1. A manufacturer estimates that D(p)=3000e 005P units of a particular good will be %3D sold at market price of p cedis per unit. Determine the market price that will result in marginal revenue of zero.

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1. A manufacturer estimates that D(p)=3000e0.05p units of a particular good will be
sold at market price of p cedis per unit. Determine the market price that will result in
marginal revenue of zero.
2. A manufacturer estimates that q = 800/30 – p units of a commodity are demanded
when
cedis
per
unit are charged.
a. Express the price elasticity of demand as function of p .
b. Calculate the price elasticity of demand when p=10. Interpret the result.
c. Find the price at which the price elasticity of demand is unit-elastic.
3. An auto maker estimates that when q units of its saloon cars are sold in a day, its
profit in millions of cedis is modelled as
P(q) =100+25In
20
Find the
2
number of cars that should be produced and sold to maximise profit.
Transcribed Image Text:1. A manufacturer estimates that D(p)=3000e0.05p units of a particular good will be sold at market price of p cedis per unit. Determine the market price that will result in marginal revenue of zero. 2. A manufacturer estimates that q = 800/30 – p units of a commodity are demanded when cedis per unit are charged. a. Express the price elasticity of demand as function of p . b. Calculate the price elasticity of demand when p=10. Interpret the result. c. Find the price at which the price elasticity of demand is unit-elastic. 3. An auto maker estimates that when q units of its saloon cars are sold in a day, its profit in millions of cedis is modelled as P(q) =100+25In 20 Find the 2 number of cars that should be produced and sold to maximise profit.
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