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7. A rectangular storage container with an open top is to have a volume of 10...

7. A rectangular storage container with an open top is to have a volume of 10 cubic meters. The length of the base is twice the width. Material for the base costs $22 per square meter. Material for the sides costs $15 per square meter. Suppose you want to find the cost of the materials for the cheapest such container.

(a) Sketch and label a picture of the storage container.

(b) What is the constraint equation?

(c) What quantity are you trying to optimize?

(d) Find the cost of the materials for the cheapest such container. Round your final answer to the nearest cent

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