Growth Model EconomyNearly all of the problems below refer to this Growth Model Economy.A small amount and a large amount of capital is referred to in these problems.The value for the small amount is8,100 units and the large amount is 81,000,000

Consider an economy where there are 2,235 agents, each of them having one unit of available time to labor. There is no government. There is a representative firm that has a Cobb-Douglas production technology that creates output (or income) following the form of Y = zK^aN^1-a. The depreciation rate is 5.2%, the population of agents grows at 2.3% and the capital share of income is given as (a=0.377). This economy saves 34.4% of its income and total factor productivity is 6.8.

Answer this problem, True.

Suppose the Growth Model Economy above has a small amount of capital. (Small is defined above.) What is the level of capital per agent next period?