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A sugar refinery can produce x tons of sugar per week at a weekly cost of 0.1)(2 + 2x + 3240 dollars. Find the level of production for which the average cost is at a minimum and determine the average cost and marginal cost at that level of production. The level of production for which the average cost is at a minimum is x = tons. The width of a rectangle is increasing at a rate of 8 inches per second and its length is increasing at the rate of 3 inches per second. At what rate is the area ofthe rectangle increasing when its width is 5 inches and its length is 7 inches? [Hint: Let W(t) and L(t) be the width and length, respectively, at time t.] The rate that the area of the rectangle is increasing is in2 Is. (Simplify your answer.) d f x Suppose that W) and g()() are differentiable functions such that f(2) = 4, H2) = 7, g(2}= 8, and 912): 3_ Find $[] x=2I = (Simplify your answer.) d f(x) ate]