Graph the solution set to the system of inequalities. 6. y > 4 7. Y -5x -5 8. X + 4y 8 ≤ ≤ Y < x+1 y x + 5 y > x - 9 ≥ Solve the Linear Programming problem. 9. A manufacturing company makes two types of water skis, a trick ski and a slalom ski. The relevant manufacturing data are given in the table. Labor-Hours per Ski Maximum Labor-Hours Department Trick Ski Slalom Ski Available per Day Fabricating 6 4 132 Finishing 1 1 30 If the profit on a trick ski is $40 and the profit on a slalom ski is $50, how many of each type of ski should be manufactured each day to realize a maximum profit? What is the maximum profit? a. Identify your variables. b. Write a system of constraints.
Graph the solution set to the system of inequalities. 6. y > 4 7. Y ≤ -5x -5 8. X + 4y ≤ 8 Y < x+1 y ≥ x + 5 y > x - 9 Solve the Linear Programming problem. 9. A manufacturing company makes two types of water skis, a trick ski and a slalom ski. The relevant manufacturing data are given in the table. Department Labor-Hours per Ski Maximum Labor-Hours Available per Day Trick Ski Slalom Ski Fabricating 6 4 132 Finishing 1 1 30 If the profit on a trick ski is $40 and the profit on a slalom ski is $50, how many of each type of ski should be manufactured each day to realize a maximum profit? What is the maximum profit? a. Identify your variables. b. Write a system of constraints.
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