Question

Partial Competitive Equilibrium 3. Suppose households consider diamonds (D) and emeralds (E) as substitutes. Let the supply ob. Assume that a new discovery of diamonds increases the quantity supplied to 200 units. How will this affect the equilibrium

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Answer #1

Use D = 200 and E = 200 in demand functions

Pd = 450 - 200 + 0.5Pe or Pd - 0.5Pe = 250

Pe = 300 - 200 + Pd or Pe - Pd = 100

Now we have Pd - 0.5Pe = 250 and Pe - Pd = 100

This becomes

Pe - (250 + 0.5Pe) = 100

0.5Pe = 350

Pe = 700 and so Pd = 600

Hence equilibrium prices are Pe = 700 and Pd = 600

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