YorMagnets and YorMugs are two companies selling merchandise to tourists visiting the city of York. YorMagnets sells fridge magnets and YorMugs sells mugs with images of popular attractions. Assume that YorMagnets is the only company producing magnets for York and YorMugs is the only company producing local mugs. The daily demand for magnets (until 2019) is given by       D1 = 50/9 – 200/9 P1 + 100/9 P2, where P1 is the price of magnets and P2 is the price of mugs. The daily demand for mugs (until 2019) is given by       D2 = 500/9 – 200/9 P2 + 100/9 P1. The marginal cost of producing magnets is £0.50 per magnet and the marginal cost of producing mugs is £2.00 per mug. Both firms simultaneously choose their quantities. You may assume that both firms aim to maximise profits. Are magnets and mugs (perfect) complements or (perfect) substitutes? Explain your answer. How would you characterise this market? Explain your answer.  Calculate the equilibrium price for both products and quantity for both firms.

Managerial Economics: Applications, Strategies and Tactics (MindTap Course List)
14th Edition
ISBN:9781305506381
Author:James R. McGuigan, R. Charles Moyer, Frederick H.deB. Harris
Publisher:James R. McGuigan, R. Charles Moyer, Frederick H.deB. Harris
Chapter2: Fundamental Economic Concepts
Section: Chapter Questions
Problem 1E: For each of the determinants of demand in Equation 2.1, identify an example illustrating the effect...
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YorMagnets and YorMugs are two companies selling merchandise to tourists visiting the city of York. YorMagnets sells fridge magnets and YorMugs sells mugs with images of popular attractions. Assume that YorMagnets is the only company producing magnets for York and YorMugs is the only company producing local mugs. The daily demand for magnets (until 2019) is given by

      D1 = 50/9 – 200/9 P1 + 100/9 P2,

where P1 is the price of magnets and P2 is the price of mugs. The daily demand for mugs (until 2019) is given by

      D2 = 500/9 – 200/9 P2 + 100/9 P1.

The marginal cost of producing magnets is £0.50 per magnet and the marginal cost of producing mugs is £2.00 per mug. Both firms simultaneously choose their quantities. You may assume that both firms aim to maximise profits.

  1. Are magnets and mugs (perfect) complements or (perfect) substitutes? Explain your answer.
  2. How would you characterise this market? Explain your answer. 
  3. Calculate the equilibrium price for both products and quantity for both firms.
  4. Calculate the total producer surplus and deadweight loss

 

Due to lockdowns and travel restrictions in 2020 and 2021, the number of tourists that visit York has significantly dropped.

Explain how a drop in tourists will have affected the demand curves. Also, explain the effect on the equilibrium price and quantity and the resulting producer surplus.

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