please show work.

Pregunta 9 0.5 puntos Postal regulations specify that a parcel sent by parcel post may have a combined length and girth of no more than 167 inches. Find the diamension of a cylendrical package of greatest volume that can be sent throught the mail. What is the volume of such a package? Hint: The length plus the grith is 2ur+/. 167 A 167 4,657,463 3 7 3 in.; V= . in. 3 27 TC 151 B 167 -in :;l = 4,657,463 3 n 3 in.; V= in. 3 27 n 167 C 167 27,889 7'= - incl = , 3 3 TC 3 in .; V = 27 n 151 D 167 27,889 7= - inqql= 3 T 3 -in . ; V = in 3 27 IT 167 E 151 - inq= 4,657,463 7= 3 TC 3 -in.; V = - in 3 27 TTPregunta 10 An auxiliary electric power station will serve three communities, A, B, and C, whose relative locations are shown in the accompanying figure. Determine where the power station should be located ifthe sum of the squares of the distances from each community to the site is minimized. Please round the answer to the nearest hundredth. (133,053) . (143,033) (033,033) (0.33,o.73) (143,013) Pregunta 11 The total daily revenue (in dollars) that Weston Publishing realizes in publishing and selling its English-language dictionaries is given by Roy) = 0.007;:2 0.003y2 0.002xy + 207: + 15y where x denotes the number of deluxe copies and y denotes the number of standard copies published and sold daily. The total daily cost of publishing these dictionaries is given by C(xay) = 6x +3y+200 dollars. Determine how many deluxe copies and how many standard copies Weston should publish each day to maximize its prots. Please round the answers to the nearest integerWhat is the maximum prot realizable? Please round the answer to the nearest dollar. 750 deluxe copies, 1,505 standard copies: $15,550 62? deluxe copies, 1,505 standard copies: $17,906 62? deluxe copies, 1,505 standard copies: $10,963 627 deluxe copies, 1,750 standard copies: $10,963 750 deluxe copies, 1,750 standard copies: $15,550 Pregunta 12 0.5 puntos Find the critical point(s) of the function. Then use the second derivative test to classify the nature of each point, if possible. Finally, determine the relative extrema of the function. f(x, y) = x3 - 4xy + 42 + 2 A (0, 0) and 3 3 ; saddle point: f(0, 0) = 2; relative minimum value: 1( 3.3 = 127 23 B (0, 0) and 3 ; saddle point: f(0, 0) = 2; relative maximum value: 3 W / N W N 27 C 23 3 3 and (0, 0); relative minimum: 27 ; relative maximum value: f(0, 0) = - 2 D there are no critical points