Determine the intervals on which the function is increasing, decreasing, and constant.
A. Increasing on (-?, -2); Decreasing on (-2, ?)
B. Increasing on (-?, -2); Decreasing on (-?, -2)
C. Increasing on (-2, ?); Decreasing on (-2, ?)
D. Increasing on (-2, ?); Decreasing on (-?, -2)
Answer: A
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A chair company produces two models of chairs, the Sequoia and the Saratoga. The Sequoia model takes 3 hours to assemble and hour to paint. The Saratoga model takes 2 hours to assemble and 1 hour to paint.The maximum number of hours available to assemble is 24 per day and the maximum number of hours available to paint is 8 per day.
(a)If the company earns a profit of $20 per Sequoia model and $30 per Saratoga model, find the number of models produced per day in order to maximize profit. (b)If the company earns a profit of $30 per Sequoia model and $15 per Saratoga model, find the number of models produced per day in order to maximize profit. (c)Suppose the company decides to upgrade the two models so it takes an additional 2 hours to detail the Sequoia and 2 hours to detail the Saratoga. The maximum number of hours available to detail is 18 per day. If the company earns a profit of $45 per Sequoia model and $35 per Saratoga model, find the number of models produced per day in order to maximize profit. (d)Suppose the company decides to upgrade the two models so it takes an additional 2 hours to detail the Sequoia and 2 hours to detail the Saratoga. The maximum number of hours available to detail is 18 per day. If the company earns a profit of $30 per Sequoia model and $40 per Saratoga model, find the number of models produced per day in order to maximize profit.