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Develop a formula for the cost of the box

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Reference no: EM132260283

1. Modelling Your company is going to make its own boxes!

It has been decided the box should hold 0.20m3 (0.20 cubic meters which is equal to 200 litres) of nuts and bolts.

The box should have a square base, and double thickness bottom.

Cardboard costs $0.47 per square meter.

It is up to you to decide the most economical shape and size. (Except that the base must be square.)

You must show how you have developed a model to decide the most economical size. In this assignment it is suggested that you follow the following steps

(a) Draw a sketch of your box, and a sketch of a net from which your box can be constructed.

(b) Make a formula for the volume and surface area of your box

(c) Develop a formula for the cost of the box using the area and volume

(d) Draw a graph of the cost of the box using the y-axis as the cost and x-axis as the width of the base.

Remember to include enough information to show us how you drew your graph. Include either the points you plotted, or the formula and drawing package used if you found the graph electronically.

(e) Use the graph to determine the minimum cost, width and height of the box

(f) What are your recommendations for the shape and dimensions of the box?

Any references should be cited in APA referencing format.

Verified Expert

This assignment was a modelling concept question wherein the requirement was to decide shape and size of the box to manufactured by the company such that box covers a given volume and the entire cost to manufacture the box becomes as less as possible. These kind of problems helps companies in decision making and profit optimization. The requirement of finding the shape from graph is infact a lengthy process and we can find our solution even without the graph. However, graph gives a clear pictorial view to the solution. This method can be used to compare any possible shape and conclude our solution accordingly..

Reference no: EM132260283

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len2260283

3/18/2019 4:17:06 AM

Note Students who have sufficient background to have other strategies to approach this problem may do so. But they should graph the cost against width to confirm their calculations. this is just a university assignment, Due: Monday 18th 11.59pm This must be your own work. part a has already been done, thanks

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