Suppose that the duopolists Max and Sam face an inverse demand function for apples of P = 100 - 30, where Q = QM + Qs is the total number of apples that reach the market and P is the price of apples. Suppose further that Max's cost function is CM(QM) = 4QM and Sam's cost function is Cs(Qs) = 16Qs. In the Cournot-Nash equilibrium, Sam's production is .

When interest is compounded continuously, the amount of money increases at a rate proportional to the amount s present at time t, that is, ds/dt = rs, where r is the annual rate of interest. (a) find the amount of money accrued at the end of 3 years when $4000 is deposited in a savings account drawing 5 3 4 % annual interest compounded continuously. (round your answer to the nearest cent.) $ (b) in how many years will the initial sum deposited have doubled? (round your answer to the nearest year.) years (c) use a calculator to compare the amount obtained in part (a) with the amount s = 4000 1 + 1 4 (0.0575) 3(4) that is accrued when interest is compounded quarterly. (round your answer to the nearest cent.) s = $

How does having a flexible mind you become a better employee? a. it you become more honest toward work. b. it you become a team player. c. it you learn new things that will better your performance. d. it you to finish your work on time. e. it you reach work on time

Eliza works for a consumer agency educating young people about advertisements. instead of teaching students to carefully read advertisement claims, she encourages them to develop a strong sense of self and to keep their life goals and dreams separate from commercial products. why might eliza's advice make sense?