# Case Study: Linear Relationship

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Linear Relationship Introduction: The aim of the linear relationships is to investigate Michael and Tahlia who own a florist shop. They need to increase the sales and utilise stocks to have use of the flowers which are left over to create an assortment of posies. They decide to make a large and small posies of the flowers which are left over each day. For the large posy they used 6 Banksias, 5 Leafy twigs and 4 Wattles were used to make one large posy, which sold for a profit of \$3. Small posy 1 banksia 3 Leafy twigs 7 wattles were also used to make one small posy, which sold for a profit of \$2. Throughout this investigation the profit that was made by Michael and Tahlia will be determined throughout this investigation. Mathematical Investigation:…show more content…
Michael and Thalia found available117 Banksia, 195 Leafy Twigs and 207 Wattle at the end of the day of work. Posy Banksia Leafy Twigs Wattle Profit Large 6 5 4 \$3 Small 1 3 7 \$2 Available 117 195 207 7. Question 4, 5 and 6 how would it change for this feasible region..? This could change the feasible region since the maximum profit that was made by Michael and Thalia was 87 at the end of the day. The wasted amount when making the maximum was 13. Michael and Thalia found out that there were 117 Banksia, 195 Leafy Twigs and 207 wattle at the end of the day. The effect that those results give to the current feasible can change when roles do not apply on the positive area. Analysis/Discussion It was discovered that Michael and Thalia made a maximum profit of 87 and what was wasted at the end of the day was 11. If Michael and Tahlia didn’t have any posies left over, they would have sold it all to gain a high amount of income. The profit that was made each day for the Wattle, Leafy Twig and Banksia was \$29.5771, \$87 and \$0. Conclusion The limitation of the directed investigation Michael and Thalia used were 6 Banksias, 5 Leafy twigs and 4 Wattles for a profit of \$3 for large (x). 1 banksia 3 Leafy twigs 7 wattles with a profit of \$2 for small