Dynamo, Inc. is a North Dakota manufacturer of a variety of downhill skis. Dynamo is considering four locations for a new plant: Colorado Springs, Colorado; Wichita, Kansas; Lincoln, Nebraska; and Sioux Falls, South Dakota. Annual fixed costs and variable costs per pair of skis are shown in the table below.

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Location Colorado Springs, CO Wichita, KS Lincoln, NE Sioux Falls, SD Annual Fixed Costs $6,500,000 $2,000,000 $3,600,000 $5,000,000 Variable Costs per pair $200 $150 $100 $75 (a) Plot the total cost lines for all locations on a single graph. Indicate on the graph the range in production volume over which each location would be best. Please draw by hand to scale. Use graph paper - you may choose to use the one that the instructor will provide to you through Moodle. (The graphing must not be done by using any graphing software.) [30 points] (b) What breakeven quantities define each of the following transitions? Do this algebraically and comment on how your algebraic results compare with your graphical results in part (a) above. [I] Wichita versus Lincoln transition [8 points] [II] Lincoln versus Sioux Fall transition [8 points] [III] Wichita versus Sioux Fall transition [8 points] (c) Based on the cost information provided in the table above, can Colorado Springs be the best place to locate the ski plant? Clearly explain your answer [8 points]. (d) The city of Colorado Springs has promised a tax break that would reduce Dynamo's annual fixed cost by $3.5 million, under the condition that the company locates its plant in that city. By graphing the total cost lines as in (a) above on a separate graph paper, indicate whether, you (as manager making the decision), would accept the city's offer. Based on your graph, clearly explain under what condition(s) you may or may not do so. Please note that aside from this city's offer, all other factors remain unchanged. [20 points] Location Colorado Springs, CO Wichita, KS Lincoln, NE Sioux Falls, SD Annual Fixed Costs $6,500,000 $2,000,000 $3,600,000 $5,000,000 Variable Costs per pair $200 $150 $100 $75 (a) Plot the total cost lines for all locations on a single graph. Indicate on the graph the range in production volume over which each location would be best. Please draw by hand to scale. Use graph paper - you may choose to use the one that the instructor will provide to you through Moodle. (The graphing must not be done by using any graphing software.) [30 points] (b) What breakeven quantities define each of the following transitions? Do this algebraically and comment on how your algebraic results compare with your graphical results in part (a) above. [I] Wichita versus Lincoln transition [8 points] [II] Lincoln versus Sioux Fall transition [8 points] [III] Wichita versus Sioux Fall transition [8 points] (c) Based on the cost information provided in the table above, can Colorado Springs be the best place to locate the ski plant? Clearly explain your answer [8 points]. (d) The city of Colorado Springs has promised a tax break that would reduce Dynamo's annual fixed cost by $3.5 million, under the condition that the company locates its plant in that city. By graphing the total cost lines as in (a) above on a separate graph paper, indicate whether, you (as manager making the decision), would accept the city's offer. Based on your graph, clearly explain under what condition(s) you may or may not do so. Please note that aside from this city's offer, all other factors remain unchanged. [20 points]