Wednesday, August 28, 2024

Demand and Supply problems Solving

 Here are 10 problems with answers on Demand and Supply:


*Problem 1:*


A company produces widgets at a cost of $10 per unit. If the market demand is 1000 units at a price of $15 per unit, what is the equilibrium price and quantity?


*Answer:*


Equilibrium price = $15 per unit

Equilibrium quantity = 1000 units


*Problem 2:*


A consumer is willing to pay $20 for a product, but the market price is $18. What is the consumer surplus?


*Answer:*


Consumer surplus = $20 - $18 = $2


*Problem 3:*


A company supplies 500 units of a product at a price of $12 per unit. If the market demand is 700 units at that price, what is the shortage?


*Answer:*


Shortage = 700 - 500 = 200 units


*Problem 4:*


A consumer's demand curve is given by P = 50 - 2Q. What is the consumer's willingness to pay for the 10th unit?


*Answer:*


P = 50 - 2(10) = $30


*Problem 5:*


A company's supply curve is given by P = 2Q + 10. What is the company's marginal cost?


*Answer:*


Marginal cost = 2


*Problem 6:*


If the demand curve is P = 100 - 2Q and the supply curve is P = 2Q + 20, what is the equilibrium price and quantity?


*Answer:*


Equilibrium price = $40

Equilibrium quantity = 30 units


*Problem 7:*


A consumer's income increases by 20%, leading to an increase in demand for a product. What is the income elasticity of demand?


*Answer:*


Income elasticity of demand = 1 (assuming unitary elasticity)


*Problem 8:*


A company produces two products, X and Y, with costs of $5 and $10 per unit respectively. If the demand curves are P = 50 - 2Q for X and P = 100 - 3Q for Y, what are the equilibrium prices and quantities?


*Answer:*


Equilibrium price for X = $20

Equilibrium quantity for X = 15 units

Equilibrium price for Y = $70

Equilibrium quantity for Y = 10 units


*Problem 9:*


A government imposes a tax of $2 per unit on a product. If the original equilibrium price was $10, what is the new equilibrium price?


*Answer:*


New equilibrium price = $12


*Problem 10:*


A company's demand curve is given by P = 200 - 5Q. If the company wants to increase revenue by 10%, what should be the new price?


*Answer:*


New price = $180


Let me kno

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