(a) Develop the linear programming formulation of this problem. (Let XA₁ be the number of units of product A produced by machine 1, X;; be the number of units of product i produced by machine j, etc.)Mins.t.Machine 1 CapacityMachine 2 CapacityMachine 3 CapacityProduct A OrdersProduct B OrdersProduct C OrdersX₁, ≥ 0 for all i, j.(b) Solve the transportation model for the minimum cost production schedule for the products and machines.Show the production schedule.(XA1 XA2 XA3 XB1' XB2' XB3' XC1 XC2' XC3) =Determine the cost (in dollars) of the production schedule.Total = $ The Ace Manufacturing Company has orders for three similar products.Orders(units)2,200ProductABC с12Machine3Three machines are available for the manufacturing operations. All three machines can produce all the products at the same production rate. However, due to varying defect percentages of each product on each machine, the unit costs of the products vary depending onthe machine used. Machine capacities for the next week and the unit costs are shown below.AABBCсProduct1233001,400Capacity(units)1,8001,7008001Machine23$1.00 $1.30 $1.10$1.20 $1.40 $1.00$0.90 $1.20 $1.20

Objective function:Subjected constraints:Machine 1 capacity: Machine 2 capacity: Machine 3 capacity:…

Answered: The Ace Manufacturing Company has…

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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// + MI * 00 44 A Company produces three models of VCRS Model 1, Model 2, and Model 3, at two facilities, A and B. The company has orders for at least 6000 of Model 1, at least 1800 of Model 2, and at least 2400 of Model 3. The weekly production capacity of each model at each facility and the cost per week to operate each facility are given in the table below. For how many weeks should each facility operate to minimize the cost of filling the orders? A Model 1 Model 2 Model 3 Cost Per Week($) 009 009 000 000 The minimum possible cost of filling the orders is $ king Guide r Contents or Success Enter your answer in the answer box and then click Check Answer. for Success 2. 1 part remaining imedia Library Clear All Check Answer Ehase Options OK Type here to search 近 F8 PrtSc F11 F12 sup B. Alt Ctrl
Q1) A company manufactures two products (pl and p2) on three machines (ml, m2 and m3). Each of the products must be processed on all three machines. One unit of pl requires 5h (hours) of processing time on ml, 4h of processing time on m2 and 3h processing time on m3. Machining times required by a unit production of p2 are 2h, 3h and 4h respectively. The machine capacities are 270h, 250h, and 200h per pieces respectively. The unit profits for the products are $100 and $60 respectively. Additionally the manufacturer wants to produce at least five pl for each p2. Suppose that the produced each product is sold. Formulate a Linear Programming (LP) Model to determine the number of pl and p2 that maximize the overall profit. (Define the decision variables. Write the objective function, and the constraints. Indicate sign restrictions. Do not try to solve the problem.)
Table 1.1 (below) is a record of the travelling times of the time taken for ten (10) employees to deliver packages, to ten (10) of their distribution centres in Trinidad. These centres are located in Chaguanas (I), Arima (II), Sangre Grande (III), Princes Town (IV), Manzanilla (V), Rio Claro (VI), San Juan (VII), Point Fortin(VIII), San Fernando (IX) and Port of Spain (X). Worker Worker 1 Worker 2 Worker 3 Worker 4 Worker 5 Worker 6 Worker 7 Worker 8 Worker 9 Worker 10 I 26 30 29 26 29 27 25 30 25 25 II 40 45 30 32 37 37 42 41 41 40 Table 1.1 - Employee Travelling time (minutes) III 27 30 20 25 27 30 30 26 29 23 IV 35 32 32 30 31 30 35 28 36 30 V 39 35 30 36 35 36 30 30 40 38 Area VI 70 75 83 80 85 90 69 87 90 88 VII 30 30 34 29 27 30 34 28 30 32 VIII 75 79 80 75 76 69 66 67 78 68 IX 63 62 62 60 60 57 58 58 60 62 X 30 32 30 29 30 35 36 37 34 28
State the type of variable in each of the following cases 1- 5.1. The weight (Kg) of an Amazon package.2. The stress level (Low, Average, High) of a student taking this exam.3. The number of Long Covid-19 patients in England in 2021.4. Type of vaccine (Pfizer, AstraZeneca, Moderna).5. The annual profits (£m) of the JSA company in 2021.Your answer should be A, or B or C or D, where A, B, C, and D are defined asfollows:A. Numerical and DiscreteB. Numerical and ContinuousC. Categorical and NominalD. Categorical and Ordinal
Q1) A retail. Store stocks two types of shirts A and B. These are packed in attractive cardboard boxes. During a week the store can sell a maximum of 400 shirts of type A and a maximum of 300 shirts of type B. The storage capacity, however, is limited to a maximum of 600 of both types combined. Type A shirt fetches a profit of SR 2/- per unit and type B a profit of SR. 5/- per unit. (a) Formulate a mathematical model of the problem.
Warehouse 1 locate at coordinate (200, 60) and has a daily outbound goods volume of 2,500 units Warehouse 2 locates at coordinate (100,100) and has a daily outbound goods volume of 1,500 units Warehouse 3 locates at coordinate (120, 80) and has a daily outbound goods volume of 5,000 units Warehouse 4 locates at coordinate (170, 60) and has a daily outbound goods volume of 7,000 units Suppose your company wants to expand its logistics network and locate a distribution center within a network of four existing facilities. What should the coordinates for the distribution center be?
Assume that producing 1 unit of calcium requires 0.4 units of calcium, 0.1 units of hydrogen, and 0.1 units of sea salt; that producing 1 nit of hydrogen requires 0.2 units of calcium, 0.3 units of hydrogen, and 0.1 units of sea salt; and that producing 1 unit of sea salt equires 3 units of calcium, 0 units of hydrogen, and 0.2 units of sea salt. Find the production schedule that satisfies an external demand for 41 units of calcium, 39 units of hydrogen, and 11 units of sea salt. X =
3. DETAILS TANFIN12 3.3.014.CMI. Solve the linear programming problem by the method of corners. Maximize P= 2x + 7y subject to 2x + ys 16 2x + 3y S 24 x2 0, y 20 The maximum is P= at (x, y) =
A factory works 8 hours a day, producing three products namely A, B and C. each of these products is processed in three different operations namely 1, 2 and 3. The processing times in minutes for each of these products in each of the operations are given below along with utilization of the processes and the cost and price in kwachas for each of these three products which have unlimited demand. Product Processing time (mins) in operation Cost/unit Price/unit 1 3 (K) (K) 1 10 16 2 1 4 10 Utilisation 80% 70% 90% Formulate a linear programming model for this problem Detemine the optimal product mix using the simplex method. iii. Give the interpretations for the values obtained in the final simplex table 529 ABC
2.) Consider an M/M/2 system with an arrival rate of 9 per minute and a service rate of 8 per minute. What is the average time a customer spends in the system? Take your answer to three decimal places. Omit the units in your answer.
3.3 4.manufactures 37-in. high def LCD tvs in 2 separate locations, Locations I and II. The output at Location I is at most 6000 televisions/month, whereas the output at Location II is at most 5000 televisions/month. TMA is the main supplier of tvs to the Pulsar Corporation, its holding company, which has priority in having all its requirements met. In a certain month, Pulsar placed orders for 3000 and 4000 televisions to be shipped to two of its factories located in City A and City B, respectively. The shipping costs (in dollars) per television from the 2 TMA plants to the 2 Pulsar factories are as follows. To Pulsar Factories From TMA City A City B Location I $7 $3 Location II $8 $9 TMA will ship x televisions from Location I to city A and y televisions from Location I to city B. Find a shipping schedule that meets the requirements of both companies while keeping costs to a minimum. (x,y)= What is the minimum cost? 6.Solve the linear programming problem by…

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