Everyday Second Period room 3 Lawlis
Course Summary
Welcome to the PreCalc wiki. The goal of this course is to give you the Algebra and Trigonometry skills you need to succeed in a college level course in Calculus.
Current Assignment
Chapter 5, Advanced Mathematics problems pages 123 and 149-150
Assignment Week of 4/2
Linear programming problems
1) A company makes two products (X and Y) using two machines (A and B). Each unit of X that is produced requires 50 minutes processing time on machine A and 30 minutes processing time on machine B. Each unit of Y that is produced requires 24 minutes processing time on machine A and 33 minutes processing time on machine B.
At the start of the current week there are 30 units of X and 90 units of Y in stock. Available processing time on machine A is forecast to be 40 hours and on machine B is forecast to be 35 hours. The demand for X in the current week is forecast to be 75 units and for Y is forecast to be 95 units. Company policy is to maximise the combined sum of the units of X and the units of Y in stock at the end of the week.
- Formulate the problem of deciding how much of each product to make in the current week as a linear program.
- Solve this linear program graphically.
2) A carpenter makes tables and chairs. Each table can be sold for a profit of £30 and each chair for a profit of £10. The carpenter can afford to spend up to 40 hours per week working and takes six hours to make a table and three hours to make a chair. Customer demand requires that he makes at least three times as many chairs as tables. Tables take up four times as much storage space as chairs and there is room for at most four tables each week.
Formulate this problem as a linear programming problem and solve it graphically.
3) Joe assembles two types of cameras, the excelerio and the premerio. His cost of assembling these cameras is $21.00 and $42.00 respectively. The total funds available for his use are $1,260.00. It takes 5 hours to assemble an excelerio and 2 hours to assemble a premerio. He can work for no more than 100 hours. If the profit on the two kinds of cameras is $8.00 and $10.00 respectively, determine how many cameras of each kind Joe should assemble to earn maximum profit.
Challenge:
Excel supports an LP Solver, the website below has a instructions for how to use it and an example to make sure you have done it correctly. If you have access to excel, try it out, and help me figure out how I can make the Solver restrict istself to integer solutions... You'll be my hero and you will find it very useful when you run into these problems in college... Mrs. L
http://www.economicsnetwork.ac.uk/cheer/ch9_3/ch9_3p07.htm
Syllabus
http://sdhsprecalc.pbwiki.com/Syllabus
Skill Check Status
latest:
May 17 skill check update.xls
May 9 skill check.xls
May 3 skill.xls
to check your grades see below
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Grade Q3 |
| 559139 |
1 |
0 |
1 |
0 |
0 |
1 |
1 |
1 |
1 |
0 |
6 |
85 |
| 512118 |
1 |
1 |
1 |
1 |
1 |
1 |
1 |
1 |
1 |
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9 |
98 |
| 486007 |
1 |
1 |
0 |
1 |
0 |
1 |
1 |
0 |
0 |
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5 |
80 |
| 471007 |
1 |
1 |
0 |
0 |
0 |
1 |
1 |
0 |
1 |
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5 |
80 |
| 469008 |
1 |
1 |
1 |
1 |
1 |
1 |
1 |
0 |
0 |
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7 |
90 |
| 468007 |
1 |
1 |
0 |
0 |
0 |
0 |
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0 |
0 |
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2 |
70 |
| 467008 |
1 |
1 |
1 |
1 |
1 |
0 |
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0 |
0 |
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5 |
80 |
| 465007 |
1 |
1 |
1 |
1 |
1 |
0 |
1 |
0 |
0 |
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6 |
85 |
| 458008 |
0 |
0 |
0 |
1 |
0 |
0 |
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0 |
0 |
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1 |
70 |
| 457007 |
1 |
1 |
1 |
1 |
1 |
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1 |
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1 |
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8 |
93 |
| 456007 |
1 |
1 |
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98 |
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85 |
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8 |
93 |
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8 |
93 |
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1 |
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4 |
75 |
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93 |
| 429007 |
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1 |
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7 |
90 |
| 425008 |
1 |
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93 |
| 416008 |
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98 |
| 413007 |
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|
9 |
98 |
| 412008 |
1 |
1 |
1 |
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0 |
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7 |
90 |
| 411008 |
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1 |
1 |
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9 |
98 |
Teacher Contact info:
jhlawlis@gmail.com
jlawlis@msad56.org
Outside Resources
http://msad56.org/agilemind.com/
http://collegeboard.com/satonlinecourseschool/
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