Macro Economics Essay

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Managerial Economics – BM (Term I - 2011) Problem Set 3B Problems on monopoly 1. An inventor has discovered a new method of producing semi-precious stones that could be produced from a composite mineral found in a particular plateau in Azerbaijan. The innovator purchased the plateau before anyone came to know about the innovation and the process is patented. There are only two markets for the stone. One is among the Zulu tribe of South Africa and the other is among the aborigines of Tahiti. The forecasted annual demand in South Africa is PZ = 1500 – 0.5QZ and that in Tahiti is PT = 1000 – QT. QZ is the quantity demanded in South Africa and QT in Tahiti. PZ and PT are respective prices. Prices are in dollars per ounce and quantities are in ounces. The annual cost of production and distribution is given as C = 100000 + 100Q + 0.5 Q2. Q is the quantity produced annually. Find the quantities sold in South Africa and Tahiti and the respective prices. 2. Suppose you own the only swimming pool in town. There are two types of swimmers in the town – serious and casual. The demand function for the serious swimmers is given by PS = 6 – 2 QS and that for the casuals is given by PC = 3 – 0.5 QC. Here quantities are hours of use per week and prices are in Rs. There are 200 serious swimmers and 700 casual swimmers. Your weekly maintenance cost is $ 100. There is no other cost. Formulate a pricing strategy in order to maximize your profit. 3. Monk Ferrari is the only “celebrity guru” who can meaningfully de-stress the distressed celebrities by providing them with his exclusive “life coaching” service. Ferrari hired you as his manager for his new program “Meaning of Life – from Plato to Paris Hilton”. The program is one time and he is going to hold four interactive evenings only in London. If someone subscribes for the program by buying a season ticket, s/he can attend all the

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