Can consumer buying motives overlap with each other? What formula can this nesting process take? Give examples?

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?

Winners of the georgia lotto drawing are given the choice of receiving the winning amount divided equally over 2121 years or as a lump-sum cash option amount. the cash option amount is determined by discounting the annual winning payment at 88% over 2121 years. this week the lottery is worth $1616 million to a single winner. what would the cash option payout be?

Each container is cut from the mould once the plastic has cooled and hardened. unit-level 2 patents are obtained for each new type of container mould. facility-level 3. plastic resins are used as the main direct material for the containers. product-level 4. a plant manager oversees the entire manufacturing operation. facility-level 5. the sales force incurs travel expenses to attend various trade shows throughout the country to market the containers. product-level 6. each container product line has a product line manager. product-level 7 the extrusion machine is calibrated for each batch of containers made. facility-level 8. each type of container has its own unique moulds. unit-level 9. routine maintenance is performed on the extrusion machines. facility-level 10. rent is paid for the building that houses the manufacturing processes. classify each activity as either unit-level, batch-level, product-level, or facility-level.