A Rectangular Storage Container with an Open Top Is to Have

question 197

Essay

A rectangular storage container with an open top is to have a volume of 10 m $3$ : The length of its base is twice the width. Material for the base costs $10 per square meter. Material for the sides costs $6 per square meter. Find the dimensions of the container needed to minimize the cost.

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Definitions:

Arrested Growth

A condition where development or growth is stopped or severely slowed, often due to genetic, environmental, or nutritional factors.

Calcium Consumption

The intake of calcium, a vital mineral for bone health, through diet or supplements.

Neolithic Food Storage

Methods developed during the Neolithic era to store food, enabling the transition from nomadic lifestyles to settled communities.

Stone-Lined

Pertaining to structures or surfaces lined or edged with stones, commonly used in reference to ancient constructions or natural formations.