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Do This Problem Right Now

Do This Problem Right Now. Given Find the minimum and maximum for equation,. (0, 8). (0, 2). (2, 0). (4, 0). Section 3.4, Revised 2011. LINEAR PROGRAMMING Day 2. Steps for solving Real Life Linear Programming Problems. Solve List all of your restraints

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Do This Problem Right Now

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  1. Do This Problem Right Now • Given Find the minimum and maximum for equation, (0, 8) (0, 2) (2, 0) (4, 0)

  2. Section 3.4, Revised 2011 LINEARPROGRAMMINGDay 2

  3. Steps for solving Real Life Linear Programming Problems • Solve • List all of your restraints • Determine your Objective Equation (usually dealing with Profit) • Find the x-intercept (y=0)and they-intercept (x =0)Use Cover-up methodto determine the intercepts • Use Elimination/Substitution to determine the intersection points of the 2 equations • Check

  4. Example 1 A grocer buys cases of almonds and walnuts. Almonds are packaged 20 bags per case. The grocer pays $30 per case of almonds and makes a profit of $17 per case. Walnuts are packaged 24 bags per case. The grocer pays $26 per case of walnuts and makes a profit of $15 per case. He orders no more than 300 bags of almonds and walnuts together at a maximum cost of $400. Use x for cases of almonds and y for cases of walnuts.

  5. Example 1 A grocer buys cases of almonds and walnuts. Almonds are packaged 20 bags per case. The grocer pays $30 per case of almonds and makes a profit of $17 per case. Walnuts are packaged 24 bags per case. The grocer pays $26 per case of walnuts and makes a profit of $15 per case. He orders no more than 300 bags of almonds and walnuts together at a maximum cost of $400. Use x for cases of almonds and y for cases of walnuts. X = Cases of Almonds Y = Cases of Walnuts

  6. Example 1 A grocer buys cases of almonds and walnuts. Almonds are packaged 20 bags per case. The grocer pays $30 per case of almonds and makes a profit of $17 per case. Walnuts are packaged 24 bags per case. The grocer pays $26 per case of walnuts and makes a profit of $15 per case. He orders no more than 300 bags of almonds and walnuts together at a maximum cost of $400. Use x for cases of almonds and y for cases of walnuts. X = Cases of Almonds Y = Cases of Walnuts (0, 12.5)Using Cover Up (9, 5) Using Elimination (0, 0) (13.3, 0) Using Cover Up

  7. Example 1 A grocer buys cases of almonds and walnuts. Almonds are packaged 20 bags per case. The grocer pays $30 per case of almonds and makes a profit of $17 per case. Walnuts are packaged 24 bags per case. The grocer pays $26 per case of walnuts and makes a profit of $15 per case. He orders no more than 300 bags of almonds and walnuts together at a maximum cost of $400. Use x for cases of almonds and y for cases of walnuts. X = Cases of Almonds Y = Cases of Walnuts

  8. Example 1 A grocer buys cases of almonds and walnuts. Almonds are packaged 20 bags per case. The grocer pays $30 per case of almonds and makes a profit of $17 per case. Walnuts are packaged 24 bags per case. The grocer pays $26 per case of walnuts and makes a profit of $15 per case. He orders no more than 300 bags of almonds and walnuts together at a maximum cost of $400. Use x for cases of almonds and y for cases of walnuts. X = Cases of Almonds Y = Cases of Walnuts How many cases of almonds and walnuts maximize the grocer’s profit? The grocer should buy 9 cases of almonds and 5 cases of walnuts to have a maximum profit of $228.

  9. Example 2 A school is preparing a trip for 400 students. The company who is providing the transportation has 10 buses of 50 seats each and 8 buses of 40 seats, but only has 9 drivers available. The rental cost for a large bus is $800 and $600 for the small bus. Calculate how many buses of each type should be used for the trip for the least possible cost.

  10. Example 2 A school is preparing a trip for 400 students. The company who is providing the transportation has 8 small buses of 40 seats each and 10 big buses of 50 seats each but only has 9 drivers available. The rental cost is for $600 for the small bus and $800 for a large bus . Calculate how many buses of each type should be used for the trip for the least possible cost. X = Small Buses Y = Big Buses Big Buses Small Buses

  11. Example 2 A school is preparing a trip for 400 students. The company who is providing the transportation has 8 small buses of 40 seats each and 10 big buses of 50 seats each but only has 9 drivers available. The rental cost is for $600 for the small bus and $800 for a large bus . Calculate how many buses of each type should be used for the trip for the least possible cost. X = Small Buses Y = Big Buses (0, 9)Using Cover Up Big Buses (0, 8)Using Cover Up (5, 4) Using Elimination Small Buses

  12. Example 2 A school is preparing a trip for 400 students. The company who is providing the transportation has 8 small buses of 40 seats each and 10 big buses of 50 seats each but only has 9 drivers available. The rental cost is for $600 for the small bus and $800 for a large bus . Calculate how many buses of each type should be used for the trip for the least possible cost. X = Small Buses Y = Big Buses

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