Math Problem Statement

  1. Market equilibrium and disequilibrium The following graph shows the monthly demand and supply curves in the market for kettles. Use the graph input tool to help you answer the following questions. You will not be graded on any changes you make to this graph. Note: Once you enter a value in a white field, the graph and any corresponding amounts in each grey field will change accordingly. 0 50 100 150 200 250 300 350 400 450 500 80 72 64 56 48 40 32 24 16 8 0 PRICE (Dollars per kettle) QUANTITY (Kettles) Demand Supply Graph Input Tool Market for Kettles

Price (Dollars per kettle) 32

Quantity Demanded (Kettles) 300

Quantity Supplied (Kettles) 125 The equilibrium price in this market is $ per kettle, and the equilibrium quantity is kettles per month. Complete the following table by indicating at each price whether there is a shortage or surplus in the market, the amount of that shortage or surplus, and whether this places upward or downward pressure on prices. Price Shortage or Surplus Shortage or Surplus Amount Pressure (Dollars per kettle) (Kettles) 48

32

Solution

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Math Problem Analysis

Mathematical Concepts

Market Equilibrium
Supply and Demand
Shortage and Surplus
Pressure on Prices

Formulas

Quantity Demanded = Quantity Supplied
Shortage = Quantity Demanded - Quantity Supplied
Surplus = Quantity Supplied - Quantity Demanded

Theorems

Law of Supply and Demand
Market Equilibrium Theory

Suitable Grade Level

Grades 10-12