Kurt, Charles and Shania picked a total of 62 plums from a tree in the

school yard after school. Charles

took & plums, Kurt took 10 less than

Charles and Shania took twice as

many as Kurt.

A-Write an expression in

term of x to represent the

Choker hob/lums that

B-Write an expression in

term of x to represent the

number of plums that

Kurt took.

C-Write an expression in

term of x to represent the

number of plums that

Shania took.

D-Write an equation in term

of y to represent the total

number of plums that

they picked altogether.

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?