Let R(x), C(X), and P(x) be, respectively, the revenue, cost, and prot, in dollars, from the production and sale ofx items. If R(x) =8x and C(x) =0.Ut)3x2 +1.5x+ 50, nd each ofthe following. a) P(X) b) R(50), C(50), and P(50) c) R'(x), C'(x), and P'(x) d) R'(50), C'(50), and P(50) a) P(X) = (Use integers or decimals for any numbers in the expression.) b) R(50) =$ (Type an integer or a decimal.) C(50) = $ (Type an integer or a decimal.) P(50) = $ (Type an integer or a decimal.) c) R'(x) = (Type an integer or a decimal.) C'tx) = (Use in egers or decimals for any numbers in the expression.) P'(X) = (Use integers or decimals for any numbers in the expression.) d) R'(50) = $ per item (Type an integer or a decimal.) C'(50) = $ per item (Type an integer or a decimal.) P'(50) =$ per item (Type an integer or a decimal.) Consider the graph to the right. Explain the idea of a critical value. Then determine which x-values are critical values, and state why. What is the idea of a critical value? A. Critical values are x-values where relative extrema may occur. B. Critical values are y-values where relative extrema may occur. C. Critical values are the y-values of relative extrema. D. Critical values are x-values where relative extrema occur. Which x-values are critical values? .A. X1, X3, X4, X5, X6, X7, X8, and X10 because the slopes of the tangent lines at these points are 0 or do not occur. B. All x-values are critical values because they all occur at relative extrema or where the slopes of the tangent lines do not exist. C. X1, X3. X5, X6. Xg, and X10 because relative extrema occur at these points. D. x4 and X7 because a corner exists at these x-values