In the transportation model, you determine the lowest number first in the row then in the column & then subtract it to the numbers they are aligned in respectively. * False True
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In the transportation model, you determine the lowest number first in the row then in the column & then subtract it to the numbers they are aligned in respectively. *
False
True
The transportation model is designed to maximize the total cost of delivering products from a source to a destination. *
False
True
A goal programming problem had two equally important goals. Goal number 1: to achieve exactly $1,500 profit; Goal number 2: to avoid overtime. The objective function for this goal programming problem is written as: Minimize G = 2(d1-) + (d1+) + (d2+) *
False
True
Setup cost (dollars per inventory unit per unit time) includes: capital invested in inventory, storage and handling of material, & insurance. *
True
False
Placing a new order whenever the inventory level drops to a specific re-order point is known as periodic order. *
False
True
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- Modify the warehouse location model as suggested inModeling Issue 2. Specifically, assume that the samefour customers have the same annual shipments, butnow, there are only two possible warehouse locations,each with distances to the various customers. (Thesedistances, along with other inputs, are in the fileP07_27.xlsx.) The company can build either or bothof these warehouses. The cost to build a warehouseis $50,000. (You can assume that this cost has beenannualized. That is, the company incurs a buildingcost that is equivalent to $50,000 per year.) If onlyone warehouse is built, it will ship to all customers. However, if both warehouses are built, then the com-pany must decide which warehouse will ship to each customer. There is a traveling cost of $1 per mile.a. Develop an appropriate model to minimize totalannual cost, and then use Solver to optimize it.Is this model an NLP or an IP model (or both)?b. Use SolverTable with a single input, the traveling costper mile, to see how large…Jefferson Distributing is analyzing distribution networks with either 4, 5, 6 or 7 warehouses to serve 200 major customers in Europe. Relevant costs include transportation cost from the warehouses to customers, fixed facility costs, and inventory costs in the warehouses. The table below shows the annual transportation cost produced by a facility location software tool for locating 4, 5, 6 or 7 warehouses for this company. Suppose that annual inventory cost for the network can be modeled as $800,000 times the square root of the number of warehouses. Thus, if the network has 4 warehouses, then the annual inventory cost would be $800,000 x √4= $1,600,000. Number of Warehouses Transportation Cost 4 8,000,000 5 6,500,000 6 5,000,000 7 4,400,000 a) If the annual fixed cost per warehouse is $1,000,000, how many warehouses should there be to minimize the total (transportation + warehouse + inventory) cost? b) Now suppose the…Chapter 6. Solve the following Linear Program using the Solver method and answer the questions given below (round to two decimal places): Maximize 12A + 15B s.t. 3A + 7B <= 250 5A + 2B <= 200 B <= 25 A, B >= 0 a. The optimal value of A is 31.03 and the optimal value of B is 22.41. b. The maximized function yields a solution of 708.62. Chapter 7. For the problem you solved in Q1, obtain the Sensitivity Report, and answer the following questions. Remember to round to two digits and you can enter “infinity” for unlimited regions: The range for Variable A is from ????? to ????? The range for Variable B is from ????? to ????? The range for Constraint 1 is from ????? to ????? The range for Constraint 2 is from ????? to ????? The range for Constraint 3 is from ????? to ?????
- Instructions: Solve using Excel Solver. Create the linear programming model and get the optimal solution to the problem. (Follow the steps and format in the photo below) 1. A company manufactures two products X1 and X2 on three machines A, B, and C. X1 requires 1 hour on machine A and 1hour on machine B and yields a revenue of Php 30. Product X2 requires 2 hours on machine A and 1 hour on machine B and 1 hour on machine C and yields revenue of PhP 50. In the coming planning period the available time of three machines A, B, and C are 2000 hours, 1500 hours and 600 hours respectively. Find the optimal product mix.An individual wishes to invest PhP 50,000 over the next year in two types of investment: Investment A yields 5%, and investment B yields 8%. Market research recommends an allocation of at least 25% of the actual total investment in A and at most 50% of the actual total investment in B. Moreover, investment in A should be at least half the investment in B. How should the fund be allocated to the two investments? questions: -Find the feasible region -Find the corner points -Find the optimal valueA goldsmith makes two types of jewelry. A model A ring is made with 1 g of gold and 1.5 g of silver and sells for 25 UM.Another model B ring sells for 30 UM and is made of 1.5 g of gold and 1 g of silver. If you only have 750 gof each metal, how many rings should be made of each type to obtain maximum profit?Requested:- Make Initial Table of the problem.- Obtain the Case Variables- Obtain the Objective Function- Get Restrictions- Create the Simplex Table- Obtain the Optimal Solution and the Slack Variables.Solve this operational research exercise.
- 1. True/FalseA company wants to hire 4 vendors for the sale of 4 products, they could only sell one type of product. The following table (image) indicates what each seller charges for selling each of the products. The company wants to assign each seller a product, find all possible optimal assignments by pinpointing their optimal cost. answer the following:a) It is an allocation model T() F()b) It is not a transportation model T() F()c) The model is not balanced T() F()d) The problem has exactly 24 feasible points T() F()Here is a problem to challenge your intuition. In the original Grand Prix example, reduce the capacity of plant 2 to 300. Then the total capacity is equal to the total demand. Run Solver on this model. You should find that the optimal solution uses all capacity and exactly meets all demands with a total cost of $176,050. Now increase the capacity of plant 1 and the demand at region 2 by 1 automobile each, and run Solver again. What happens to the optimal total cost? How can you explain this “more for less” paradox?3. Two poultry farms supply companies with chicken feeds. The unit costs of shipping from the farms to the companies are given in the table below. The farm's goal is to minimize the cost of meeting customers' demands. a) Generate a mathematical model for finding the least cost way of shipping chicken feeds from the farms to the companies.(b) if the demand of company number 2 increased by 3 units. By how much would the costs increase? Show your solution. (c). Solve the total cost using the solver add-in in excel. From Company 1 Company 2 Company 3 Supply Farm A 55 65 80 35 Farm B 10 15 25 50 Demand 10 10 10
- Given this linear programming model, solve the model and then answer the questions that follow.Maximize Z = 12x1 + 18x2 + 15x3 where x1 = the quantity of product 1 to make, etc.Subject toMachine 5x1 + 4x2 + 3x3 ≤ 160 minutes Labor 4x1 + 10x2 + 4x3 ≤ 288 hoursMaterials 2x1 + 2x2 + 4x3 ≤ 200 poundsProduct 2 x2 ≤ 16 units x1, x2, x3 ≥ 0 a. Are any constraints binding? If so, which one(s)?The Heartland Distribution Company is a food warehouse and distributor that has a contractwith a grocery store chain in several Midwest and Southeast cities. The company wants toconstruct new warehouses/distribution centers in some of the cities it services to serve thestores in those cities plus all the other stores in the other cities that don’t have distributioncenters. A distribution center can effectively service all stores within a 300-mile radius. Thecompany also wants to limit its fixed annual costs to under $1,200,000. The company wants tobuild the minimum number of distribution centers possible. The following table shows thecities within 300 miles of every city and the projected fixed annual charge for a distributioncenter in each city.City Annual fixed charge ($1ks) Cities within 300 miles1. Atlanta 270 1, 2, 72. Charlotte 250…Company aims to determine the optimal number of products to be produced in order to maximize the total profit. a) Formulate the problem using algebraic method. b) Solve the model using the graphical method (indicate optimal solution and profit). C) again). Use graphical method to determine the shadow price for each of these resources (based on the definition of shadow price and by increasing each resource by one unit and solving the problem d) Use the Excel solver to do parts b and c. e) follow: Using Solver Table generate the optimal solution and the total profit for each resource as e1: Consider unit profit for product 1 (use range from 0 to 4 and increment of 1) e2: Consider unit profit for product 2 (use range from 0 to 4 and increment of 1) е3: Consider simultaneous changes for both unit profits in part e1 and e2 using given ranges. e4: Consider available resource of Raw material 1 (use range from 2 to 14 and increment of 1) e5: Consider available resource of Raw material 2 (use…