A decision problem has the following three constraints: 70X + 6Y <= 420; 24X + 3Y= 72; and 11X - Y <= 14 . The objective function is Min 17X + 38Y . The objective function value is : a. 338 b. 676 c. unbounded d. infeasible e. 0
Q: Given the following linear program: Max 3x1 + 4x2 s.t. 2x1 + 3x2 0 Identify the feasible…
A: given Max 3x1 + 4x2 s.t. 2x1 + 3x2 < 24 3x1 + x2 < 21 x1, x2 > 0
Q: May I have the linear programming graph (or model) or plot with the given following information? 3…
A: Objective Functions and Constraints: Based on the given details, we found the…
Q: 2 Use the simplex algorithm to find the optimal solution to the following LP: min z = -4x, + x2 s.t.…
A:
Q: Consider the following linear programming problem: Min Z = 6x1 + 4x2 Subject to: 4x1 + 2x2 2 100 2x1…
A: Given LP- Min Z = 6X1+4X2 Subject to Constraints- 4X1+2X2≥100 2X1+3X2≥90X1, X2≥0
Q: Build a linear programming model to develop an investment portfolio that minimizes total risk under…
A: NOTE: WE ARE ONLY ALLOWED TO DO THE FIRST THREE SUB-PARTS AT A TIME. PLEASE POST THE REST QUESTIONS…
Q: Problem 3 Florida Generation owns two generating units with the following cost curve: C, -15+1.4P,…
A: Given, C =15+14P, +0.04P/ Sh. 505P, S150 C, = 25 +16P, +0.02P; /h. 2005 P, S 500
Q: The management of Sunny Skies Unlimited now has decided that the decision regarding the locations of…
A:
Q: iven the following information for a product-mix problem with three products and three resources.…
A: Given,
Q: Consider the following linear programming formulation: Min 5x + 2y Subject to (1)…
A: Note: Since you have posted multiple independent questions in the same request, we will solve the…
Q: The area of a triangle with sides of length a, b, and c iss(s a)(s b)(s c), where s is half the…
A:
Q: DATE: A housewife wishes to mix together tho kinds of food,I and 2, in such a way that the mixture…
A: Given data is, Minimum addition of vitamin A = 10 units Minimum addition of vitamin B = 12 units…
Q: Consider the following transportation problem: To (cost) From 2 Supply A $12 $33 60 IB $50 $53 40…
A: Given- Transportation problem-
Q: Q.3/ Solving a minimization problem, find the minimum value of w=0.12x1+0.15x2 Subject to the…
A:
Q: A company has factories at F1, F2 and F3 which supply to warehouses at W1, W2 and W3. Weekly factory…
A: Table-1 W1 W2 W3 Supply Row Penalty F1 16 20 12 200 4=16-12 F2 14 8 18 160 6=14-8…
Q: (b) Use the simplex method to solve the following LP problem. Maximize, Z = 3x1 +4x2 Subject to 2x1…
A: A small introduction about the simplex method: The simplex approach uses slack variables,…
Q: Find the optimal solution for the following problem. Minimize C = 16x + 15y subject to 6x + 12y 2 19…
A:
Q: A firm has prepared the following binary integer program to evaluate a number of potentia goal is to…
A:
Q: Consider the following set of constraints: 48Y >= 7296; 0.25 X + 12Y >= 1824, and X + Y <= 152. Pick…
A:
Q: Find the optimal solution for the following problem. (I Maximize C = subject to 13x + 3y + 12z 6x +…
A: Create an Excel Model as given Bleow
Q: Consider the following linear program: Max 3A + 3B S.t. 2A + 4B 0 Find the Optimal Solution using…
A: Point X coordinate (A) Y coordinate (B) Value of the objective function (Z) O 0 0 0 A 0 3 9 C…
Q: Consider the followingg linear programming problem: Max 3A + 3B st. 2A + 4B ≤ 12 6A + 4B ≤ 24…
A: There are four extreme points for this solution. They are (0,0), (4,0), (0,3), (3,1.5)
Q: 14
A: Determine the iteration 3 table:As it should follow least cost method, in iteration 1 (given), 0…
Q: max z = 2x1 + 2x2 %3D x¡ + x2 < 6 2x, + x2 < 13 s.a. toda X; 2 0
A: Linear programming (LPP) is subject to linear restrictions. To put it another way, linear…
Q: Suppose a company must service customers lying inan area of A sq mi with n warehouses. Kolesar and…
A:
Q: Q3:A/ Find the solution to the following linear programming problem by dual simplex method Min Z=…
A: It's important to remember that perhaps the conventional (primal) simplex approach is a method that…
Q: Q.3/ Solving a minimization problem, find the minimum value of w=0.12x1+0.15x2 Subject to the…
A: MIN Z = 0.12x1 + 0.15x2subject to60x1 + 60x2 >= 30012x1 + 6x2 >= 3610x1 + 30x2 >= 90and…
Q: Q2. Solve the given LP problem on the right by (LP): Max Z = 2X1 + 4X2 using The Graphical Solution…
A: MAX z = 2x1 + 4x2subject to3x1 + 2x2 <= 12x1 + 2x2 <= 82x1 + x2>= 2and x1,x2 >= 0
Q: A manager must make a decision on shipping. There are two shippers, A and B. Both offer a twoday…
A:
Q: 1A. Write the general dual problem associated with the given LP. (Do not transform or rewrite the…
A:
Q: Determine the distribution for the company so as to minimize the cost of transportation using least…
A: The transportation model is used to calculate the minimum cost of the route by selecting different…
Q: 2) Model the following problem with integer programming. Breezy Airlines is considering the purchase…
A: Let, L = Number of long-range planes to be purchased M = Number of medium-range planes to be…
Q: 5. George Johnson recently inherited a large sum of money; he wants to use a portion of this money…
A: given, 6% for the bond fund 10% stock fund The total return of at least 7.5%
Q: 10
A: The option (c ) represents the correct graphical solution. As the feasible area is bound by the…
Q: 30 50 40 -M -M Solution X1 X2 X3 Si S2 S3 A1 A2 Q Mix -M A1 S2 S3 A2 Zi |CZ 1 -1 0. 0. 1 40 1 1 1 0.…
A: Given simplex table is
Q: Convert into a maximization problem with positive constants on the right side of each constraint,…
A: The question is related to maximizatiin Problem of Linear Programming and the initial table of…
Q: . Solve each of these problems by computer and obtain the optimal values of the decision…
A: Excel model and formula: Solver input: Answer:
Q: 57. A beer company has divided Bloomington intotwo territories. If the company spends x1 dollarson…
A: Given information Territory = 1,2 Total amount available for promotion = 5000Beer Sold Terriotry 1…
Q: Consider the following linear program. 1A-28 15 (a) Graph the feasible region for the problem. B 10…
A: Given LP: Max Z = A - 2BSubject to-Constraint (1):-4A + 3B≤3Constraint (2): A - B≤5Non-negativity…
Q: 3. Consider the following linear program: Min 8X + 12Y s.t. IX + 3Y 9 2X+ 2Y 10 6X + 2Y 18 X, Y 0…
A: Note: - Since we can answer only up to three subparts we will answer the first three(a, b, and c)…
Q: ndetify the constraints that form the fesible region and identify the constraints that are…
A: Redundant constraints are the constraints that will not change the feasible region if they are…
Q: Find the maximum and minimum values of the objective function p = 5x – 6y under the constraints y –…
A:
Q: Consider the followingg linear programming problem: Max 3A + 3B st. 2A + 4B ≤ 12 6A + 4B ≤ 24…
A:
Q: Consider the followingg linear programming problem: Max 3A + 3B st. 2A + 4B ≤ 12 6A + 4B ≤ 24…
A:
Q: Maximize z= 5R+8P Subject to R+3/2P≤900 1/2R+1/3P≤300 1/8R+1/4P≤100 R,P ≥ 0 non-binding…
A: [1] - c. 4≤c1≤12 [2] - b. 10/3≤c1≤10
Q: Consider the followingg linear programming problem: Max 3A + 3B st. 2A + 4B ≤ 12 6A + 4B ≤ 24…
A:
Q: Minimize Z = -5x1 + 4r2 subject to 213 x2 + 4r3 < 3 2x2 + 6x3 < 10 (1) (2) I1 2 0, x2 2 0, x3 2 0.…
A: GivenMIN Z = -5x1 + 4x2 - 2x3subject tox1 - x2 + 4x3 <= 33x1 - 2x2 + 6x3 <= 10and x1,x2,x3…
Q: Optimal solution 4T+3C=240 2T+1C=100 →T=30, C-40 Can you please explain to me the solution and way…
A: Given are the two equations with two variables. So it's easy to solve them through the normal…
Q: An individual wishes to invest PhP 50,000 over the next year in two types of investment: Investment…
A: Below is the solution:-
Step by step
Solved in 5 steps with 4 images
- . A group of students organizes a bake sale in which they sell hundreds of cookies at $1per piece. They set up a table on campus and wait for students to come and purchasetheir cookies. Consider the following variables in this bake sale operation:1. Size of the cookies2. Weather conditions on campus3. Organization of the table4. Number of cookies sold5. Competition from other fund-raisers coinciding on campus6. Amount of advertising and shouting of the students at the bake sale table7. Number of students on campus that dayWhich of these variables is an output variable?a. 3b. 4c. 5d. None of the aboveLPP Model Maximize P = 12x + 10y Subject to : 4x + 3y < 480 2x + 3y < 360 X, y 2 0 Which of the following points (x, y) is feasible? A) ( 120, 10) B ( 30, 100 ) c) ( 60, 90 ) D) ( 10, 120 )Maximize C- 16A + 21B subject to 9A +15B $22 10A + 3B ≤ 29 and A≥0, B20. What is the optimal value of A? O 2.444 O 0.000 39.11 O 4.222
- Maximize p = 7x + 6y + 3z subject to x + y + z ≤ 150 x + y + z ≥ 100 x ≥ 0, y ≥ 0, z ≥ 0. p= (x, y, z)=Suppose that Pizza King and Noble Greek stopadvertising but must determine the price they will chargefor each pizza sold. Pizza King believes that Noble Greek’sprice is a random variable D having the following massfunction: P(D $6) .25, P(D $8) .50, P(D $10) .25. If Pizza King charges a price p1 and NobleGreek charges a price p2, Pizza King will sell 10025( p2 p1) pizzas. It costs Pizza King $4 to make a pizza.Pizza King is considering charging $5, $6, $7, $8, or $9 fora pizza. Use each decision criterion of this section todetermine the price that Pizza King should charge.Maximize Profit=123 L + 136 S 17 L+11 S≤ 3000 6 L+9 S≤2500 L20 and S20 (Availability of component A) (Availability of component B) Show Transcribed Text Implement the linear optimization model and find an optimal solution. Interpret the optimal solution. The optimal solution is to produce LaserStop models and SpeedBuster models. This solution gives the possible profit, which is $. (Type integers or decimals rounded to two decimal places as needed.)
- Fopic 4- Linear Programming: Appli eBook Problem 9-05 (Algorithmic) Kilgore's Deli is a small delicatessen located near a major university. Kilgore's does a large walk-in carry-out lunch business. The deli offers two luncheon chili specials, Wimpy and Dial 911. At the beginning of the day, Kilgore needs to decide how much of each special to make (he always sells out of whatever he makes). The profit on one serving of Wimpy is $0.46, on one serving of Dial 911, $0.59. Each serving of Wimpy requires 0.26 pound of beef, 0.26 cup of onions, and 6 ounces of Kilgore's special sauce. Each serving of Dial 911 requires 0.26 pound of beef, 0.41 cup of onions, 3 ounces of Kilgore's special sauce, and 6 ounces of hot sauce. Today, Kilgore has 21 pounds of beef, 16 cups of onions, 89 ounces of Kilgore's special sauce, and 61 ounces of hot sauce on hand. a. Develop a linear programming model that will tell Kilgore how many servings of Wimpy and Dial 911 to make in order to maximize his profit today.…A local real estate investor in Orlando is considering three alternative investments: a motel, a restaurant, or a theater. Profits from the motel or restaurant will be affected by the availability of gasoline and the number of tourists; profits from the theater will be relatively stable under any conditions. The following payoff table shows the profit or loss that could result from each investment. Based on the Maximax criteria, the investor should choose Investment Motel Restaurant Theater Motel Restaurant O Theater O Any of the three Shortage $-8,000 2,000 6,000 Gasoline Availability Stable Supply $15,000 8,000 6,000 Surplus $20,000 6,000 5,0009.5 Capital Healthplans Inc. is evaluating two different methods for providing home health services to its members. Both methods involve contracting out for services, and the health outcomes and revenues are not affected by the method chosen. Therefore, the net cash flows for the decision are all outflows. Here are the projected flows: Year Method A ($) Method B ($) 0 (300,000) (120,000) 1 (66,000) (96,000) 2 (66,000) (96,000) 3 (66,000) (96,000) 4 (66,000) (96,000) 5 (66,000) (96,000) What is each alternative’s IRR? If the opportunity cost of capital for both methods is 9 percent, which method should be chosen? Why?
- Newell and Jeff are the two barbers in a barber shop they own and operate. They provide two chairs forcustomers who are waiting to begin a haircut, so the number of customers in the shop varies between 0 and 4.For n = 0, 1, 2, 3, 4, the probability Pn that exactly n customers are in the shop. A. Calculate L . How would you describe the meaning of L to Newell and Jeff?B. For each of the possible values of the number of customers in the queueing system, specify howmany customers are in the queue. Then calculate Lq . How would you describe the meaning of Lq to Newelland Jeff? C.Determine the expected number of customers being served. D. Given that an average of 4 customers per hour arrive and stay to receive a haircut, determine W andWq . Describe these two quantities in terms meaningful to Newell and Jeff. E. Given that Newell and Jeff are equally fast in giving haircuts, what is the average duration of ahaircut?2.28 A foundry produces castings to order. An order for 20 special castings has been re- ceived. Since the casting process is highly variable, not all castings produced are good. The cost of producing each casting is $550; the additional cost of finishing a good casting is $125. If a casting is not good, it is recycled at a value of $75; excess good castings are not finished but are recycled at a value of $75. The customer has agreed to accept 15, 16, 17, 18, 19, or 20 castings at a price of $1250 each. If fewer than 15 good castings are produced, none will be purchased by the customer. Prob- ability distributions for the number of good castings produced in a batch of varying sizes are given below. How many castings should be scheduled in order to maximize expected profit? #Good Castings 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 79 2 PRODUCT, PROCESS, AND SCHEDULE DESIGN Number of Castings Scheduled 15 16 17 0.05 0.00 0.00 0.00 0.00 0.00 0.05 0.05 0.00…At a small but growing airport, the local airline company is purchasing a new tractor for a tractor-trailer train to bring luggage to and from the airplanes. A new mechanized luggage system will be installed in 3 years, so the tractor will not be needed after that. However, because it will receive heavy use, so that the running and maintenance costs will increase rapidly as the tractor ages, it may still be more economical to replace the tractor after 1 or 2 years. The following table gives the total net discounted cost associated with purchasing a tractor (purchase price minus trade-in allowance, plus running and maintenance costs) at the end of year i and trading it in at the end of year j (where year O is now). i 012 1 $13,000 j 2 $28,000 $17,000 3 $48,000 $33,000 $20,000 The problem is to determine at what times (if any) the tractor should be replaced to minimize the total cost for the tractors over 3 years. (a) Formulate this problem as a minimum cost flow problem by showing the…