6. Let C'(x) = 2x+5 be the cost to produce x batches of widgets, and let...

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6. Let C'(x) = 2x+5 be the cost to produce x batches of widgets, and let R(x) = −x²+8x be the revenue in thousands of dollars. (a) Find the minimum break-even quantity. (b) Find the maximum revenue. (c) Find the maximum profit. (d) Graph C(x) and R(x) on the same axes. For the graph of R(x), indicate all the intercepts and the vertex. 6. Let C'(x) = 2x+5 be the cost to produce x batches of widgets, and let R(x) = −x²+8x be the revenue in thousands of dollars. (a) Find the minimum break-even quantity. (b) Find the maximum revenue. (c) Find the maximum profit. (d) Graph C(x) and R(x) on the same axes. For the graph of R(x), indicate all the intercepts and the vertex.