1. The production function above expresses output as a function of capital and labor (workers). Derive a function that expresses output per worker as a function of capital per worker (i. e. find yt = f(kt)). 2. Write down the capital accumulation equation in terms of capital per worker (i. e. an equation with only kt+1, kt , δ, and s. 3. Solve for the steady state level of capital per worker as a function of δ and s. 4. Solve for the steady state level of output per worker as a function of δ and s. 5. What is the steady state growth rate of output per worker? 6. What is the steady state growth rate of output?

Let's consider a hypothetical airline, mudlarks airlines. on one of its flights, precious records show that about 15% of people who had tickets for the flights did not take the flight. there are 120 seats on the plane. 1. how many tickets should mudlarks airlines sell for this flight? 2. as an added consideration, suppose that tickets on this flight cost a flat rate of $250. in addition, mudlarks airlines must give any traveler who purchased a seat for the flight, but who cannot travel due to overbooking, a $400 certificate for their trouble. does this change your answer in question one? now, suppose that mudlarks airlines forms a partnership itch another airline, puffin air. their agreement allocates 100 seats on the flight to mudlarks airlines and another 20 seats to puffin air. the 2 airlines sell tickets for the flight independently of each other. 3. assuming the same 15% no show percent for each airline, how many tickets should each sell?