please anwer step by step The design department of a shipping company is constructing a box in the foof a rectangular prism. The base length is twice the base width. The matto build the top and the bottom costs $9 / m². The material to build the sidescosts $6 / m?. The required volume is 70 m³. All dimensions (length, widthand height) must be at least one metre long.Determine the dimensions of the box (to the nearest cm) that will minimizethe production cost. What is the minimum cost?

The design department of a shipping company is constructing a box in the fo of a rectangular prism. The base length is twice the base width. The mat to build the top and the bottom costs $9 / m². The material to build the sides costs $6 / m². The required volume is 70 m³. All dimensions (length, width and height) must be at least one metre long. Determine the dimensions of the box (to the nearest cm) that will minimize the production cost. What is the minimum cost?

The design department of a shipping company is constructing a box in the fo of a rectangular prism. The base length is twice the base width. The mat to build the top and the bottom costs $9 / m². The material to build the sides costs $6 / m². The required volume is 70 m³. All dimensions (length, width and height) must be at least one metre long. Determine the dimensions of the box (to the nearest cm) that will minimize the production cost. What is the minimum cost?

Mathematics For Machine Technology

8th Edition

ISBN:9781337798310

Author:Peterson, John.

Publisher:Peterson, John.

Chapter59: Areas Of Rectangles, Parallelograms, And Trapezoids

Section: Chapter Questions

Problem 79A

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