Table 1 shows the Consumption, Savings and Tax schedule for a series of gross income.

Table 1: Consumption, Savings and Tax

Gross Income (Y)	Consumption (C)	Savings (S)	Tax (T)
0	100	-100	0
500	(a)	142.50	25
1000	665	(b)	50
(c)	1,330	570	100
4,000	(d)	(e)	200

a)Given that, both Consumption and Saving function are linear functions with a constant intercept and slope, find the values of (a), (b), (c), (d) and (e) in Table 1 below. You are required to show your workings.

b.)Based on Table 1, derive the Savings Function

c) Based on Table 1, derive the Consumption Function