4. Consider the following to illustrate a transshipment (Min) problem. Fr\To D E Supply (1,000 tons) Fr\To F G H D $23 $15 $29 A $15 $20 75 E $20 $17 $24 B $18 $16 108 Demand 93 83 123 C $22 $24 86 (1,000 tons) B. Identify a starting solution using Northwest Corner Method. Show complete solution.
Q: Consider the linear programming problem given. Maximize subject to P = 9x + By x-y53 X52 x≥0, y ≥ 0…
A: Given the LPPsubject to
Q: Please do not rely too much on chatgpt, because its answer may be wrong. Please consider it…
A:
Q: (a) (Z4, +). (b) (Z5, .). (c) (Z5, +). (d) (Z4, .). (e) (Z6, .).
A:
Q: with The optimal tableau of an LP is given below. For context, the problem is a maximization…
A: Given:The optimal tableau of a linear programming (LP) problem in maximization form.The LP has three…
Q: For which value of the constant A the differential equation (2xy + 3) dx + (4Ax² - 9y) dy = 0 is…
A:
Q: The circle graph below shows the average water usage by month. If a family uses 45,000 gallons of…
A: The objective of this question is to find out how many gallons of water the family used on the…
Q: the equation: y" - 2y' + 2y = 0. Calculate the auxiliary roots. Use the superposition principle to…
A: “Since you have posted a question with multiple sub parts, we will provide the solution only to the…
Q: 0, 0<t<2 (b) f(t) = et, 2<t
A:
Q: Let -1 0 0 4 0 0 0 0 4 -1 0 0 -1 4 (a) Find the characteristic polynomial of A. (b) Find the…
A:
Q: When a drug is injected into the bloodstream of a patient through the right arm, the drug…
A: The drug concentration in the bloodstream of the left arm hours after the injection is approximated…
Q: In Exercises 1-10, determine whether the indicated subset is a subspace of the given Euclidean space…
A: Q1 is subspace Q3 is subspaceQ5 is not subspace Q7 is not subspaceQ9 is subspace Detailed…
Q: An electronics retailer sells laptops at a steady rate of 7,500 per quarter. It costs the…
A: The demand rate is 7500 laptops per quaterThe manufacturer cost is $350 per laptop.The Retailer…
Q: Show that the function f(x) = exp(x) has only one zero, x*. Write down = 0. Starting with an the…
A: Analyzing f(x) and Applying Newton's Method1. Uniqueness of the Zero:Let's consider the behavior of…
Q: Let f(t) be a function on [0,∞). The Laplace transform of f is the function F defined by the…
A: We have to find the Laplace transformation of the function .
Q: A forced vibrating system is represented by d2 dt2 y(t) +8 (✓ y(t)) + 15 y(t) = 260 sin (t) The…
A: Given that d2dt2(y(t))+ddt(y(t))+15y(t)=200sin(t)and solution of the homogenous equation is…
Q: || = y = Find a solution to the initial value problem, y" + 18x = 0, y(0) = 1, y'(0) = −5.
A: Consider the given differential equation with initial conditions .We know that .
Q: Give complete proofs for the growth rates of the polynomials below. You should provide specific…
A: (a) We have to prove that we need to show that there exist constants First, let's establish the…
Q: 11.1.12. Let G be a group, and assume that H and K are normal subgroups of G with trivial…
A: Given below solution Explanation:Step 1: Step 2: Step 3: Step 4:
Q: Jan Petri is the stockholder and operator of Galaxy LLC, a motivational consulting business. At the…
A: The objective of the question is to calculate the stockholders' equity for Galaxy LLC at the end of…
Q: #2: Consider the following matrix A and column vectors K1, K2, and K3. 8 99 A 98 9 9 9 8 K₁ S K2 K3…
A: Consider the following matrix and column vectors ., Verify that are eigenvectors of the matrix A,…
Q: Find the volume of the tetrahedron with vertices (-4, -4,4), (-7,-5, 8), (-4, -8,0), and (-9,0,5).…
A:
Q: as a #1 Assume that Z= z (xvy) is implicitly determined as function of x, y by the equation Sin…
A:
Q: 2. Assume that h: [a, b²] → R is a continuous function and let G : [a, b] → R denot the following…
A:
Q: Please help me with this question. I am having trouble understanding what to do. Please show all…
A: The objective of this question is to prove that for all positive real numbers a and b, and for all…
Q: Solve the following system by using the inverse of a matrix (X = A¯¹B): 3x + y = 17 -4x+2y=-6
A: Consider the given system of equations.We need to find the solution of the given system using…
Q: Use what you know about these sorts of problems to solve the following third-order homogeneous…
A:
Q: The left panel of Figure 3 shows an elliptic hyperboloid of two sheets given by 4x² - y² - 2² = 1.…
A: Given the elliptic hyperboloid 4x2−y2−z2=1.The plane 2x−y+z=k intersects the hyperboloid.(a)Given…
Q: 4. (a) Find the area of the region under the curve f(x) (b) What the average value of f(x) : =xe-r…
A: Area under the curve is 0.80690 average value of function is 61(e1−e41)Explanation:Step 1:Step…
Q: Σ° (4)" n = 1 Σω, 3 (1) 8 Σor1 2 ( 33 ) " What n=1 is the convergence of each Previous example?
A: Question explained below:Explanation:ANSWER : 1 ANSWER : 2 ANSWER : 3
Q: a. Find the most general real-valued solution to the linear system of differential equations x1(t)…
A:
Q: Solve each of the initial value problems. Clearly label the general solution, and then the…
A: We have to solve the IVP
Q: Use Stokes' Theorem to evaluate where x = F. dr where F(x, y, z) = xi + yj +2(x² + y²)k and C is the…
A:
Q: Given the sequence defined by the following recurrence relation: ⚫ b₁ = 12 . ⚫ b₁ = 29 b=5-b-1-6.…
A: Given that:Wehave to prove that for any non negative integer nFor :The statment is true for For…
Q: A function is defined impilcitly by the equations. 7y2+6x3 Cos(x4y²) - 4 ln(y+5)= 65+ (x³ +7)³ a.…
A: Given: We have to find an expression for at the point
Q: Find the projection matrix P = aa/aa onto the line through each vector a. Verify in both cases that…
A:
Q: Find the change of basis matrix from B1 to B2. B₁ = 3 -21 and ẞ2 = 3,-5, 2
A: We have to find the change of basis matrix β1
Q: Show that (cA-a) V (c A b) and (a → b) A c are logically equivalent using a sequence of equivalences…
A: To show that the compound propositions (c-a) V (cb) and (ab) A c are logically equivalent using a…
Q: Determine whether the set of vectors is a basis for the subspace of R^n that the vectors span.…
A: a) Suppose that be a basis of Then, which is a contradiction. Hence, is not a…
Q: .3. 3. Evaluate the definite integral X dx. 1+x2
A:
Q: 1. Consider the network (G, w) with V(G)= {a, b, c, d, e, f}, E(G)= {ab, ac, ad, ae, af, bc, bd, be,…
A: Ans-(a) Here are the steps of Kruskal's algorithm:Sort the edges of G by nondecreasing weight: cf…
Q: x(t) = f(x,y) dt y(t) = f(x,y), that has precisely two equilibrium points, both of which are saddle…
A:
Q: (1) Define the function f : RR by f(x) at a 1. 2-x x<1 x2 x ≥1 Show that f is continuous
A:
Q: this is base on diffrenecial equation questions LINEAR EQUATIONS & EXACT EQUATIONS &…
A: The explanation of the given problem is below Explanation:Step 1: Step 2: Step 3: Step 4:
Q: 275mm 145° F 1200mm 625mm 700mm 100mm 75° 14 771 " 560mm 07
A:
Q: Find a basis for the null space of matrix A. [10-4 40 A=0 1 0 20 0 0 0 1 3 9. A basis is 9.
A:
Q: Minimize the function ƒ : R² → R given by f(x1,x2) = x² + 2×₁×2 + x² on the set X = {(x1, x2) Є R² :…
A: The objective of this question is to find the minimum value of the function f(x1,x2) = x1^2 + 2x1x2…
Q: Set of residue classes Z6 is equipped with the usual operations of multiplication and addition of…
A:
Q: Paul Stetson is offered credit terms of 3/10 net 40 by his suppliers. Paul, however, usually pays in…
A: I advise Paul Stetson not to take the bank loan and instead prioritize paying his suppliers within…
Q: Use either indirect proof or conditional proof (or both) and the eighteen rules of inference to…
A: Given the premisesLet us use the conditional proof method. For this, we will assume C⋅D, and derive…
Q: The apartment you want to rent is a one bedroom, one bath that has an $800 nonrefundable deposit and…
A: 1. Linear equation is Monthly payment=Rent+Deposit/Number of months2.Total amount of 1 year is…
Step by step
Solved in 6 steps
- Find Initial Basic Feasible Solution: Warehouse A B C D Supply 1 8 14 7 1 100 Plant 2 4 6 4 16 200 3 4 20 8 10 150 Demand 80 90 120 160 (0) (!!!) North-West Corner Method Least Cost Method Vogel's Approximation MethodHere is the initial tableau (by the NorthWest method) of a Min transportation problem. 1 2 3 Demand 19 Dual(v) 1 15 9 S1: 11 10 14 0 S2: 0 S3: B 0 B 3 N 15 Demanders 2 8 0 9 12 188 15 9 21 5 N 0 B 0 B 13 10 8 8 20 3 0 20 -4 N -6 N 0 B 17 7 5 4 0 0 1 -14 N -8 N 0 B Supply Dual(u) 0 (188 188 188 188 Using the Loop method fill in the values of the next tableau Each 2x2 matrix is the relevant square in the tableau. 9 (For grading convenience, in bottom right corner of each box use 1 for "B" and 0 for "N") 22 188 188 188 30 -4 21. Consider the following transportation tableau with three origins and three destinations. To From Windhoek Gobabis Walvis Bay Supply Rundu 4 10 6 100 Oshakati 8 16 6 300 Katima Mulilo 14 18 10 300 Demand 200 300 200 Required Marks Sub total Total Use the Vogel Approximation method (VAM) to find an initial feasible solution? 20 20 To
- Q3) The Cure medical distribution center distributes urgent medical equipment for five local hospitals in Washington DC metropolitan area. Cure Medical distribution would like to invest in a new warehouse in Washington DC to minimize the total distance from five major hospitals. The coordinate of the five hospitals is given below: ( (2) 3 Great Fall (C) (47) 122 (121) Fairfax 10 We W Bu (645) -D (-20, 30)- -E (-40, -30) Colesville Fairland Calpen A (10,60) -B (10,-10) Ⓡ South Lourel stuxent search Refuge (MA A (14) tille (214) pha Bowit (00 X -C (45, -20) 201 C a) Use Solver to determine where the new warehouse should be in to minimize the total distance from 5 hospitals. What are the coordinates of the new warehouse? b) Solve your problem again to minimize the maximum distance between hospitals and the new warehouse. What are the coordinates of the new warehouse?Determine how many products to ship from each factory to each warehouse, or from each factory to each warehouse and direct to each end customer, to minimize shipping cost while meeting warehouse demands and not exceeding factory supplies Explain the above scenario using the problem given below: Warehouse Capucity Factory w, W, W. (Supply) 21 16 25 13 F. F, 17 18 14 23 13 32 27 18 41 19 Requirement 6 (Demand) 10 12 15 43 Use least cost Method to solve the problem. Using Transportation method1. Cars are shipped from three distribution centre's to five dealers. The following table summarizes the mileage between the distribution center's and the dealers together with the monthly supply. Dealer 1 3 4 Supply 1 38 Center 2 3 4 19 3 4 4 16 4 4 9. 4 6. 23 Demand 25 29 21 | 21 a) Find the Initial basic feasible solution using any of the three methods. b) Check the Optimum solution using UV method.
- Qn1. Find the optimal solution to the transportation problem using MODI method. Warehouses Supply WI W2 W3 W4 P1 19 30 50 12 Plants 5. 2. P2 70 30 40 60 P3 40 10 60 20 3. 15 Demand 4)Destination Destination Destination Supply Source 1 75 8 320 Source 2 6 160 13120 4. Source 3 6.5 Demand 160 200 240 Based on the transportation table shown, total transportation cost using North- West Corner Method will be: a. 3040 Ob. 4100 O c. 2640 O d. 1920A company with a network of 10 pipelines transports mango juice according to the details shown in Table 1. Determine the maximum flow per hour. 1. Table/Jadual 1 Сарacity Node Node (m3/h) 140 100 120 100 120 80 110 100 100 100 Reverse Capacity |(m³/h) 60 20 40 40 40 20 30 40 60 60 Start End Pipeline 1 2 3 4 1 1 1 2 3 4 6 6 7 3 7 7 8 8 10
- 1. A company would like to develop an aggregate plan and evaluate its cost using the transportation method. Solve using Excel of the QM software. Note: do not do this manually Related data are shown in the tables below Demand forecast Period Demand (Unit) 1 80 2 90 3 40 Supply Capacity available (units) Regular time 40 65 30 Period 1 2 3 Other Data Beginning Inventory Regular-time cost per unit Overtime cost per unit Subcontract cost per unit Carrying cost Overtime 20 12 10 30 R 100 R 150 R 200 R 5 Subcontract 10 5 5REQUIRED: (a) Draw a network that depicts the company's supply network. Identify the supply nodes, transshipment nodes, and demand nodes in this network. (b) Formulate an optimization model to solve this problem. (Set-up only the objective function and the Constrains do not solve) 1 Question The Audiofile Company produces boomboxes. However, management has decided to subcontract out the production of the speakers needed for the boomboxes. Three vendors are available to supply the speakers. Their price for each shipment of 1,000 speakers is shown below Vendor 1 2 3 In addition, each vendor would charge a shipping cost. Each shipment would go to one of the company's two warehouses. Each vendor has its own formula for calculating this shipping cost based on the mileage to the warehouse. These formulas and the mileage data are shown below Vendor 1 2 3 Vendor 2 3 Warehouse 1 Price $22,500 $22,700 $22,300 Charge per shipment $300+0.40/m $200+050/mle $500+0.20/mile 1600 miles 500 miles 2,000…Q2. Pharmaceutical company producing asingle product sold it through five agencies situated in different cities. All of sudden there rouse a demand for the product in another five cities that didn't agency of the company. The company is now facing the problem of deciding on how to assign the existing agencies in order to dispatch the product to needy cities in such a waythat the travelling distance is minimized. The distance between the surplus and deficit cities in kilometer is given the following table. Surplus city Deficit cities Deficit cites A1 160 130 115 190 200 B1 135 120 130 160 175 C1 140 110 125 170 185 D1 50 50 80 80 110 E1 55 35 80 80 105 Determine the optimum assignment schedule.