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Find the intersection point of the following two constraints:
2X + 2Y = 34
3X + 1Y = 49
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- The travel time (t) on the segment of a highway connecting city A with city Bhas been observed to follow the equation below, as a function of traffic flow(v): t = 15 + 0.02v, where t and v are measured in minutes and vehicles perhour, respectively. The demand function for travel connecting the two cities isv = 3500 – 120t.a) Determine the equilibrium time and traffic flow.b) If the length of the highway segment is 30 kilometres, what is the averagespeed of vehicles traversing this segment at equilibrium conditions?What does a Production Possibility Frontier for Product X versus Y represent? A) The total combined production of Product X + Product Y for a given set of factors of production B) The trade-off in the level of total production at various output mixes for Product X and Product Y C) The most efficient product production mix for a given set of factors of production D) All of the aboveWhat are the Pareto optimal allocations from this set of feasible allocations: (8,3) (0,1) (3,2) (4,5) (1,0) (-2,10) (3,8) (9,1) (0,0)
- Are refridgerators elastic or inelastic? State determinants that support guess.What does it mean when the initial allocation is interim Pareto EfficientStudent Enterprises sells two sizes of wall posters, a large 3- by 4-foot poster and a smaller 2- by 3-foot poster. The profit earned from the sale of each large poster is $3; each smaller poster earns $2. The firm, although profitable, is not large; it consists of one art student, Jan Meising, at the University of Kentucky. Because of her classroom schedule, Jan has the following weekly constraints: (1) up to three large posters can be sold, (2) up to five smaller posters can be sold, and (3) up to 10 hours can be spent on posters during the week, with each large poster requiring 2 hours of work and each smaller one taking 1 hour. With the semester almost over, Jan plans on taking a 3-month summer vacation to England and doesn’t want to leave any unfinished posters behind. Find the integer solution that will maximize her profit.
- General Cereals is using a regression model to estimate the demand for Tweetie Sweeties, a whistle-shaped, sugar-coated breakfast cereal for children. The following (multiplicative exponential) demand function is being used: QD = 6,280 P(-2.15) A1.75N2.70 where QD = quantity demanded, in 10-oz boxes P = price per box, in dollars A = advertising expenditures on daytime television, in dollars N = proportion of the population under 12 years old, in percent What is the point price elasticity of demand for Tweetie Sweeties? 1.75 -1.23 2.70 -2.15 What is the advertising elasticity of demand? 0.65 1.75 -2.15 2.70 According to the estimated model, a percent increase in the proportion of the population under 12 years old by percent. the quantity demandedYou manage two chocolate factories. Using only these two factories, you must produce exactly 420 kgs of chocolate daily at lowest possible cost. Mathematically, you have: Q1 = Quantity produced at Chocolate Factory #1 Q2 = Quantity produced at Chocolate Factory #2 Daily total overall production: Q1 – Q2 = 420 At present, each factory produces half the overall requirement. This means that Q1 = 210, Q2 = 210 a) Following your logic , you realize that as long as the marginal cost is different between the two factories, you can lower overall cost while maintaining production at 420 kgs. So, to reduce the overall cost to the lowest possible, you decide to move more than 1 kilogram from one factory to another. As a result, each factory will produce a different quantity of chocolate while the overall daily production remains at 420 kgs. To minimize overall cost, how many kilograms will you order/instruct Factory #1 to produce? Q1 = ____________kgs And how many kilograms would you…Do you find the Train Law in its entirely justifiable? Yes or No? Why? (5-7 sentences only)
- The Atlas Movies Theater is planning to reprice their ticket rates to maximize revenues. They have three classes of tickets: Classic, Silver, and Gold. The accompanying table provides information on the average ticket sales, revenue and price elasticity on demand. They have a total seating capacity of 300. The table also provides the price range within which they plan to reduce their ticket rates. According to the nonlinear model, which of the following is the projected revenue figure for Silver tickets based on its new price? Click the icon to view the ticketing model. OA. $1,224.63 B. $1,132.08 C. $1,163.02 D. $1,316.92 Ticketing Model Atlas Movie Theater Ticketing Data Ticket Class Classic Silver Gold ... Current Average Elasticity Total Rate Daily Seating Sold Capacity $8.45 $13.25 80 $17.50 30 150 Print -1.5 -2 -1 Done 300 Price Range $6.50 $7.50 $11.50 $12.50 $15.50 $16.50 1 XSolve the following system by the substitution method. x+y=5 y3x² -7 The solution set is (Type an ordered pair. Use a comma to separate answers as needed. Simplify your answer.)explain Stolper-Samuelson Theorem with diagram
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