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Mathematics LibreTexts

14. Solving Linear Programming Problems

  • Page ID
    26458
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    The following topics are included in this series of two videos.

    1. Solving the linear programming problem in video 1 in Chapter 13.
    2. Solving the linear programming problem in video 2 in Chapter 13.

     

     

     

    Prework

    1. A florist makes 2 special bouquets. Both types consist of Japanese irises and tulips. Type I consists of 1 dozen tulips and 1 dozen Japanese irises. Type II consists of 2 dozen tulips and 4 dozen Japanese irises. The profit on each Type I bouquet is $8 and the profit on each Type II bouquet is $18. The florist knows that they sell at least 8 Type I bouquets each day, so they always make at least 8 of these each day. There are only 60 dozen tulips and 100 dozen irises available each day. How many of each type of bouquet should the shop make each day to maximize profit? 

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