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Allouette Shipping Company has a peculiar fee schedule. When determining the price to ship a rectangular box, they measure the girth plus the length and multiply the result by $0.55. For a box with a square cross- section (measuring 3 inches to a side) and costing $220 to ship, the function V(:c) = 32(400 4.1:) gives the volume of the box (in cubic inches). Find the values of a: that are physically possible for such a box (called the relevant domain). Enter your answer as an interval with open parentheses: Use the first derivative to determine where the function V(:o) is decreasing (within the relevant domain). Enter your answer as an interval with open parentheses: Use the second derivative to determine where the function V(a:) is concave up (within the relevant domain). Enter your answer as an interval with open parentheses: Find the maximum volume we can ship for 5220 (having square cross-section). cubic inches