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The souvenir sheets are designed and printed for the postal service by a stamp agency service company
The souvenir sheets are designed and printed for the postal service by a stamp agency service company. The souvenir sheets cost the postal service $1.15 each. The company has been selling these souvenir sheets for $10.00 each and ordinarily sells about 61,000 units. To test the market, the postal service recently priced a new souvenir sheet at $11.00 and sales dropped to 51,000 units. (Show step by step)
1. Estimate the price elasticity of demand for the souvenir sheets, and
2. Estimate the profit-maximizing price for the souvenir sheets.
Expert Solution
The answers to both the given sub-questions are explained below:
1. Price elasticity of demand for the souvenir sheets
Here, the percentage change in the selling price per unit of souvenir sheet
= (New selling price per unit - old selling price per unit) / old selling price per unit
= ($11 - $10) / $10
= +10% (increase)
Also, percentage change in quantity demanded
= (New sales in units - old sales in units) / old sales in units
= ($51,000 - $61,000) / $61,000
= -16.39% (decrease)
Now, price elasticity of demand
= percentage change in quantity demanded / percentage change in the selling price per unit
= -16.39% / +10%
= -1.64
2. Profit-maximizing price for the souvenir sheets
= Marginal cost per unit x price elasticity of demand / (price elasticity of demand +1)
= $1.15 x -1.64 / (-1.64 + 1)
= $2.95
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