s the line 2 = 1-2t, y = 2+5t, z = -3t parallel to the plane 2x + y -z = 8? Give reasons for your answer. Make sure you think about the geometry before you answer this.
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- Heckscher-Ohlin Theorem: Suppose Azerbaijan and Georgia produce meat and potatoes. Azerbaijan is capital-abundant than Georgia (Scarce factor in Azerbaijan is land, and in Georgia it is capital). Suppose meat production is relatively more capital-intensive. When the two countries will open up borders and start trading with one another, please indicate in the boxes below, what is likely to happen to the variables after the trade Write + the variable increases; - if the variable decreases; 0 if the variable does not change; A if the direction of change is unknown. VARIABLES AZERBAIJAN GEORGIA The relative price of meat (Pm/Pp) Output of meat Output of potatoes Exports of meat Exports of Potatoes Imports of meat Imports of Potatoes Income of landowners in Azerbaijan Income of capital owners in Georgia WagesPlease give a detailed solution with an explanation. Please make sure the graph is visible, clear, and detailed. Make sure to include the new equilibrium coordinate point as well.The last set of questions are based on the following equation: Y = 0.5 + 1.2 X + 0.75 Z + 0.25 X Z. > If Z = 1, how much does Y change when you change X by 1? > If X = 2, how does Y change when you change Z by 1?
- Salop circle spatial model Imagine a circular city with a circumference of 50 miles. A total of 500 people live around the city, all of whom are evenly spaced. It costs any person 10 cents per mile to travel. Every one of these people needs to have exactly one meal prepared. The cost of preparing meals is given by C(g) = 10 + 0.5q where q is the number of meals prepared at any restaurant. (Hint: Define one unit of distance as 50 miles if that makes the problem easier.) a.If you were interested in the efficient way to feed the population, how many restaurants would you build? Show work and explain b.If the market determines the number ofrestaurants, and the result is firms that make zero economic profit, how many firms will there be? Show work and explain C. In what sense is this model one of monopolistic competition?Marketing surveys conducted by the sales manager for a company determined that 3,000 power drills could be sold for $60 each, but 4,000 drills could be sold for $50 each. (a) If the two data points were plotted on a coordinate system with the number of drills sold on the horizontal axis and the price of each drill on the vertical axis, what is the slope of the line between the two points? (b) Write a sentence that explains the result in part (a) in the context of this problem. For every additional drill sold, the price per drill (in cents) decreases by cent(s). (c) Assuming the trend in part (a) continues, how many drills can be sold for $56? drillsMary is a corn farmer in Iowa. If she does not irrigate his field, she can produce 120 bushels of corn per acre. If she applies 4 inches of irrigation water, she can produce 140 bushels of corn per acre. The application of 8, 12, and 16 inches of irrigation water can result in 160, 180, and 200 bushels of corn per acre, respectively. Graph the relationship between the amount of water applied and corn yield for Mary (Assume a straight-line relationship). Find and interpret the slope and Y intercept
- Suppose your worst enemy is standing over by the carnival games at (2,5) and wants to avoid you AT ALL COSTS. She takes a path that is parallel to yours and ends up at the roller coaster. What is an equation of the line representing your enemy's path?The following graph shows the annual market for Florida oranges, which are sold in units of 90-pound boxes. Use the graph input tool to help you answer the following questions. You will not be graded on any changes you make to this graph. Note: Once you enter a value in a white field, the graph and any corresponding amounts in each grey field will change accordingly. 07014021028035042049056063070050454035302520151050PRICE (Dollars per box)QUANTITY (Millions of boxes)Demand Supply Graph Input Tool Market for Florida Oranges Price (Dollars per box) Quantity Demanded (Millions of boxes) Quantity Supplied (Millions of boxes) In this market, the equilibrium price is per box, and the equilibrium quantity of oranges is million boxes. For each of the prices listed in the following table, determine the quantity of oranges demanded, the quantity of oranges supplied, and the direction of pressure exerted on prices…What could be the solution for this equation?
