In: Economics
22. Suppose there are 25firms in the wiffleball market, in which the market demand elasticity is -.8. The elasticity of supply is 1. A single firm in this industry is thinking of raising its price. Calculate the residual demand elasticity facing a single firm.
23. The price elasticity of demand for umbrellasin Drytown is -4, and in Wettown the elasticity is -2. A single firm supplies the umbrellas in both towns. If the marginal cost per umbrella is $6.00, how much should the firm charge for umbrellas in Drytown and in Wettown?
SHOW WORK
22. To calculate residual elasticity of a single firm, use the equation:
where is the number of firms
is the elasticity of demand
is the elasticity of supply
Substituting numbers in the equation:
= (25 * -0.8) - (25-1)*1
= -20 - 24
= -44
Hence, a typical firm faces the demand elasticity of -44.
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23. The price can be found out for both the towns using the following equation:
Where MC is the marginal cost
P is price
is demand elasticity
For Drytown:
Substituting numbers in the equation
Therefore, in Drytown a price of $8 per unit should be charged.
For Wettown:
Using the same formula and substituting values
Therefore, in Wettown $12 per unit should be charged.