The design department of a shipping company is constructing a box in the form of a rectangular prism. The base length is twice the base width. The material to build the top and the bottom costs $9 / m?. The material to build the sides costs $6 / m?. The required volume is 70 m². 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 form of a rectangular prism. The base length is twice the base width. The material to build the top and the bottom costs $9 / m?. The material to build the sides costs $6 / m?. The required volume is 70 m². 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?
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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