Mary 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

Y 8- 7-+ 6 5 4 3 2 +x 01 2 3 4 5 6 78 What is the slope of the line in the figure above? 0.75 -0.75 1.33 -1.33 zero

OCHESTER 1. (12 points) Supply and Demand for Riesling The Finger Lakes region of New York State is known for its Rieslings. The demand function for bottles of wine from this region (in 100,000s) has two variables average annual income of purchasers. The functional form is: Qd=-2Pd-5+0.0011, where the price of wine and the Qd is quantity sold, Pd is the price of one bottle of wine, and I is equal to average income. Assume average annual income today is $30,000. A) (3 points) Calculate and plot the demand curve. B) (3 points) Calculate and plot the demand curve for I = $35,000 on the same graph as used in part a. == C) (6 points) Now assume a supply curve, Qs = 25P, - 175. Plot the supply curve on the same graph. Compute the equilibrium prices and quantities for the two demand curves.

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The line in the graph shows a relationship between two variables, x and y. What is the slope of the curve? ... The slope of the curve is >>> If the slope is negative, use a minus sign. If the slope is positive, do not use a plus sign. 8 7 5- 4- 3- 2- 1- 0- y 0 1 2 3 4

1. A Travel-Cost Method Now it is time for your first consulting job as an environmental economist. The Forest Service would like to know whether they should preserve some national forest land, previously slated to be logged, for hiking. You are helping do a travel-cost analysis to estimate the annual benefits of hiking in this area. Survey data has been gathered from 500 hikers who visited the forest last year. This forest did not charge an entrance fee. Using a statistical technique called regression analysis, you have controlled for differences in income, employment status, age, and other important factors that might affect the number of hiking trips taken. Taking these factors into account, you have developed the following relationship: Zone 1 2 3 Population in zone 1,000 3.000 2,000 Cost Per Hiking Trip Per Person 20 40 80 Hiking Trips Taken Per Zonal Person Per Year 8 6 2 where cost includes gas, tolls, fares, hotels, entry fees, and the value of time spent traveling. a. Graph a…

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Suppose your total benefits of renting x DVD's next month is: -²2² +14x+50 The cost of renting a DVD is $2, and so the total cost of renting x DVD's is $2x. Calculate your net benefit from watching 1, 2...8 DVDs. Complete column (2). (Enter your responses as integers.) (1) DVDs Rented 0 1 N345678 2 (2) Total Net Benefit

PROBLEM (1) (Rational Choice) Suppose your friend is about to buy a digital camera. A digital camera is identified with three dimensions; 1) resolution (in megapixels), 2) optical zoom (a real number) and 3) battery life (a number of hours). For example, A = (8, 4, 20) is a camera with 8mp resolution and x4 optical zoom and 20 hours of battery life. When he goes into a store, he faces a menu of cameras. When comparing two cameras if camera A is weakly better than B on at least 2 dimensions, it is weakly preferred to the other; written A ≥preferred B. a) Is this preference relation complete? Transitive? Prove it or show an example where the property doesn't hold. b) Suppose the agent chooses from any menu of cameras, a camera that is (weakly) preferred to all other cameras in the menu. Would this choice function be rational, given (a)? Briefly explain your reasoning.