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Please help me with these questions, show your work and pls make it clean. 5. [-/1 Points] DETAILS SCALCET9 4.7.021.EP. MY NOTES PRACTICE ANOTHER A

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Please help me with these questions, show your work and pls make it clean.

image text in transcribed
5. [-/1 Points] DETAILS SCALCET9 4.7.021.EP. MY NOTES PRACTICE ANOTHER A rectangular storage container without a lid is to have a volume of 10 m . The length of its base is twice the width. Material for the base costs $20 per square meter. Material for the sides costs $12 per square meter. Let w denote the width of the base. Find a function in the variable w giving the cost C (in dollars) of constructing the box. C(w) = Find the derivative of C. C'(w) = Find the cost (in dollars) of materials for the least expensive such container. (Round your answer to the nearest cent.) $

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