Let C(x) be the cost to produce x batches of widgets, and let R(x) be the...
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Let C(x) be the cost to produce x batches of widgets, and let R(x) be the revenue in thousands of dollars. Complete parts (a) through (d) below. R(x)= x² +6x, C(x)=x+4 Identify the vertex of R(x). The vertex of R(x) is at. (Type an ordered pair. Simplify your answer.) Identify the y-intercept of C(x). The y-intercept of C(x) is at y = (Simplify your answer.) Graph both functions. Use the graphing tool to graph the functions. Click to enlarge graph (b) Find the minimum break-even quantity. Using the expressions -x² + 6x and/or x +4, identify an equation to be solved in order to find the minimum break-even quantity. (Type an equation.) The minimum break-even quantity is (Simplify your answer.) (c) Find the maximum revenue. How can the maximum revenue be found? (d) Find the maximum profit. Let P(x) be the profit in thousands of dollars. Identify an expression in terms of x for P(x). P(x) = The maximum profit is (Simplify your answer.) Let C(x) be the cost to produce x batches of widgets, and let R(x) be the revenue in thousands of dollars. Complete parts (a) through (d) below. R(x)= x² +6x, C(x)=x+4 Identify the vertex of R(x). The vertex of R(x) is at. (Type an ordered pair. Simplify your answer.) Identify the y-intercept of C(x). The y-intercept of C(x) is at y = (Simplify your answer.) Graph both functions. Use the graphing tool to graph the functions. Click to enlarge graph (b) Find the minimum break-even quantity. Using the expressions -x² + 6x and/or x +4, identify an equation to be solved in order to find the minimum break-even quantity. (Type an equation.) The minimum break-even quantity is (Simplify your answer.) (c) Find the maximum revenue. How can the maximum revenue be found? (d) Find the maximum profit. Let P(x) be the profit in thousands of dollars. Identify an expression in terms of x for P(x). P(x) = The maximum profit is (Simplify your answer.)
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