Packaging Candies: This assignment was retrieved from oame.on.ca Name(s): Write complete solutions in the space provided

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Packaging Candies: This assignment was retrieved from oame.on.ca Name(s): Write complete solutions in the space provided. Include well labeled diagrams. Show all calculations and write concluding statements. Be neat. You are applying for a job with The N&N Kandy Company's packaging department. As part of the application process the company has requested that you prepare a report suggesting possible packaging alternatives for their candies. The company has indicated that the package must contain 500 candies, each having a volume of 0.4cm In addition to the size, the material cost is a consideration for the department What is the necessary volume of each package of candies? Part 1 - Containing the Candies You are told that the package will either be a rectangular prism, a right isosceles triangular prism or a cylinder. You must design one container for the 500 candies for each of these 3-D shapes with the requirement that they can be any dimensions as long as the height of the package is more than the width of the package. Your design must include a 3-D sketch labelled with the appropriate dimensions, the volume calculation to verify the package is the correct size, the surface area calculation, and the cost calculation. You can paste pictures of your written work in the table if you would like Noles. The material for the packaging costs $0.0005/cm". All costs must be rounded to the nearest tenth of a cent. Rectangular Prism 3-D Sketch Volume Calculation Surface Area Calculation Cost:
Right Isosceles Triangular Prism 3-D Sketch Volume Calculation Surface Area Calculation Cost: Cylinder 3-D Sketch Volume Calculation Surface Area Calculation Cost:
Part 2 - Optimizing the Package Now you must make sure that you design a package that optimizes the volume to give the lowest cost. You need to calculate the best dimensions for the rectangular prism and the cylindrical packages. If you want a challenge (and more marks) try to find the best dimensions for the right isosceles triangular prism. You must include all of the requirements from part 1 for these new calculations Rectangular Prism Hint: What is special about the rectangular prism that minimizes surface area? Calculation of dimensions for 3-D Sketch OPTIMAL rectangular prism Cost Cylinder Hint: What is special about the cylinder that minimizes surface area? Calculation of dimensions for OPTIMAL cylinder 3-D Sketch Cost:
4 of 6 Right isosceles triangular prism OPTIONAL Calculation of dimensions for OPTIMAL peam 3D Sketch The company was impressed in your first mission and would like you to the Investigate packaging solutions for the candies Part 3 - Keeping The Material Costs Low The NaN Kandy Company would now the you to choose the cylinder or rectangle based on as a shape for her container. The container you choose should be hon Desthetically pleasing and to keep the material collow. Your choice must be justified so your report must nclude calculations for the optimal surface area of all shapes Once you have complete al calculations, give your recommendation for which she the company should use for renew NAN Kandys package and its dimensions Ghe Detailed reportering your findings and what you recommend for the con Report Part 4 - Another option to consider The American arm of the company has found that they can get the same material to make the package for 50 0033 (CAD) Calculate the cost of packaging for the container you chose. Which ople will you recommend they go with?