Math 151 Exam 2 Review: Inequalities, Linear Programming, and Manufacturing Problems, Exams of Mathematics for Liberal Arts

Download Math 151 Exam 2 Review: Inequalities, Linear Programming, and Manufacturing Problems and more Exams Mathematics for Liberal Arts in PDF only on Docsity! Math 151 Review for Exam 2 Sketch the points satisfying the given inequalities. 1. 623  yx 2. 1054  yx 3. xy  4. 3x 5. 053  yx 6. 1y Sketch the points satisfying the given system of inequalities. 7.      0 4 x yx 8.      1243 023 yx yx 9.            0 0 823 104 y x yx yx 10.            0 0 1052 1834 y x yx yx 11. Sketch the feasible region, list the corner points, and solve the following linear programming problem. Minimize yxz  2 subject to the constraints 0 0 95157 142 1834      y x yx yx yx Use mathematical symbols to state the objective and the constraints, then sketch the feasible region, list the corner points, and solve the following linear programming problems. 12. A clothing manufacturer has 12 square yards of cotton material, 12 square yards of wool, and 8 square yards of silk. A pair of slacks requires 2 square yards of cotton, 2 square yards of wool, and 1 square yard of silk. A skirt requires 1 square yard of cotton, 2 square yards of wool, and 1 square yard of silk. The profit on a pair of slacks is $6 and the profit on a skirt is $4. How many skirts and how many slacks should be made in order to maximize the profit? 13. A small furniture finishing plant finishes two kinds of tables, A and B. Each table must be sanded, stained, and varnished. Table A requires 15 minutes of sanding, 11 minutes of staining, and 5 minutes of varnishing. Table B requires 6 minutes of sanding, 11 minutes of staining, and 20 minutes of varnishing. The profit is $6 on each table A and $4 on each table B. If the sanding facility is available at most 420 minutes per day, the staining facility at most 440 minutes per day, and the varnishing facility at most 560 minutes per day how many tables of each type should be made each day in order to maximize the plant's profit? Answers to Math 151 Review for Exam 2 1. 2. 3. 4. 5. 6. 7. 8. 9. 10.