See the individual demand in the table for Fred, Wilma, Barney, and Betty.

Price	$1	$2	$3	$4	$5	$6	$7	$8	$9
Fred	100	90	80	70	60	50	40	30	20
Wilma	50	47	44	41	38	35	32	29	26
Barney	72	69	66	63	60	57	55	51	48
Betty	150	100	75	55	40	30	25	23	22

a. Calculate the market demand. b. Calculate the price elasticity of demand for each person and for the market as a whole for a price change from $5 and $6. Categorize each as elastic, inelastic, or unit elastic. c. Consider the case where price is $5. Suppose that each person's income rises by 5% (measured using the midpoint method). As a result of this price increase Fred's quantity demanded rises to 70, Wilma's demand rises to 45, Barney's demand is unchanged, and Betty's demand falls to 34. Calculate income elasticity (at the market level) for this good. Explain whether it is a normal good or an inferior good and how you can tell.