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uppose two individuals (Cindy and Elicia) each have 12 hours of labor to devote to producing either roti (X) or fry rice (Y). Cindy’s demand for X and Y is given by: XC = 6/PX and YC = 6/PY, whereas Elicia’s demands are given by, XE = 8/PX and
YE = 4/PY. The individuals do not care whether they produce X or Y and the production function for each good is given by X = 3L; Y = 4L where L is the total labor devoted to production of each good. The equation for the frontier is given by X/3 + Y/4 = 24.
Which is the price ratio, Px/Py?
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- Suppose there are three (3) consumers in a market for bottles of perfume; Mutumbu, Jasanu and Julius The individual demand for perfumes for each of these consumers is given as 10 bottles for Mutumbu, 15 bottles for Jasanu and 25 bottles for Julius at $60 per bottle for perfume. Thus, the market demand for perfumes if the market price is $60 is: (a)40 bottles (b)60 bottles (c)80 bottles (d)None of the aboveYou must allocate the 70,000 seats in Reliant Stadium (in Houston) among Texan (Houston) and Cowboy (Dallas) fans for an upcoming game between the two footfall teams. You can set different prices for seats in the Dallas and Houston sections of the stadium. Suppose you can obtain $40/ticket from Houston fans irrespective of the number of seats you allocate to Houston fans. You must drop price in order to sell more tickets to Dallas fans, however. Let Q be the number of tickets you allocate to Dallas fans. Assume that the maximum price you can charge for these tickets is given by the following inverse demand function P= 80 500 (a) Express the total revenue (on all 70,000 seats) from ticket sales as a function of Q; (b) Derive the first-order condition of the revenue-maximizing problem (it's a function about Q); (c) What is the optimal number of seats allocated to Dallas fans?A Gain from Trade occurs when a unit is sold for a price greater than the unit of the good is worth to a seller and, simultaneously, bought for a price less than the good is worth to a buyer. Consider the first 2 units of the good that would be sold in this market (the vertical red line on the graph). which answer choices are correct for the graph given bellow?
- Find the equilibrium point for the supply and demand functions below. Enter your answer as an ordered pair. S(x)=4x+6D(x)=48−3xSusan and Katy share an apartment, which they have decided to decorate for the holidays. The figure below shows Susan’s and Katy’s individual demand for strands of lights, measured metres. If Susan and Katy were to individually decide how many metres of lights to purchase, how much would be purchased if the price of lights were $16 per metre. SOLUTION IS NOT 20 METRES 5 metres 10 metres 15 metres 20 metres None of these.Greg, Rob and Soroush all have different demands for coffee. Greg’s demand is given by Qg = 6 − P. Rob’s demand is given by Qr = 8 − 2P. Soroush’s demand is given by Qs = 6 − 1 2 P. (a) Derive the market demand curve for coffee. (b) Graph the market demand curve with an emphasis on the kinks.
- Be fast Suppose there are three (3) consumers in a market for bottles of perfume; Mutumbu, Jasanu and Julius The individual demand for perfumes for each of these consumers is given as 10 bottles for Mutumbu, 15 bottles for Jasanu and 25 bottles for Julius at $60 per bottle for perfume. Thus, the market demand for perfumes if the market price is $60 is: (a)40 bottles (b)60 bottles (c)80 bottles (d) None of the aboveSuppose there are two firms selling protein bars. Firm 1 sells 'AggieBars' with 10 grams of protein and firm 2 sells 'DavisBars' with 20 grams of protein. Consumers are distributed uniformly over their preferences for grams of protein between 10 and 20. Suppose firm 1 sells AggieBars for $2 and firm 2 sells DavisBars for $3. The 'cost to consumers of deviating from their optimal amount of protein is $0.20 per gram. a. What protein content does the marginal consumer (the consumer who is indifferent between AggieBars and DavisBars) prefer? The equation for finding the marginal consumer (when the range of product attribute values is 10) is V - p1 - tx m = V – p2 – t(10 – x m) 4 b. How would the proportion of consumers buying each product change if the cost to deviation from one's optimal amount of protein increased (was greater than $0.20 per gram)?Two individuals, Sam and Barb, derive utility from the hours of leisure (L) they consume and from the amount of goods (G) they consume. In order to maximize utility, they need to allocate the 24 hours in the day between leisure hours and work hours. The price of a good is equal to $1.00 and the price of leisure is equal to the hourly wage. We observe the following information about the choices that the two individuals make: Q 16- 14- 12- Sam Barb Sam Barb Price of Price 10- L L of L (hours) (hours) G ($) G ($) G 8- 7 13 10 77 98 1 132 1 11 10 12 154 1 15 7 14 255 150 6- Graphically, illustrate Sam's leisure demand curve and Barb's leisure demand curve. 4- 1.) Using the line drawing tool, draw Sam's leisure demand curve. Label this line D' 2- 2) Using the line drawing tool, draw Barb's leisure demand curve. Label this line D' 0- 0 4 в 8 10 12 14 Leisure (hours) Carefully follow the instructions above, and only draw the required objects. Wage (S)
- Kari and Hector both are interested in buying pizza slices for lunch. Kari's inverse demand for pizza slices is given by P = 250 – ()Q, where Pis the price of a pizza slice (in cents) and Q is the number of slices. Hector's inverse demand is given by P = 150 -)0. Suppose that Kari and Hector are the only two consumers in the market for pizza slices. Assuming that both Kari and Hector are consuming some pizza each, which of the following functions describes the relevant portion of the market demand curve? Choose one: O A. Q = 0 – (4 + 10)P - 400 В. Р%3D 400 + ( 4+10 C. P = – 400Q (4+10) O D. Q %3D 2,500 — (4 + 10)Р O OIn Autarka there are 9600 people who like to visit an amusement park. Each of theseconsumers wants to visit one park once. The consumers' homes are evenly spaced acrossthe island, and they each suffer a disutility of $24 for each kilometre they travel to reachan amusement park. With their current technology, it costs an amusement park $12 for each customer theyhost. At present, the equilibrium price for an amusement park ticket is $36, and each firmhas a profit of $115,200. This market is best modelled as Hotelling competition. Fixed costs should be neglected. Treat this market as a one-shot game. Do not consider repetition or associated phenomena such as collusion or predatory pricing. Derive an expression for the location of the indifferent consumer. Use PA to represent the price of admission at Alfonso's Wonderland, and PB to represent the price of admission at Bernice's Wild Rides.In Autarka there are 9600 people who like to visit an amusement park. Each of theseconsumers wants to visit one park once. The consumers' homes are evenly spaced acrossthe island, and they each suffer a disutility of $24 for each kilometre they travel to reachan amusement park. With their current technology, it costs an amusement park $12 for each customer theyhost. At present, the equilibrium price for an amusement park ticket is $36, and each firmhas a profit of $115,200. This market is best modelled as Hotelling competition. Fixed costs should be neglected. Treat this market as a one-shot game. Do not consider repetition or associated phenomena such as collusion or predatory pricing. Find the profit function for Bernice's Wild Rides. Assuming that Bernice's marginal cost is $12.