1. Explain, using the mathematical definition of equilibrium Y, Y_e, the role played by autonomous spending in determining the size of Y_e and changes in its size. Now, assume that there is a change in I_p of $100 and a change in G of $100, and that for every new dollar of income household saving rises by 25 cents; by how much will Y_e change, if at all? Your third task is to compare this effect on Y_e of the follow two other changes: A rise in G of $100 and a rise in Ta of $100 - is the effect the same as above? Why or why not? What if we had a rise in G of $100 but a fall in NX or $100 - would the change in Ye be the same? Why or why not?