‘WATERWORLD BEVERAGE CAN’. GROUP’S MEMBERS NOR AINI MAT SAMAN NUR HANISAH ABDULLAH NOOR IZZATI TARMIZI INTAN IZAZI CHE ANI. Task. As production manager of Waterworld Industry, you need to carry out an investigation on how to minimize the cost of material and hence maximize the profit.
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‘WATERWORLD BEVERAGE CAN’
NOR AINI MAT SAMAN
NUR HANISAH ABDULLAH
NOOR IZZATI TARMIZI
INTAN IZAZI CHE ANI
As production manager of Waterworld Industry, you need to carry out an investigation on how to minimize the cost of material and hence maximize the profit.
As production manager of Waterworld Industry, we need to determine the dimension of a can that make the minimize cost of materials.
To find the radius and the height of the cylindrical can when its total surface area is minimum.
We know that can is a cylinder, so the formula of cylinder is :
We let the volume of the cylinder is 1.5L, so we can find the h
We substitute value of h into formula of surface area A,
We need to differentiate A to find the critical value
We need to equal the first differentiate with 0 to find the value of r
We need to do second derivative to test either the value of r will give the minimum or maximum surface area
If we get >0, its mean the value of r will get the minimum surface area.
So we can find the value of h by substitute value of r
So we can find the minimum surface area
If we want to make a cylindrical can that hold 1.5 L of liquid, we need to use 6.2 cm for radius and 12.42 cm for height hence can minimize the cost of materials.
Area for circle
Area for rectangle