+ Adulte Com 4. Consider the following LP: max Z = 40 +-23 x +32 56...
Q4. (Sensitivity Analysis: Adding a new constraint) (3 marks) Consider the following LP max z= 6x1+x2 s.t.xi + x2 S5 2x1 + x2 s6 with the following final optimal Simplex tableau basis x1 r2 S2 rhs 0 0 18 0.5 0.5 0.5 0.5 x1 where sı and s2 are the slack variables in the first and second constraints, respectively (a) Please find the optimal solution if we add the new constraint 3x1 + x2 S 10 into the LP (b)...
SOLVE STEP BY STEP! 4. Consider the following LP: Minimize z = x; +3x2 - X3 Subject to x + x2 + x2 > 3 -x + 2xz > 2 -x + 3x2 + x3 34 X1 X2,43 20 (a) Using the two-phase method, find the optimal solution to the primal problem above. (b) Write directly the dual of the primal problem, without using the method of transformation. (c) Determine the optimal values of the dual variables from the optimal...
1. Consider the following LP: Max z 5x1 X2 st. 2x1 xS6 6x1X2S 12 Plot the constraints on the graph and identify the feasible region and determine the optimal value of the objective function and the values of the decision variables. 2. Priceler manufactures sedans and wagons. The number of vehides that can be sold each of the next three months are listed to Table 1. Each sedan sells for $10000 and each wagon sells for $11000. It cost $7000...
M4_A5. Porter Investments needs to develop an investment portfolio from the following list of possible investments COST ($) INVESTMENTS EXPECTED RETURN ($) A 1,700 15,000 17,000 1,850 8,500 1,400 10,000 1,500 E 13,500 1,750 13,000 1,650 9,000 1,500 H 9,500 1,700 The client can invest up to $100,000. The following conditions should be met: (1) If investment C is chosen, then investment D must also be part of the portfolio, (2) at least four investments should be chosen, (3) of...
Probs. 3-4-5 refer to the following problem and its complete solution Max . Z 4x1 + 6x2 + 3x3 + x+ ?2x1 + 2x2 + 4x3 + 3x+ 550 (x5) 2x1 + 3x2 + x3 + 2x‘ S 20O (x7) R.S 4-6 -31 /4 3 1 550 700 200 0 o1 3 o 2 Z O 400 2/11 1/12/10 o 1/11 662 / ง 9 525 2 /20 425 2/ 25 1/2-1/10 13/20 1 0 。 3a. Read off the...
please help 1. Consider the sample given below. Find the following information. 16 32 40 52 19 34 43 54 20 35 46 57 21 35 46 62 23 35 46 23 36 48 27 39 50 A. 1 B. Range = C. Midrange D. Mode = E. Class width if we wish to have 5 classes = F. How many numbers are strictly below 50? G. What percent of data are strictly below 50? H. Make a complete frequency...
4. Chemical Reaction: Consider the following chemical equation: Where x , y , z ,u and v are the numbers of molecules of NH3 , , H, , H,0 and . respectively, to be determined. [Here, a molecule with the symbol NH indicates that it contains 1 atom of the element N and 3 atoms of the element H. Similar interpretation applies to the other molecules in the equation.] Given that the total number of atoms for each of the...
2) Buster Sod operates a 1200-acre irrigated farm in the Red River Valley of Arizona. Sod's principal activities are raising wheat, alfalfa, and beef. The Red Valley Water Authority has just given its water allotments for next year (Sod was allotted 2000 acre-feet) and Sod is busy preparing his production plan for the next year. It figures that beef prices will hold at around $600 per ton and wheat will sell at $1.60 per bushel. Best guesses are that it...
#5 urgent need now Linear Programming: 4. Kings Department Store has 625 nubies, 800 diamonds, and 700 emeraids from which they will make bracelets and necklaces that they have advertised in their Christmas brochure. Each of the rubies is approximately the same size and shape as the diamonds and the emeralds Kings will net a profit of S250 on each bracelet, which is made with 2 nubies, 3 diamonds, and 4 emeralds, and $500 on each necklace, which includes 5...
4. The following frequency table shows the test score distribution for a random sample of 25 students taking an introductory statistics class at a certain college. a. Find the missing relative frequency b. How many students in the sample RelativeF 0.08 0.04 Score 30-40 41-51 52-62 63-73 74 -84 85-95 had a score of at least 63? Total number of students taking an introductory statistics class at this college is 800. Based on the sample data above, estimate the total...