ECON 102 Lecture Notes - Lecture 2: Budget Constraint

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26 Sep 2016

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=> x2 = m/p2- p1/p2x1 vertical intercept slope budget set slope of budget line = - p1/p2. 2. ) another way to draw budget line (1) compute how many x1 the consumer can buy if she uses her entire income on good 1. Recall the rst way to draw the budget line x= m/p2 - p1/p2 x1 vertical intercept slope does not change increases old budget line. An increase in income results in a parallel shift outward of the budget line. Suppose that p1 increases while p2 & m stay same. Use the 2nd method to draw a budget line. X2 (max) = m/p2 stay same old budget line an increase in price of a good will result in making the slope of the budget line steeper. What happens if p1 and p2 change at the same time proportionally? (while m stays the same) P2 ---_ 2p2 (2p1)x1 + (2p2)x2 = m old budget line.

Related Questions

Use your knowledge about price-searching firms and two-part pricing to advise the company below. A company has a bar and is trying to decide on the cover charge (if any) and price for each drink. It has done a modest regression study in which it asked customers to classify themselves as light drinkers or heavy drinkers and to indicate the number of drinks they would typically consume during the evening. The estimate from the regression study is that a change in the price equal to $1 per drink causes light drinkers to change their consumption on average by 0.5 drinks per night. However, a change in the price of $1 causes heavy drinkers to change their consumption on average by 1.0 drinks per night. For both groups, a typical consumer will not consume anything once the price reaches $9 per drink. (They may instead go to another bar or not go to a bar at all.) Draw a demand curve for a typical light drinker and for a typical heavy drinker on the same diagram. Explain your diagram. Write equations for the curves in slope-intercept form.

If 300 people visit the bar on a typical evening, with 200 people being light drinkers and 100 people being heavy drinkers, draw an overall demand curve for all of the consumers combined. What is the slope and what is the intercept for this demand curve? Write an equation in slope-intercept form. If the marginal cost of making drinks (the alcohol, the bartender's labor, and the amortized cost of purchasing glasses and cleaning them repeatedly) is constant at $5 per drink, and if no cover charge is assessed, what is the best price to charge for drinks? How many drinks would be sold on a typical evening? What would your profits be? If you cut your price by $1 per drink and assess the maximum possible cover charge without causing a typical light drinker to refuse to enter the bar, would your profits improve? How high would the cover charge be? Calculate both the cover charge and your total profits. Would the new pricing increase profit?

Maybe the best price cut is not exactly $1. Write a profit equation. Profits equal to total revenue minus total cost. Total cost equals $5 times the number of drinks sold. Total revenue equals the price for drinks times the number of drinks sold, plus 300 people times the cover charge. The cover charge equals, for a light drinker, the triangle of consumer surplus above the price but below the demand curve for a light drinker. (The area of a triangle equals one half the base times the height.) You will take the derivative of the profit equation with respect to P or Q and set it equal to zero. For example, use the equation for the total demand curve and solve for Q in terms of P. Then in the profit equation substitute in an expression involving P in place of every Q that was in the original profit equation. Now you can take a derivative of profits with respect to P and set the derivative equal to zero. Eventually, you can solve for the exact best P, Q, and cover charge.

Review of the slope-intercept form: Y= a - bX; a = the intercept on the Y-axis and b = the absolute value of the slope (slope=(change in Y)/(change in X)) For a demand curve: P=a-b Q. The intercept on the vertical axis would indicate a price that is so high that the quantity demanded becomes zero. The slope is the ratio of a change in price divided by the change in quantity demanded; the extra credit problem gives you information to determine the slope for a light drinker and the slope for a heavy drinker.

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Michael spends all of his income on coffee and donuts. A coffee costs $2.50 and a donut costs $2.00. At his current consumption level, the marginal utility for coffee is 30 utils, and the marginal utility for a donut is 60 utils. Which statement best describes what Michael needs to do to maximize his utility?

Question 1 options:

1)	buy less of both coffee and donuts.

2)	buy less coffee and more donuts.

3)	buy more coffee and less donuts.

4)	spend the same amount on coffee as he does on donuts.

Question 2

What is it called when the marginal utility derived from the last dollar spent on each good is the same across all goods and the last dollar spent uses all of the available budget for the purchase of those goods?

Question 2 options:

1)	the optimal consumption bundle.

2)	the optimal production bundle.

3)	diminishing marginal utility.

4)	optimal point.

Question 3 (1 point)

What does the economic theory of marginal utility infer?

Question 3 options:

1)	consumers naturally know which consumption choices will maximize their utility.

2)	consumers who watch market trends are better at maximizing their utility than are those who do not watch those trends.

3)	one cannot maximize utility without taking an economics class that explains utility theory.

4)	one cannot maximize utility without doing the math of calculating the ratios of marginal utility divided by price.

Question 4

Kate is addicted to chocolate and does not care how much it costs. In fact, she spends more than $20 a week on chocolate. What can be concluded about elasticity in her buying decisions?

Question 4 options:

1)	Her income elasticity of demand for chocolate is equal to one.

2)	Her income elasticity of demand for chocolate is equal to zero.

3)	Her price elasticity of demand for chocolate is equal to one.

4)	Her price elasticity of demand for chocolate is equal to zero.

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Question 5 (1 point)

Why does the demand for a good become relatively more elastic?

Question 5 options:

1)	substitutes for the good become more available.

2)	substitutes for the good become less available.

3)	the good becomes more of a necessity.

4)	the time allowed for adjustment is shortened.

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Question 6 (1 point)

Assume the price of chicken per pound is $3.49 and that Americans purchase 10 million pounds per chicken every month. If the price of chicken increases to $5.49 per pound, identify what will occur to consumer surplus?

Question 6 options:

1)	consumer surplus increases.

2)	consumer surplus decreases.

3)	consumer surplus creates incentive to save.

4)	consumer surplus creates incentive to spend.

Question 7 (1 point)

What is another name for the difference between the price that consumers are willing to pay for a good and a lower price that they may actually have to pay?

Question 7 options:

profit.

revenue.

3)	consumer utility.

4)	consumer surplus.

Question 8

Adam, Brian, Robert, and Sam all want to attend a football game. The admission price is $48. Adam is willing to pay $59 for the ticket. Brian is willing to pay $39. Robert is willing to pay $45, and Sam is willing to pay $55. Based on this information, who will go to the game?

Question 8 options:

1)	Adam, Brian, Robert, and Sam.

2)	Brian and Robert.

3)	Adam and Sam.

4)	Brian, Robert, and Sam.

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Question 9 (1 point)

Lily is willing to pay $10 for one bracelet and $5 for a second. Patty is willing to pay $12 for one bracelet and $2 for a second. If the price is currently $8 per bracelet, identify what is the total consumer surplus after Lily and Patty make their purchases?

Question 9 options:

Question 10 (1 point)

Manfred is willing to shovel one driveway for $25, a second for $30, and a third for $35. Assume that the market rate for shoveling driveways is $32. How many driveways will Manfred shovel, what will be his total revenue, and what will be his producer surplus?

Question 10 options:

1)	Manfred will shovel two driveways for a total revenue of $64 and his producer surplus will be $9.

2)	Manfred will shovel three driveways for a total revenue of $75 and his producer surplus will be $12.

3)	Manfred will shovel three driveways for a total revenue of $96 and his producer surplus will be $5.

4)	Manfred will shovel four driveways for a total revenue of $125 and his producer surplus will be $18.

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Question 11 (1 point)

What would the difference between the price that producers receive and the lower price at which they are willing to sell the good be called?

Question 11 options:

1)	producer shortage.

2)	producer surplus.

3)	consumer shortage.

4)	consumer surplus.

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Question 12 (1 point)

What will happen when there is an increase in the price of eBook downloads?

Question 12 options:

1)	It reduces the marginal utility derived from each dollar spent on eBooks.

2)	It reduces the marginal utility derived from each hardcopy book purchased.

3)	There will not be a substitution effect.

4)	There will not be a change in the number of eBooks in the set of consumption possibilities.

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Question 13 (1 point)

When is price elasticity of demand utilized to measure how an individual changes the quantity they demand?

Question 13 options:

1)	when supply changes.

2)	when product quality changes.

3)	when marketing changes.

4)	when price changes.

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Question 14 (1 point)

Assume Mary consumes only tea and pastries. A cup of tea costs 5 euros and a pastry costs 8 euros. Her weekly income is 450 euros. Mary always drinks 2 cups of tea for every pastry she consumes. What is Maryâs optimal weekly consumption bundle?

Question 14 options:

1)	25 cups of tea and 50 pastries.

2)	50 cups of tea and 25 pastries.

3)	58 cups of tea and 20 pastries.

4)	60 cups of tea and 30 pastries.

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Question 15 (1 point)

When is producer surplus a positive value?

Question 15 options:

1)	the price the producer is willing to charge equals the market price.

2)	there is no tax applied to the good.

3)	the price the producer is willing to charge is less than the market price.

4)	the price the producer is willing to charge is greater than the market price.

ECON 102 Lecture Notes - Lecture 2: Budget Constraint

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