Each day Larry needs at least 10 units of vitamin A, 12 units of vitamin B, and 20 units of vitamin C. Pill #1 contains 4 units of A and 3 of B. Pill #2 contains 1 unit of A, 2 of B, and 4 of C. Pill #3 contains 10 units of A, 1 of B, and 5 of C. 14) Pill #1 costs 6 cents, pill #2 costs 7 cents, and pill #3 costs 1 cent. How many of each pill must Larry 14) take to minimize his cost? A) P1 = 2, P2 = 0, P3 = 6 B) P1 = 1, P2 = 0, P3 =9 C) P1 = 3, P2 = 0, P3 = 4 D) P1 = 0, P2 = 0, P3 = 12 A workshop of Peter's Potters makes vases and pitchers. Profit on a vase is $3, profit on a pitcher is $4. Each vase requires hour of labor, each pitcher requires 1 hour of labor. Each item requires 1 unit of time in the kiln. Labor is limited to 4 hours per day and kiln time is limited to 6 units per day. Initial and final tableaux are shown in finding the production plan that will maximize profits: (x = the number of vases and y = the number of pitchers made per day). x y u v M [0 1 2 -1 0 2] 10 -2 2 0 4 0 0 2 2 1 20 x y u v M 1 1 10 0 2 1 10 1 06 -3 -4 0 0 10] (initial) (final) 15) 15) How much surplus kiln time is available when the optimal plan is in effect? A) 4 units B) 1 unit C) 0 units D) 2 units E) none of these 16) If kiln time were decreased by one unit a day, determine the optimal production schedule. A) x = 3, y = 4 B) x = 6, y = 1 C) x = 2, y = 3 D) x = 4, y = 2 E) none of these 16) In a linear programming problem in standard form, the initial and final tableaux are given below. x y u v M 3 ol 1 0 2 0 20 x y u v M 1 3 10 0 50] 150 1 0 70o |-6 -24 0 0 1 O 1 0 1 - 1 10 00 3 3 1 360 (initial) (final) 17) We wish to add h units to the first resource (originally at level 50). What are the limits on the size of 17) h so that the solution can still be read from the final tableau? A) -120 shs 8 B) -8 shs 20 C) -5 shs 120 D) 5shs 8