successfully launched its new device on the commercial market. what should lillypad's managers prepare for next? a. increased competition from imitators b. a prolonged period of uncontested success c. a sharp decline in demand for the product d. a difficult struggle to move from invention to innovation

Melissa buys an iphone for $240 and gets consumer surplus of $160. a. what is her willingness to pay? b. if she had bought the iphone on sale for $180, what would her consumer surplus have been?