Question 1
Solex Ghana Ltd produces the Solex fruit juice. The firm’s supply function can be specified as ππ = 120 + 12π − 3π + 10πΈ and the estimated market demand for the juice is ππ = 210 −
π₯π₯ππ π₯
8π +4π −10π +0.02πΌ+0.1π΄. π₯π¦π§
Where:
ππ and ππ the quantities supplied and demanded of Solex fruit juice respectively,
Px is the price of Solex fruit juice,
Pi is the cost per unit of the input used in producing Solex fruit juice and
Py and Pz are the prices of good Y and Z which are related goods to Solex fruit juice Ep is the supplier’s expectation about future prices.
I represent income and
A represent amount of advertisement spent on Solex fruit juice
Suppose input cost is GHβ΅ 100 per unit, supplier’s expectation about future price is GHβ΅ 20, the unit price of both goods Y and Z is GHβ΅ 10 and the company spends GHs 500 on advertisement with consumer’s income being GHs 1000.
a) Derive new equations for quantity demanded and quantity supplied as a function of only
π₯π₯
the price of Solex fruit juice.
b) Determine the equilibrium price and quantity for Solex fruit juice.
c) Sketch your results under (b)
d) Compute appropriate value(s) to determine the type of goods Y and Z are to Solex fruit
juice.
e) Compute an appropriate value and explain whether Solex fruit juice is a normal or inferior
product.
Question 1
Solex Ghana Ltd produces the Solex fruit juice. The firm’s supply function can be specified as ππ = 120 + 12π − 3π + 10πΈ and the estimated market demand for the juice is ππ = 210 −
π₯π₯ππ π₯
8π +4π −10π +0.02πΌ+0.1π΄. π₯π¦π§
Where:
ππ and ππ the quantities supplied and demanded of Solex fruit juice respectively,
Px is the price of Solex fruit juice,
Pi is the cost per unit of the input used in producing Solex fruit juice and
Py and Pz are the prices of good Y and Z which are related goods to Solex fruit juice Ep is the supplier’s expectation about future prices.
I represent income and
A represent amount of advertisement spent on Solex fruit juice
Suppose input cost is GHβ΅ 100 per unit, supplier’s expectation about future price is GHβ΅ 20, the unit price of both goods Y and Z is GHβ΅ 10 and the company spends GHs 500 on advertisement with consumer’s income being GHs 1000.
a) Derive new equations for quantity demanded and quantity supplied as a function of only
π₯π₯
the price of Solex fruit juice.
b) Determine the equilibrium price and quantity for Solex fruit juice.
c) Sketch your results under (b)
d) Compute appropriate value(s) to determine the type of goods Y and Z are to Solex fruit
juice.
e) Compute an appropriate value and explain whether Solex fruit juice is a normal or inferior
product.
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