Problem: X carpeting is the leasing manufacturer of stain-resistant carpeting. Demand for X products is tied to the overall pace of building and remodeling activity and, therefore, is sensitive to changes in national ncome. The carpet manufacturing industry is highly competitive, so X 's demand is also very price-sensitive.
During the past year, Xsold 28 million square yards(units) of carpeting at an average wholesale price of $16 per unit. This year, GNP per capita is expected to fall from $19,000 to $17,000 as the nation enters a steep recession. Without any price change, X expects current-year sales to fall to 20 million units.
Required:
1. Caculate the implied arc income elasticity of demand.
2. Given the projected fall in income, the sales manager believes that current volume of 28 million units could only be maintained with a price cut of $2 per unit. on this basis, caculate the implied arc price elasticity of demand.
3. Holding all elas equal, would a further increase in price result in higher or lower total revenue?