Question 1

Use the table below to answer the following questions.
Table 8.2.3 
-Refer to Table 8.2.3.If income is $13,then utility is maximized when consumption is

Accepted Answer

Utility is maximized where the satisfaction from consumption is greatest given the budget constraint. In this case, with an income of $13 and prices of $1 for X and $2 for Y, the budget constraint is 13 = X + 2Y. Using the table, we can see that the highest level of utility (21) is achieved when consuming 4 units of X and 5 units of Y, which fits within the budget constraint: 4+2(5) = 14, which is greater than but closest to 13. Therefore, the best choice is 4 units of X and 5 units of Y.

Question 2

According to the marginal utility theory,consumers

Accepted Answer

According to the marginal utility theory, consumers aim to maximize their overall utility by equalizing the marginal utility per dollar spent on each good. This means that consumers will continue to consume a good until the marginal utility per dollar spent on it is equal to the marginal utility per dollar spent on any other good available to them. This ensures that they are getting the most utility possible from their limited budget.

Question 3

To determine consumer equilibrium we need to know only

Accepted Answer

To determine consumer equilibrium, we need to compare the marginal utility to price ratios of different goods and the consumer's income. Therefore, we need to know prices, income, and marginal utility.

Question 4

The total utility from owning three skirts is equal to

Accepted Answer

Total utility is calculated by adding up the marginal utility of each unit consumed. Therefore, the total utility from owning three skirts is equal to the sum of the marginal utility from the first skirt plus the marginal utility from the second skirt plus the marginal utility from the third skirt.

Question 5

Marginal utility theory assumes that when Kelly decreases the number of hockey games that she attends each week from 3 to 2,her

Accepted Answer

Marginal utility theory assumes that as the quantity of a good consumed decreases, the marginal utility of that good will increase. Therefore, if Kelly decreases the number of hockey games she attends from 3 to 2, her marginal utility of attending each game will increase, which is described in option C. Options A, B, D, and E are all incorrect based on this assumption.

Question 6

Let MU_A and MU_B stand for the marginal utility of goods A and B,respectively.Let P_A and P_B stand for the price of goods A and B,respectively.Which statement must hold for consumer equilibrium?

Accepted Answer

Consumer equilibrium occurs when the marginal utility per dollar spent on each good is equal. Therefore, the statement in choice D, which says that the ratio of the marginal utilities is equal to the ratio of the prices, must hold for consumer equilibrium.

Question 7

Which one of the following is not true in consumer equilibrium?

Accepted Answer

In consumer equilibrium, the consumer is maximizing utility given her income and the prices of goods and services. The marginal utility per dollar is equal for all goods, and given prices and her income, the consumer finds that any other choice of goods to consume would lower her utility. The consumer will not change her choices unless prices or income change. However, the total utilities of all goods are not necessarily equal in consumer equilibrium, as the consumer may derive more utility from some goods than others.

Question 8

Use the table below to answer the following questions.
Table 8.2.1 
-Refer to Table 8.2.1.Consider Sam's utility from sailing and skiing.The price of sailing is $10 per hour and the price of skiing is $20 per hour;Sam's income to spend on these activities is $80.In consumer equilibrium,Sam will sail for

Accepted Answer

To find the consumer equilibrium, we need to compare the Marginal Utility per dollar for sailing and skiing. From the table, we see that the MU per dollar for sailing and skiing are 12 and 10 respectively. Since Sam has $80 to spend, the total expenditure on sailing and skiing cannot exceed $80. Let's assume Sam sails for x hours and skis for y hours. Then, the budget constraint is given by:

10x + 20y = 80
=> x + 2y = 8

To maximize utility, Sam should spend such that the MU per dollar for both activities are equal. Let's calculate the MU per dollar for each activity:

MU per dollar of sailing = 24 ÷ 2 = 12
MU per dollar of skiing = 20 ÷ 2 = 10

Since MU per dollar of sailing is greater than skiing, Sam should spend more on sailing. So, Sam should sail for x hours and ski for y hours such that the ratio of MU per dollar is the same as the ratio of prices. That is,

MU per dollar of sailing = MU per dollar of skiing
=> 12 ÷ 10 = 10 ÷ (20/x)
=> x = 4

So, Sam will sail for 4 hours and spend $40 (10 x 4) on sailing. The remaining budget of $40 will be spent on skiing at its price of $20 per hour, giving Sam 2 hours of skiing. Hence, the correct option is D - Sam will sail for 4 hours and ski for 2 hours.

Question 9

Use the table below to answer the following questions.
Table 8.2.2 
-Refer to Table 8.2.2.What is the total utility if 3 bags of popcorn and 2 bottles of pop are consumed?

Accepted Answer

The total utility is calculated by adding the utility from consuming 3 bags of popcorn and 2 bottles of pop. If the utility values for these quantities are given in Table 8.2.2, the sum should be 490.

Question 10

Use the table below to answer the following questions.
Table 8.2.2 
-Refer to Table 8.2.2.Henry is maximizing his utility by consuming 3 bags of popcorn and 3 bottles of pop.What is the ratio of the price of popcorn to the price of pop?

Accepted Answer

The answer of Use the table below to answer the...

Question 11

In consumer equilibrium,

Accepted Answer

In consumer equilibrium, total utility is maximized given the consumer's income and the prices of goods, as consumers allocate their budget in a way that maximizes their satisfaction.

Question 12

If a consumer spends all his income and his marginal utility per dollar is equal for all goods,then

Accepted Answer

When a consumer spends all his income and his marginal utility per dollar is equal for all goods, it means that the consumer has allocated his or her resources in a way that maximizes total utility. This is because the consumer has equalized the marginal utility per dollar across all goods, ensuring that no reallocation of spending could provide more satisfaction.

Question 13

Use the table below to answer the following questions.
Table 8.2.1 
-Refer to Table 8.2.1.Consider Sam's utility from sailing and skiing.If the price of sailing is $10 per hour and the price of skiing is $20 per hour,Sam will choose to spend

Accepted Answer

Sam will allocate more time to the activity that provides higher utility per dollar spent. If sailing offers more utility per dollar than skiing (given the prices), Sam will choose to spend more time sailing than skiing.

Question 14

Advise Sarah how to maximize her utility if MU_A = 8,MU_B = 20,P_A = 4 and P_B = 5.

Accepted Answer

To maximize utility, Sarah should consume more of the good with a higher marginal utility per price (MUP). Here, MUP for good A is 8/4 = 2, and for good B is 20/5 = 4. Since good B has a higher MUP, Sarah should consume more of good B and less of good A.

Question 15

Harold can consume either pens or milkshakes.The price of a pen is $1,and the price of a milkshake is $1.Harold knows that when his income is spent,his marginal utility from pens will be 10 and his marginal utility from milkshakes will be 8.Harold is better off

Accepted Answer

Harold's marginal utility per dollar spent on pens is 10, and the marginal utility per dollar spent on milkshakes is 8. Therefore, Harold should spend more on pens and less on milkshakes in order to maximize his utility. This means that he is better off consuming more pens and fewer milkshakes.

Question 16

Sarah can consume either pizzas or hamburgers.The price of a hamburger is $1 and the price of a pizza is $5.Let MU_h be the marginal utility of hamburgers and MU_p be the marginal utility of pizzas.In consumer equilibrium,what must the ratio MU_h/MU_p equal?

Accepted Answer

In consumer equilibrium, the ratio of the marginal utilities of two goods (in this case, hamburgers and pizzas) must equal the ratio of their prices. Since the price of a hamburger is $1 and the price of a pizza is $5, the ratio of the marginal utility of hamburgers to the marginal utility of pizzas must equal 1/5.

Question 17

Sam buys gasoline and coffee each week.To draw his budget line for gasoline and coffee,Sam needs to know

Accepted Answer

To draw a budget line, Sam needs to know how much income he has to spend and the prices of gasoline and coffee. Option A, B, and D are not directly related to drawing a budget line for gasoline and coffee. Option C may affect Sam's purchasing behavior, but it is not necessary information for drawing a budget line. Thus, the best choice is E.

Question 18

Suppose a consumer spends all his income.His marginal utility per dollar on X is 4 and marginal utility per dollar on Y is 2.We know that

Accepted Answer

The consumer should consume more of X and less of Y because the marginal utility per dollar of X is higher than that of Y. This would increase the consumer's total utility. The prices of the two goods are not given, so we cannot determine the specific price ratios between X and Y.

Question 19

Let MU_A and MU_B stand for the marginal utility of goods A and B,respectively.Let P_A and P_B stand for the price of goods A and B,respectively.Assume that for a given consumer MU_A and MU_B are equal to each other,and P_A is greater than P_B.In this case,the consumer is better off if he consumes

Accepted Answer

Since the marginal utility of both goods is equal, the consumer will continue to consume both goods until the ratio of their prices is equal to the ratio of their marginal utilities. However, since the price of good A is higher than good B, the consumer will allocate more of their budget towards good B. Therefore, the consumer should consume less of good A and more of good B in order to maximize their utility.

Question 20

Samir consumes apples and bananas and is in consumer equilibrium.The marginal utility from his last apple is 10 and the marginal utility from his last banana is 5.If the price of an apple is $0.50,then what is the price of a banana?

Accepted Answer

In consumer equilibrium, the ratio of the marginal utilities of two goods equals the ratio of their prices. Therefore, $ \frac{MU_{apple}}{MU_{banana}} = \frac{Price_{apple}}{Price_{banana}} $. Given $ MU_{apple} = 10 $, $ MU_{banana} = 5 $, and $ Price_{apple} = $0.50 $, we can solve for $ Price_{banana} $ as follows: $ \frac{10}{5} = \frac{0.50}{Price_{banana}} $, which simplifies to $ Price_{banana} = $0.25 $.

Quiz 8: Utility and Demand

Use the table below to answer the following questions. Table 8.2.3 -Refer to Table 8.2.3.If income is $13,then utility is maximized when consumption is

According to the marginal utility theory,consumers

To determine consumer equilibrium we need to know only

The total utility from owning three skirts is equal to

Marginal utility theory assumes that when Kelly decreases the number of hockey games that she attends each week from 3 to 2,her

Let MUA and MUB stand for the marginal utility of goods A and B,respectively.Let PA and PB stand for the price of goods A and B,respectively.Which statement must hold for consumer equilibrium?

Which one of the following is not true in consumer equilibrium?

Use the table below to answer the following questions. Table 8.2.2 -Refer to Table 8.2.2.What is the total utility if 3 bags of popcorn and 2 bottles of pop are consumed?

Use the table below to answer the following questions. Table 8.2.2 -Refer to Table 8.2.2.Henry is maximizing his utility by consuming 3 bags of popcorn and 3 bottles of pop.What is the ratio of the price of popcorn to the price of pop?