A carpenter plans to make a rectangular wooden box with no lid (that is, open on its top side) and with a capacity of 108 cubic metres. The necessary wood costs £??/??. Using a Lagrangian, find the dimensions of the box that will minimise the total price paid for wood, and that price

Elementary Geometry For College Students, 7e
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Chapter9: Surfaces And Solids
Section9.1: Prisms, Area And Volume
Problem 37E: Zaidah plans a raised flower bed 2 ft high by 12 ft wide by 15 ft long. The mulch, soil, and peat...
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A carpenter plans to make a rectangular wooden box with no lid (that is, open on its top side) and with a capacity of 108 cubic metres. The necessary wood costs £??/??. Using a Lagrangian, find the dimensions of the box that will minimise the total price paid for wood, and that price

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