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Q.The market demand curve for a commodity and the total cost for a monopoly firm producing the commodity is given by the schedule below. Use the information to calculate the following

a) The MR and MC schedules
b) The quantity for which the MR and MC are equal
c) The equilibrium quantity of output and equilibrium price of the commodity
d) The total revenue, Total Cost, and Total profit in equilibrium
Karnataka PUCKarnataka 2nd PUC Commerce Board 2020Subjective· 6mImportance★★★★★
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Solve a monopoly numerical by building MR and MC schedules, equating MR = MC to get equilibrium output and price, then computing TR, TC and profit — the data table was missing from this stem, so only the method is shown.

The question supplies a schedule of the market demand curve (price at each quantity) and the total cost at each quantity for a monopoly firm. The schedule itself was not included with this stem, so exact numbers cannot be filled in without fabricating data (which is not permitted). The correct step-by-step procedure is:

a) MR and MC schedules

  • Total Revenue at each output: TR=Price×QuantityTR = Price \times Quantity.
  • Marginal Revenue: MR=ΔTR/ΔQMR = \Delta TR / \Delta Q (change in TR when output rises by one unit).
  • Marginal Cost: MC=ΔTC/ΔQMC = \Delta TC / \Delta Q (change in TC when output rises by one unit).

b) Quantity where MR = MC

  • Compare the MR and MC columns row by row; the output level at which MR equals MC (or MR is just above MC before falling below it) is the profit-maximising quantity.

c) Equilibrium quantity and price

  • The equilibrium quantity is the MR = MC output found in (b). …

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