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13. For the cost and price functions below, nd {a} the number. q, of units that produces maximum profit: (b) the price. p. in dollars per unit that produces maximum profit: and (c) the maximum prot, P, in dollars. C(q}=4o+5q e '0'qu; p=1D e 'o-m\" Find the prot function, P. Piq) = (a) The number. q. of units that produces maximum prot is q = . (Do not round until the nal answer. Then round to the nearest whole number as needed.) (b) The price. p. per unit that produces maximum prot is p = $ . (Do not round until the nal answer. Then round to the nearest cent as needed.) (c) The maximum profit is P = $ . (Do not round until the nal answer. Then round to the nearest cent as needed.) ID: Bus Econ 5.2.45 14. Let f{x) = In x. a. Compute x). f\"{x). r'\"(x), 1mm. and @{x}. b. Determine a formula for 1"\")(x). where n is any positive integer. a. f'(x) = .f\"(x) = ,f'\"(x)= . 1(4) (x): . and 14530:} = Choose the correct answer below. b. Determine a formula for 1"\")(x). where n is any positive integer. {1)"'1{n-1): Xn-l O A. 1"\"){x} = (-1}"'1(n1)! _n o 3. Wm: X o c. r(\"3(x)=(1)"'1(n1)!x\" { 1}"(n 1}! xn o o. 1"\") {x} = 15. Find the open intervals where the function is concave upward or concave downward. Find any inflection points. f(x)=3x2-2x+3 Where is the function concave upward and where is it concave downward? Select the correct choice below and. if necessary, ll in the answer box(es} to complete your choice. CA. The function f is concave downward on the open interval{s} concave upward on the open interval(s) (Type your answers in interval notation. Use integers or fractions for any numbers in the expression. Use a comma to separate answers as needed.) . The function f is concave downward everywhere. . The function f is concave upward everywhere. . The function f is neither concave downward nor concave upward. and the function is Find any inflection points of f. Select the correct choice below and, if necessary, ll in the answer box to complete your choice. 0A. The function f has inection points at (Simplify your answer. Type an ordered pair. Use integers or fractions for any numbers in the expression. Use a comma to separate answers as needed. ) OB. ID: 5.3.35 16. Identify each labeled x-coordinate as the location of an absolute maximum, absolute minimum, or neither. (1} occurs at x1. (2} occurs at x2. {3} occurs at x3. (4) occurs at x4. (1) 0 An absolute minimum 0 An absolute maximum 0 Neither absolute extremum (4) O An absolute minimum 0 An absolute maximum 0 Neither absolute extremum The function f has no inflection points. (2) 0 An absolute minimum 0 An absolute maximum 0 Neither absolute extremum (3) 0 An absolute minimum 0 An absolute maximum 0 Neither absolute extremum