Applications of Linear Programming
Total Page：16
File Type：pdf, Size：1020Kb
Algebra 2H A Name:______3.4 Applications of Linear Programming Day 1 Worksheet
1. A painter has exactly 32 units of yellow dye and 54 units of green dye. Each gallon of paint requires 4 units of yellow dye and 1 unit of green dye. Each gallon of wash requires 1 unit of yellow dye and 6 units of green dye. Find the maximum total number of units of paint and wash he can make.
2. Superbats, Inc., manufactures two different quality wood baseball bats, the Wallbanger and the Dingbat. The Wallbanger takes 8 hours to trim/ turn on a lathe and 2 hours to finish. It has a profit of $17. The Dingbat takes 5 hours to trim/turn on a lathe and 5 hours to finish, but its profit is $29. The total time per day available for trimming/ turning is 80 hours and for finishing is 50 hours. How many of each bat should be produced to have the maximum profit? What is the maximum profit?
3. Your semester test in English consists of short answers and essay questions. Each short answer question is worth 5 points, and each essay question is worth 15 points. You may choose up to 20 questions of any type to answer. It takes 2 minutes to answer each short answer question and 12 minutes to answer each essay question. If you have one hour to complete the test, and assuming you answer all of the questions that you attempt correctly, how many of each type of question should you answer to earn the highest number of points?
4. A toy manufacturer makes a $3 profit on yo-yos and a $3 profit on tops. For a specific order department A requires 10 hours to make parts for yo-yos and 20 hours to make parts for tops. For the same order, department B needs 20 hours to make parts for yo-yos and 10 hours to make parts for tops. Department A has 60 hours available and department B has 90 hours available. How many yo-yos and tops should be made to maximize the profit? What is the maximum profit?