A consumer’s budget set for two goods (X and Y) is 600 ≥ 3X + 6Y. (LO2) a. Illustrate the budget set in a diagram. b. Does the budget set change if the prices of both goods double and the consumer’s income also doubles? Explain. c. Given the equation for the budget set, can you determine the prices of the two goods? The consumer’s income? Explain.
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A consumer’s budget set for two goods (X and Y) is 600 ≥ 3X + 6Y. (LO2)
a. Illustrate the budget set in a diagram.
b. Does the budget set change if the prices of both goods double and the consumer’s
income also doubles? Explain.
c. Given the equation for the budget set, can you determine the prices of the two
goods? The consumer’s income? Explain.
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- The American Baker’s Association reports that annual sales of bakery goods last year rose 15 percent, driven by a 50 percent increase in the demand for bran muffins. Most of the increase was attributed to a report that diets rich in bran help prevent certain types of cancer. You are the manager of a bakery that produces and packages gourmet bran muffins, and you currently sell bran muffins in packages of three. However, as a result of this new report, a typical consumer’s inverse demand for your bran muffins is now P = 5 - 0.5Q.If your cost of producing bran muffins is C(Q) = 1.5Q, determine the optimal number of bran muffins to sell in a single package and the optimal package price.Instruction: Enter your response for the optimal package price rounded to two decimal places.Optimal package size: units Optimal package price: $The American Baker’s Association reports that annual sales of bakery goods last year rose 15 percent, driven by a 50 percent increase in the demand for bran muffins. Most of the increase was attributed to a report that diets rich in bran help prevent certain types of cancer. You are the manager of a bakery that produces and packages gourmet bran muffins, and you currently sell bran muffins in packages of three. However, as a result of this new report, a typical consumer’s inverse demand for your bran muffins is now P = 3 − 0.5Q.If your cost of producing bran muffins is C(Q) = 1.0Q, determine the optimal number of bran muffins to sell in a single package and the optimal package price.Instructions: Enter your response for the optimal package price rounded to two decimal places.Optimal package size: units Optimal package price: $The American Baker’s Association reports that annual sales of bakery goods last year rose 15 percent, driven by a 50 percent increase in the demand for bran muffins. Most of the increase was attributed to a report that diets rich in bran help prevent certain types of cancer. You are the manager of a bakery that produces and packages gourmet bran muffins, and you currently sell bran muffins in packages of three. However, as a result of this new report, a typical consumer’s inverse demand for your bran muffins is now P = 8 – 1.5Q. If your cost of producing bran muffins is C(Q) = 0.5Q, determine the optimal number of bran muffins to sell in a single package and the optimal package price.
- A common marketing tactic among many liquor stores is to offer clientele quantity (or volume) discounts. For instance, the second-leading brand of wine exported from Chile sells in the United States for $15 per bottle if the consumer purchases up to eight bottles. The price of each additional bottle is only $8. If a consumer has $200 to divide between purchasing this brand of wine and other goods, graphically illustrate how this marketing tactic affects the consumer's budget set if the price of other goods is $1. Assuming a consumer has standard indifference curves (i.e.,resembling those in Figure 4-2), will she ever purchase exactly 8 bottles of wine?The Brady family have a weekly budget of €200 to be spent on Food (F) and Other Goods (OG), which are initially equally priced at €10 and €20 per unit, respectively. Given recent inflation, the government has concerns about the ability of large families to afford an adequate diet for children. Due to this, the government announces that when Food consumption exceeds 12 units, the government will subsidise food consumption so that the price per subsequent unit will be €5 for any family. With Food on the horizontal axis, show the family’s pre and post-scheme budget line. Can we definitively determine the family’s utility maximising consumption bundle as a result of the government scheme?Several local golf tournaments are coming up and Tommy needs to purchase golf balls in preparation. He has set a $150 budget and will choose golf balls that will give him as much utility as possible. A local sporting goods store sells a box of golf balls at a retail price of $30 and Tommy purchases 2 boxes. A few buddies tell Tommy about an online store that offers boxes of golf balls at a discounted price of $21, while all other prices remain the same, and Tommy decides to purchase 3 additional boxes of golf balls to keep on hand. Given this information, plot Tommy's demand curve for golf balls. Provide your answer below: Price of Golf Ball Boxes Online Store (4,$22) 20 Local Store (1,$10) —101 Quantity of Golf Ball Boxes
- Suppose that the price of commodity Y is $2 per unit while the price of commodity X is $4 per unit and suppose that an individual’s money income is $100 per time period and is all spent on X and Y. Draw the budget constraint line for this consumer at the initial point. 2.If the price of Y decreases to $3, incorporate BL2 showing change in the Budget line.Megan is a college student who consumes food and transportation. Last year, she consumed 90 meals and purchased 100 gallons of gasoline per month. Suppose that last year the price of a meal was $5 and the price of a gallon of gasoline was $2.23. However, this year, the price of a meal is $6 and the price of a gallon of gasoline is $3.92. As a result, Megan consumes 100 meals and 80 gallons of gasoline. For this example, assume Megan's utility this year is the same as her utility last year (and that her preferences have not changed). Calculate a Laspeyres cost-of-living index for Megan using 100 as the base for last year. In particular, the Laspeyres index for this year is nothing. (Enter your response rounded to two decimal places.)Refer to figure 6.1. Assume that L1 represents the budget line before a price change. Point C represents the: A) uncompensated effect on an increase in the price of soup B) compensated effect on a decrease in the price of soup C) uncompensated effect on a decrease in the price of soup D) compensated effect on an increase in the price of soup
- The price of a hand sanitizer is Tk. 120 and the store fixed the maximum number of hand sanitizers per customer to 4 but will sell more than 4 at a price of Tk.150. Draw and explain how this decision by the store will affect a consumers budget line if the consumer only purchases 2 goods, hand sanitizers and masks.In the above figure a consumer is initially at equilibrium at point C. The consumer’s income is $400, and the budget line through point C is given by $400 = 100X + 200Y. When the consumer is given a $100 gift certificate that is good only for product X, she moves to a new equilibrium point at point D. (a) How many units of product X will be purchased at point B? Please explain. (b) How many units of Product X will be purchased at point F? Please explain. (c) Please rank the bundles of goods A, B, C, D, from least preferred to most preferred (from lowest utility or satisfaction to highest utility of satisfaction).In the below figure, a consumer is initially in equilibrium at point C. The consumer’s income is $250, and the budget line through point C is given by $250 = $50X + $125Y. When the consumer is given a $100 gift certificate that is good only at store X, she moves to a new equilibrium at point D. "The horizontal axis is labeled Product X. The vertical axis is labeled Product Y. A line begins at point A on the vertical axis goes down to the right and ends at point E on the horizontal axis. A second line parallel to the first one begins at point B in the first quadrant close to point A, goes down to the right and ends at point F on the horizontal axis. A horizontal line connects point A and B. An upward-facing curve labeled l-subscript 1 begins at the top left of the quadrant along the vertical axis, goes down to the right in decreasing steepness, intersects the horizontal line [AB], meets the first line at point C then continues with increasing to the right and above the line to exit…