Spatial decisions that follow gravity models investigate the relationship between customers and businesses relative to their sizes and distances, wherein distant things are less related than near things. A. True B. False
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and businesses relative to their sizes and distances, wherein distant things are less related
than near things.
A. True
B. False
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- Maximize 8x + 9y Subject to -- x + 2 y 0 a) Solve using simplex methodLong-Life Insurance has developed a linear model that it uses to determine the amount of term life insurance a family of four should have, based on the current age of the head of the household. The equation is:y = 850 − .1xwherey = Insurance needed ($000)x = Current age of head of household a. Plot the relationship on a graph. b. Use the equation to determine the amount of term life insurance to recommend for a family of four if the head of the household is 30 years old.Timely Transport provides local delivery service for a number of downtown and suburban businesses. Delivery charges are based on distance and weight involved for each delivery: 10 cents per pound and 15 cents per mile. Also, there is a $10 handling fee per parcel.a. Develop an expression that summarizes delivery charges.b. Determine the delivery charge for transporting a 40-pound parcel 26 miles.
- Todd's Direct, a major TV sales chain headquartered in New Orleans, is about to open its first outlet in Mobile, Alabama, and wants to select a site that will place the new outlet in the center of Mobile's population base. Todd examines the seven census tracts in Mobile, plots the coordinates of the center of each from a map, and looks up the population base in each to use as a weighting. The information gathered appears in the following table. Census Tract Population in Census Tract X, Y Map Coordinates 101 2,100 (26,44) 102 5,200 (25,24) 103 10,500 (57,42) 104 7,200 (52,18) 105 10,400 (80,48) 106 18,000 (68,22) 107 14,000 (84,22)Oscar's Bowling, Ic., wants to break into the Phoenix metropolitan market with one of its super-sized 200 lane, 24-hour bowling alleys. It, however, only has enough capital to build one facility. Oscar wants it to be centered by population, as determined by the center of gravity method. The following information is given: City Population x coordinate y coordinate Tempe 285,000 Scottsdale 350,000 10 Chandler 725,000 5 Mesa 300.000 10 1 Glendale 345,000 1 10 a. Where should Oscar build? Oscar should build at an x coordinate of and a y coordinate of . (Enter your responses rounded to one decimal place.)B 8,000 A 4,000 10,000 20,000 Disposable income Figure 1.2 2) Refer to Figure 1.2. The slope of the line between Points A and B is A) 0.4. C) 2.5. B) 1.2. D) indeterminate from this information. Consumption
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- A farmers' cooperative association plans to build a new sugar mill in Georgetown. Theprimary objective of the mill is to provide the farmers with a place to take their crop forprocessing that will reduce their transportation costs. The members of the co-op believe thatthe center-of-gravity method is appropriate for this objective. While there are over 200 sugarcane farms in the region, they are tightly clustered around six villages. Using the data below,use the center-of-gravity method to calculate the coordinates of the best location for this mill.All mileage references use Browns Town as (0,0).VillageMiles East ofBrowns TownMiles North ofBrowns TownSugar CanetonnageBarney Valley 90 10 240,000Blue Pasture 140 60 320,000Congo Valley 20 70 450,000Bower 50 20 120,000Rabacca 100 80 60,000Salem 10 120 140,000Civil engineering consulting fi rms that provide ser-vices to outlying communities are vulnerable to a number of factors that affect the fi nancial conditionof the communities, such as bond issues and real estate developments. A small consulting fi rm en-tered into a fi xed-price contract with a large devel-oper, resulting in a stable income of $260,000 per year in years 1 through 3. At the end of that time, a mild recession slowed the development, so the par-ties signed another contract for $190,000 per year for 2 more years. Determine the present worth of thetwo contracts at an interest rate of 10% per year.1. Which method would you choose to compute dissimilarity between clusters using the distance between two observations, one from each cluster,that are the most different? a. Group average linkage b. Ward's method C. single linkage d.Complete linkage 2.Cluster analysis is often used for what business purpose? a.Segmenting customers b. predicting product demand c. Forecasting revenue d.Assessing product success