(d) A company has three factories. Each factory produces three different products (A, B and C).Factory 1 has a daily production capacity production of 8 units of A, 4 units of B and 8 unitsof C. Factory 2 has a daily production capacity of 6 units of A, 6 units of B and 3 units of C.Factory 3 has a production capacity of 12 units of A, 4 units of B and 8 units of C. The totaldemand for product A is 300 units, for product B is 172 units and for product C is 250 units.The daily operating cost for Factory 1 is $55 for Factory 2 is $60 and for Factory 3 is $50.How many days should each factory be operated in order to fill the total demand and thekeep the operating cost at a minimum?(iv)(v)Identify the entering, departıng and pivot variables.Use the simplex method to determine the optimal tableau. Ensure that you explaineach step in the computation.Identify the basic and non-basic variables.(vii) Identify the optimal solution.(vi)

Objective Functions and Constraints: Based on the given details, the objective…

Answered: (d) A company has three factories. Each…

Practical Management Science

6th Edition

ISBN:9781337406659

Author:WINSTON, Wayne L.

Publisher:WINSTON, Wayne L.

Chapter2: Introduction To Spreadsheet Modeling

Section: Chapter Questions

Problem 33P: Assume the demand for a companys drug Wozac during the current year is 50,000, and assume demand...

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The Tinkan Company produces one-pound cans for the Canadian salmon industry. Each year the salmon spawn during a 24-hour period and must be canned immediately. Tinkan has the following agreement with the salmon industry. The company can deliver as many cans as it chooses. Then the salmon are caught. For each can by which Tinkan falls short of the salmon industrys needs, the company pays the industry a 2 penalty. Cans cost Tinkan 1 to produce and are sold by Tinkan for 2 per can. If any cans are left over, they are returned to Tinkan and the company reimburses the industry 2 for each extra can. These extra cans are put in storage for next year. Each year a can is held in storage, a carrying cost equal to 20% of the cans production cost is incurred. It is well known that the number of salmon harvested during a year is strongly related to the number of salmon harvested the previous year. In fact, using past data, Tinkan estimates that the harvest size in year t, Ht (measured in the number of cans required), is related to the harvest size in the previous year, Ht1, by the equation Ht = Ht1et where et is normally distributed with mean 1.02 and standard deviation 0.10. Tinkan plans to use the following production strategy. For some value of x, it produces enough cans at the beginning of year t to bring its inventory up to x+Ht, where Ht is the predicted harvest size in year t. Then it delivers these cans to the salmon industry. For example, if it uses x = 100,000, the predicted harvest size is 500,000 cans, and 80,000 cans are already in inventory, then Tinkan produces and delivers 520,000 cans. Given that the harvest size for the previous year was 550,000 cans, use simulation to help Tinkan develop a production strategy that maximizes its expected profit over the next 20 years. Assume that the company begins year 1 with an initial inventory of 300,000 cans.
Assume the demand for a companys drug Wozac during the current year is 50,000, and assume demand will grow at 5% a year. If the company builds a plant that can produce x units of Wozac per year, it will cost 16x. Each unit of Wozac is sold for 3. Each unit of Wozac produced incurs a variable production cost of 0.20. It costs 0.40 per year to operate a unit of capacity. Determine how large a Wozac plant the company should build to maximize its expected profit over the next 10 years.
1. A manufacturing company is engaged in producing three types of products: X, Y and Z. The production department produces, each day, components sufficient to make 50 units of X, 25 units of Y and 30 units of Z. The management is confronted with the problem of optimizing the daily production of the products in the assembly department, where only 100-man-hours are available daily for assembling the products. The following additional information is available Type of Product Profit Contribution Assembly Time per Product (Hrs) per Units of Products (in PhP) 120 0.8 Y 200 1.7 450 2.5 The company has a daily order commitment for 20 units of product X and a total of 15 units of products Y and Z. Formulate this problem as an LP model so as to maximize the total profit. Using simplex method, find the number of units of product X, Y and Z to product to maximize total profit.
(d) A company has three factories. Each factory produces three different products (A, B and C). Factory 1 has a daily production capacity production of 8 units of A, 4 units of B and 8 units of C. Factory 2 has a daily production capacity of 6 units of A, 6 units of B and 3 units of C. Factory 3 has a production capacity of 12 units of A, 4 units of B and 8 units of C. The total demand for product A is 300 units, for product B is 172 units and for product C is 250 units. The daily operating cost for Factory 1 is $55 for Factory 2 is $60 and for Factory 3 How many days should each factory be operated in order to fill the total demand and the keep the operating cost at a minimum? (i) (ii) (iii) $50. Show a model that represents the company's problem. Write down the dual maximization problem. Write down the initial simplex tableau.
) The following data have been prepared for master production scheduling purposes in IKEA Australia: End product A: Beginning inventory of 60, Period forecast of 10, Lot size of 30, and 30 hours in lot size. End product B: Beginning inventory of 20, Period forecast of 5, Lot size of 20, and 20 hours in lot size. End product C: Beginning inventory of 30, Period forecast of 15, Lot size of 50, and 50 hours in lot size. Capacity: 38 hours/ week (i) Prepare the master production schedule for these items during the next four periods using the Ethan Allen master production scheduling method. (ii) Suppose that the master production schedule is frozen for the next three periods. What specific impact would the policy have on the IKEA's performance?
NO. 5 Jenny Company produces two types of pants: long pants and short pants. The cost of making a pair of short pants and a pair of long pants are RM 75 and RM 95 respectively. In one week, the company must produce at least 150 pants of cach type. The minimum weekly production is 500 pants. The short pants is sold for RM 120 cach and the long pants for RM 150 cach. Using the graphical method, find: a) The number of short pants and long pants to be made in a week in order to minimize the total production cost. b) The profit made at the minimum weekly production cost.
Please show how to solve b
The Problem The company business is production of porcelain The products are plates, cups and trays. The company wants to optimize it daily production program in order to maxime is revenues. these are made up of revenues from individual types of tableware. For each produced plate the company receives 73 SEK , for a Cup 116 and for a tray 54 SEK . A Maximum of 165 kg of material is available per day. The production of 1 plate consumes 0.2 kg of material, the production of 1 cup puning 0.4 kg of material and the production of 1 tray consuming 0,6 of material. Due to other tasks 4950 minutes are available for this production program. The production of one plate takes 8 minutes of work for the people in production, the production of one cup and saucer takes 29 min of work, and the tray takes 26 min of work due to its complexity. At the same time, the company is obliged to produce at least 170 plates per day. Find the optimal production structure under the given conditions with…
2.2 At Modern Lumber Inc, Moise Ngwenya the producer of apple crates sold to growers, has been able with his current equipment, to produce 240 crates per 100 logs. He currently purchases 100 logs per day, and each log requires 3 labor-hours to process. He believes that he can hire a professional buyer who can buy a better-quality log at the same cost. If this is the case, he can increase production to 260 crates per 100 logs. His labour hours will increase by 8 hours per day. What will be the impact on productivity (measured in crates per labor-hour) if the buyer is hired?
For a certain civil engineering system, it is sought to maximize the benefits, which is given by the expression: Z=3x+5y. The decision variables are x (the amount of resource type 1 to be used) and y (the amount of resource type 2 to be used). • The amount of resource type 1 should be at least 3 units. • The amount of resource type 2 should be at least 3 units. The difference between the amount of ● resource type 2 and the amount resource type 1 should not exceed 6. • The total amount of resource types 1 and 2 should not exceed 12 units. a. Identify the obiective function for this problem. b. Identify and write the constraints. c. Provide a sketch graph for the constraint set. d. Clearly show the feasible region. e. Label all extreme points (or vertices) of the feasible region and indicate their coordinates. f. Solve the optimization problem.
1.The company has three months (April. May and June) for subtracting the units for both NOOR-Company's and AL-SALAM company 2. The company should first satisfy AlNOOR company demand then AL-SALAM company demand. 3. Both production units will work in producing the units 4. Production Unit B will be busy during April 5. The company can work up to 24 hours per day 6. The profit should be at least $1500 Do you think that XYZ-Company should accept or reject the offer?
Production and Materials Purchases Budgets White Corporation’s budget calls for the following sales for next year:Quarter 1 90,000 units Quarter 3 68,000 unitsQuarter 2 76,000 units Quarter 4 96,000 unitsEach unit of the product requires 3 pounds of direct materials. The company’s policy is to begineach quarter with an inventory of product equal to 5% of that quarter’s estimated sales requirementsand an inventory of direct materials equal to 20% of that quarter’s estimated direct materials requirements for production.Required Determine the production and materials purchases budgets for the second quarter.

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