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# Please let me know how much for the attached file

Please let me know how much for the attached file
FINITE MATHEMATICS MTH 212 Final Exam A Partial credit will be awarded only if you show ALL work. Each problem is worth 1 point. Grades will then be normalized for a total possible point value of 10. When completed, post your assignment in your INDIVIDUAL forum. 1. The supply and demand functions for chocolate ice cream are given by ° = ± ?² = 1 6 ? ³´µ ° = ? ?² = 9 1 3 ? , Where p represents the price in dollars. Find the equilibrium price. 2. Suppose that a linear cost function for an item is given by ? ?² = 50 ? + 300 . The items sell for \$75 each. Find the break-even quantity. 3. Credit card debt has risen steadily over the years. The table below gives the average U.S. credit card debt (in dollars) per household. Years are represented as the number of years since 1900. (The table below includes all credit cards and U.S. households with at least one credit card.) (a) Plot the data. Does the graph show a linear pattern? (b) Find the equation of the least squares line and graph it on the same axes. (You can use Excel). Does the line appear to be a good fit? (c) If this trend continues, when will household debt reach \$10,000? 4. If 6 items cost \$900 to produce and 13 items cost \$1600 to produce, find the linear cost function. 5. The cost in dollars for producing x units of a particular item is given by ? ?² = .37 ? + 682 . How many units could be produced for a cost of \$978? 6. Use the echelon method to solve the following system of equations. 9 ? − 8 = 12 6 ? + 4 = 1 7. Use the Gauss-Jordan method to solve the following system of equations. 2 ? + ¶ − · = 1 ? − 2 + 2 · = 7 3 ? + + · = 4 Year (x) 95 96 97 98 99 00 01 02 Debt (y) 5832 6487 6900 7188 7564 8123 8367 8562
8. Let ? = 3 2 4 1 ± °²³ ? = 1 0 3 4 2 5 ± . Find the products AB and BA , if these products exist. 9. Find the inverse of the following matrix, if the inverse exists. ? = ´ 2 1 0 0 3 1 1 0 1 µ 10. Solve the matrix equation = ? for using the given matrices. ? = ´ 1 0 2 1 1 0 3 0 4 µ , ? = ´ 8 4 6 µ 11. The initial tableau of a linear programming problem is given below. Use the simplex method to solve. · 1 · 2 · 3 ¸ 1 ¸ 2 ? ´ 2 2 1 1 2 3 3 2 1 1 0 0 0 1 0 0 0 1 10 15 0 µ 12. To pour a concrete sidewalk takes 2 hours of preparation and 3 hours of finishing. To pour a concrete patio takes 4 hours of preparation and 3 hours of finishing. There are 8 hours available for preparation and 21 hours available for finishing. ABC Concrete Company makes a profit of \$450 on a sidewalk and \$700 on a patio. How many sidewalks and patios should the company construct to maximize its profit? Set up a system of inequalities for this problem, identify all variables used, and give the objective function, but do not solve. 13. Write the initial simplex tableau for the linear programming problem given in Problem 12. 14. The below is the final tableau of a minimization problem. State the solution and the minimum value of the objective function. ? 1 ? 2 ? 3 ¸ 1 ¸ 2 ¸ 3 ? ¹ 1 0 0 0 0 1 0 1 0 0 0 0 º 3 1 2 4 5 3 2 7 6 5 7 3 0 0 0 1 º 12 5 8 172 »
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