ABC,Inc., is a leading manufacturer to tufted carpeting under the Ironside brand. During the past year, Ironside sold 16 million square yards (units) of carpeting at average wholesale price of Rs.8.75 per unit. This year, disposable income per capita is expected to surge from Rs.26670 to Rs.29000 in a booming economic recovery. Without any price change, Ironside's marketing director expects current-year sales to rise to 25 million units. In an effort to reduce excess end-of-the-model-year inventory, ABC,Inc. offered a 3.5% discount off the average price of tufted carpeting under the Ironside brand sold during the month of August. Customer response was enthusiastic, with unit sales rising by 12% over the previous month's level in result of the price decrease.

a)Calculate the income arc elasticity of demand.

b)Calculate the point price elasticity of demand for tufted carpeting. (Hint: Use Q=12%)