Question

In: Economics

2) When the price of a certain product is $40, then 25 items can be sold....

2) When the price of a certain product is $40, then 25 items can be sold. When the price of the same product costs $20, then 185 items can be sold. On the other hand, when the price of this product is $40, then 200 items will be produced. But when the price of this product is $20, only 100 items will be produced.

a) Find the supply and demand functions for this product (assume for simplicity that the functions are linear).
b) Find the equilibrium price and quantity.
c) Compute the consumer and producer surplus at the equilibrium price.

Solutions

Expert Solution


Related Solutions

The function P(x)=−1.5x^2+ 900x−4500 gives the profit when x units of a certain product are sold....
The function P(x)=−1.5x^2+ 900x−4500 gives the profit when x units of a certain product are sold. Find a) the profit when 75 units are sold  dollars b) the average profit per unit when 75 units are sold dollars per unit c) the rate that profit is changing when exactly 75 units are sold dollars per unit d) the rate that profit changes on average when the number of units sold rises from 75 to 150. dollars per unit e) The number...
Retailers will buy 40 items from a wholesaler if the price is $175 and 60 items...
Retailers will buy 40 items from a wholesaler if the price is $175 and 60 items if the price is $150. The wholesaler is willing to supply 30 items if the price is $140 and 70 items if the price is $185. Assuming that the resulting supply and demand functions are linear, find the equilibrium point for the market. *please show all work*
The equilibrium price for a product is $58, and the quantity sold of the product is...
The equilibrium price for a product is $58, and the quantity sold of the product is 4060. The price elasticity of demand is -4.6, and the price elasticity of supply is 0.7. Find the demand curve and the supply curve for the product. (Your answer for the demand curve should be in the form Qd = a – bP, with specific numerical values given for a and b. Your answer for the supply curve should be in the form Qs...
The equilibrium price for a product is $32, and the quantity sold of the product is...
The equilibrium price for a product is $32, and the quantity sold of the product is 1280. The price elasticity of demand is -5.2, and the price elasticity of supply is 0.9. Find the demand curve and the supply curve for the product. (Your answer for the demand curve should be in the form Qd = a – bP, with specific numerical values given for a and b. Your answer for the supply curve should be in the form Qs...
The company has two machines that produce certain items. Machine 1 produces 40 % of the...
The company has two machines that produce certain items. Machine 1 produces 40 % of the the items, and machine 2 produces 60% of the items. Machine 1 produces 3% of defective items and machine 2 produces 5% of defective items. a. The probability that a randomly selected produced item is defective is _________ b. If a randomly selected item is found to be defective, probability that it is produced on machine 2 is___________
Garrett Company provided the following information: Product 1 Product 2 Units sold 10,000   20,000   Price $20  ...
Garrett Company provided the following information: Product 1 Product 2 Units sold 10,000   20,000   Price $20   $15   Variable cost per unit $10   $10   Direct fixed cost $35,000   $75,000   Common fixed cost totaled $46,000. Garrett allocates common fixed cost to Product 1 and Product 2 on the basis of sales. If Product 2 is dropped, which of the following is true? a.Sales will increase by $300,000. b.Overall operating income will increase by $2,600. c.Overall operating income will decrease by $25,000. d.Overall...
Problem 3 – Naked Put A put with the strike price of $40 was sold short...
Problem 3 – Naked Put A put with the strike price of $40 was sold short at $4.20 when the price of the underlying stock was $38.00 per share. Draw the gain/loss chart for the naked put.
The annual demand for a certain product sold in a department store is 1,000 units. Ordering...
The annual demand for a certain product sold in a department store is 1,000 units. Ordering cost per order is $50, holding rate is 40%, and unit cost is $200. The department store currently is ordering every two months, but now is offered the following quantity discount scheme: For an order of up to 99 units no discount. For an order up to 699 units-a discount of 25%, and for a larger order -a discount of 30%. What is the...
The annual demand for a certain product sold in a department store is 1,000 units. Ordering...
The annual demand for a certain product sold in a department store is 1,000 units. Ordering cost per order is $50, holding rate is 40%, and unit cost is $200. The department store currently is ordering every two months, but now is offered the following quantity discount scheme: For an order of up to 99 units no discount. For an order up to 699 units-a discount of 25%, and for a larger order -a discount of 30%. What is the...
A binding price floor exists when the price is not allowed to increase above a certain...
A binding price floor exists when the price is not allowed to increase above a certain level. True False Effective and binding price floors will NOT lead to a social surplus "dead-weight-loss." True False Inferior goods are negatively correlated to changes in income, i.e., as income increases the demand for inferior goods decreases. True False A primary condition for "free market laissez-faire capitalism" to function is that the "individual" would have property rights and be able to choose their deployment...
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT