Question

A small batch coffee roaster determines that the price charged (in dollars) per pound of coffee...

A small batch coffee roaster determines that the price charged (in dollars) per pound of coffee is given by the demand equation p = 10/(q+1) + 16, where q is in hundreds. Assume their supply equation is given by p(q) = 4q + 2.

(a) Find the equilibrium price.

(b) Set up, but do not evaluate, an integral that represents producer surplus.

Homework Answers

Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
4. Currently the world price of coffee is $8 per pound and the world price of...
4. Currently the world price of coffee is $8 per pound and the world price of tea is $2 per pound. Vandelay is a small country with the following points on linear supply and demand schedules for the country.    Coffee                       Tea   Demand       Supply       Demand       Supply P   Q       P   Q       P   Q       P   Q   12   60       12   180       12   0       12   240 10   70       10  ...
Suppose the market demand for a commodity is given by the download sloping linear demand function:...
Suppose the market demand for a commodity is given by the download sloping linear demand function: P(Q) = 3000 - 6Q where P is a price and Q is quantity. Furthermore, suppose the market supply curve is given by the equation: P(Q) = 4Q a) Calculate the equilibrium price, quantity, consumer surplus and producer surplus. b) Given the equilibrium price calculated above (say's P*), suppose the government imposes a price floor given by P' > P*. Pick any such P'...
The market for bauxite is perfectly competitive. Market inverse demand is given by PD(Q)=500-Q, where price...
The market for bauxite is perfectly competitive. Market inverse demand is given by PD(Q)=500-Q, where price is measured in dollars per ton and Q is measured in million of tons. Market inverse supply of bauxite is PS(Q)=100+Q, where price is measured in dollars per ton and Q is measured in millions of tons. -Calculate the equilibrium price and quantity in this market. Represent your solution using a graph. -Calculate producer and consumer surplus. Identify consumer and producer surplus on a...
Suppose the weekly demand for a certain good in thousands of units, is given by the...
Suppose the weekly demand for a certain good in thousands of units, is given by the equation P = 35 - Q, and the weekly supply curve of the good by the equation P = 15 + Q where P is the price in dollars. Finally, suppose a per-unit tax of $6, to be collected from sellers is imposed in this market. Complete the following questions. Note: If necessary round your answers to two decimal places. a) Graph the weekly...
The demand for a product is given by p = d ( q ) = −...
The demand for a product is given by p = d ( q ) = − 0.8 q + 150 and the supply for the same product is given by p = s ( q ) = 5.2 q. For both functions, q is the quantity and p is the price in dollars. Suppose the price is set artificially at $70 (which is below the equilibrium price). a) Find the quantity supplied and the quantity demanded at this price. b)...
The demand curve of a perfectly competitive product is described by the equation:     P =...
The demand curve of a perfectly competitive product is described by the equation:     P = $1000 – Q    where Q = thousands The supply curve is given by     P = $100 + 2Q     where Q = thousands Graph the demand and supply curves; use a grid size of 100. Calculate the equilibrium price and quantity (carefully state the units).  Find the consumer surplus CS, the producer surplus PS, and the deadweight loss DWL, carefully stating the units.
For the following set of demand and supply, equations do the following, Find the equilibrium price...
For the following set of demand and supply, equations do the following, Find the equilibrium price and equilibrium quantity for each set of equations. Draw each set of equations in a clearly labeled graph and show the equilibrium P and Q. Calculate the consumer surplus at the equilibrium P and Q found in b. If the price were to increase, calculate the loss in the consumer surplus. Calculate the total new consumer surplus. If the price were to decrease, calculate...
Q13. The supply and demand in the market for canned beets are given by the following...
Q13. The supply and demand in the market for canned beets are given by the following functions:       QD = 25,500 – 500P       QS = 500 + 500P The equilibrium price and quantity in this market are a) Q* = 750 ; P* = $0.50 b) Q* = 25,250 ; P* = $0.50 c) Q* = 25,000; P* = $1 d) Q* = 13,500; P* = $26 e) Q* = 13,000 ; P* = $25 The market supply and...
1. Suppose that weekly demand for wheat in Australia is given by P = 1800 –...
1. Suppose that weekly demand for wheat in Australia is given by P = 1800 – 2Q, and supply is given by P = 4Q, where Q represents tonnes of wheat. The government has decided to impose a price ceiling of $800 per tonne. This suggests that _________ of _________ will result in this market. Following the price ceiling, producer surplus will _______ by_______. a. neither excess demand or excess supply, 0 tonnes, not increase or decrease, $0. b. excess...
The price per unit of a product is p dollars and the number of units of...
The price per unit of a product is p dollars and the number of units of the product is denoted by q. The supply function for a product is given by (20,000/q)+15, and the demand for the productis given by p=(120+q)/4. Is the supply function a linear function or a shifted reciprocal function? Is the demand function a shifted linear function or a shifted reciprocal function?