Answer these sufficiently

1. (MA(1) and AR(1) Models) (a) If the time-series yt follow the following MA(1) model, Ut = H + Oct-1 + Et, E~i.i.d(0, o?) find yo and show p2 = 0 (b) In contrast, if the time-series yt follow the following AR(1) model, yt = a + pyt-1+ et, E ~i.i.d(0,o2) find u(= E(yt) in term of a and ) and yo, and show p2 0Refer to the following table for the next five questions on schedule crashing. Activity Predecessor Normal Time Crash Time Normal Crash Cost Name Cost A B 8 6 $4,000 $6,000 B 5 3 $5,000 $9,000 C B 4 3 $8,000 $11,000 D A 5 4 $5,000 $7,000 m C 8 6 $8,000 $11,000 F D, E, G 1 1 $3,000 $3,000 G C 10 5 $12,000 $27,000 Question 46 (2 points) What is the approximate cost to complete the project under normal conditions? $45,000 $50,000Using the Real Intertemporal Model seen in class, suppose the government announces a de- crease in future government spending G". 1. How will you expect the decrease in G" to affect the N', N\. The firm operates a technology that uses capital, labor and public goods (as roads and other infrastructure) to produce. Total output is given by: Y = =G K