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75. Business A company produces a handheld game console for which the variable cost is $68.20 per unit and the fixed costs are $248,000. The

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75. Business A company produces a handheld game console for which the variable cost is $68.20 per unit and the fixed costs are $248,000. The game console sells for $98.98. Let x be the number of units produced and sold. (a) The total cost for a business is the sum of the variable cost and the fixed costs. Write the total cost C as a function of the number of units produced. (b) Write the revenue R as a function of the number of units sold. (c) Write the profit P as a function of the number of units sold. (Note: P = R - C.)76. MODELING DATA The table shows the revenue y (in thousands of dollars) of a landscaping business for each month of 2010, with x = 1 representing January. Month, X Revenue, y 5.2 5.6 6.6 8.3 11.5 15.8 12.8 10.1 8.6 6.9 11 4.5 12 2.7 The mathematical model below represents the data. fix) = -1.97x + 26.3 0.505x - 1.47x + 6.3 (a) Identify the independent and dependent variables and explain what they represent in the context of the problem. (b) What is the domain of each part of the piecewise- defined function? Explain your reasoning. (c) Use the mathematical model to find /(5). Interpret your result in the context of the problem. (d) Use the mathematical model to find f(11). Interpret your result in the context of the problem. (e) How do the values obtained from the models in parts (c) and (d) compare with the actual data values

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