Question

Asked Nov 27, 2019

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A company plans to manufacture a rectangular bin with a square base, an open top, and a volume of 800 cm3. The cost of the material for the base is 0.1 cents per square centimeter, and the cost of the material for the sides is 0.5 cents per square centimeter. Determine the dimensions of the bin that will minimize the cost of manufacturing it. What is the minimum cost?

Step 1

According to the given information:

**Let length of the rectangular bin be ‘x’ cm**

**Breadth of rectangular bin = ‘x’ cm**

**Height of rectangular bin = ‘y’ cm**

**Volume = 800 cm ^{3}**

So,

Step 2

**Cost of material for base = 0.1 cents per square centimeters**

**Cost of material for sides = 0.5 cents per square centimeters**

So, the total cost for rectangular bin TC is:

Step 3

Now, to minimize the cost use sec...

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