1. The cost of producing an item is \$5 per item plus an initial cost of \$2000. The selling price is \$10 per item. Find the break-even point. A. 4000 items B. 4500 items C. 400 items D. 450 items Hint 2. Solve the system of equations y = 0.5x and 4y = x - 2 by graphing. A. B. C. D. Hint 3. Solve the system of equations by substitution.x = zx - 2y + z = 62x + y - 2z = 1What is the value of x + y + z? A. 8 B. 10 C. 9 D. 11 Hint 4. Find the value of . A. -17 B. 17 C. -3 D. 3 Hint 5. Solve the system of inequalities by graphing. A. B. C. D. Hint 6. Find the maximum value of f(x, y) = 2x + y - 2 for the polygonal convex set determined by the system of inequalities. A. 6 B. 18 C. 12 D. 14 Hint 7. Solve the system of three equations by elimination:5x + 2y - 3z = 102x - 2y + 4z = 6x - y + 2z = 3 A. (2, -5, 3) B. infinite solutions C. (3, 4, 2) D. no solution Hint 8. A. B. C. impossible D. Hint 9. A. B. impossible C. D. Hint 10. A quadrilateral with vertices A(-2,-3), B(-4,2), C(-2,4) and D(0,2) is translated 5 units to the right and 3 units down. What are the new coordinates? A. A(-5,2), B(-7, 7), C(-5, 9), D(-3, 7) B. A(3,0), B(-1,5), C(3,7), D(5,5) C. A(3,-6), B(1,-1), C(3,1), D(5,-1) D. A(3,-6), B(1,-1), C(3,7), D(5,5) Hint 11. Use matrices to determine the coordinates of the image of with vertices A(-3,4), B(-5,2) and C(-6,5) once it is rotated 90°. A. A'(-3,-4), B(-5,-2) and C'(-6,-5) B. A'(-4,-3), B(-2,-5) and C'(-5,-6) C. A'(3,4), B(5,2) and C'(6,5) D. A'(3,-4), B(5,-2) and C'(6,-5) Hint 12. Find the inverse of . A. B. C. D. Hint 13. Find the maximum value of f(x, y) = 2x + y - 4 for the system of inequalities:y -3x + 1y x - 4x 0y 0 A. infeasible B. 2 C. alternate optimal solutions D. unbounded Hint 14. Sam has \$10,000 to deposit in two different savings accounts. He wants at least \$3,000 in the account that earns 3% interest. He wants no less than \$5,000 in the account with 7% interest. Write a system of inequalities to represent this situation. A. x 3000y 5000x + y 10,000 B. x 3000y 5000x + y 10,000 C. x 5000y 3000x + y 10,000 D. x 3000y 5000x + y 10,000 Hint