A pharmacy has determined that a healthy person should receive 70 units of proteins, 100 units of carbohydrates and 20 units of fat daily. If the store carries the six types of health food with their ingredients as shown in the table below, what blend of foods satisfies the requirements at minimum cost to the pharmacy? Make a mathematical model for the given problem. Foods Protein units Carbohydrates units Fat units Cost per unit A 20 50 4 2 B 30 30 9 3 C 40 20 11 5 D 40 25 10 6 E 45 50 9 8 F 30 20 10 8

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?

The company is experiencing an increase in competition, and at the same time they are building more production facilities in southeast asia. in this scenario, the top management team is most likely to multiple choice increase the cost of their products. restructure to reflect a more bureaucratic, stable organization. pull decision-making responsibility from low-level management, taking it on themselves. give lower-level managers the authority to make decisions to benefit the firm. rid themselves of all buffering product.

Which example would the government consider as intellectual property? a. product design that contains a hologram of the logo of the company b. a copy of a famous artist’s painting in a new medium c. a plant species discovered in the united states for the first time d. a method of production that is common to an entire industry e. a discount structure offered to the customer at a store