Concept explainers
Case summary:
CC Company develops two kinds of kitchen and bathroom cabinets. There are two variants of cabinets:one is a variation of standard design and is made to order,another is a low-priced line and is made to stock.
The company has been in business for many years and is doing well. The meeting was about the financial status of the company. The meeting was aimed at addressing the operational inefficiency.
To determine: The maximum profit that can be achieved by purchasing the additional wood.
Linear programming:
Linear programming is a mathematical modeling method where a linear function is maximized or minimized taking the various constraints present in the problem into consideration. It is useful in making quantitative decisions in business planning.
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OPERATIONS MANAGEMENT W/ CNCT+
- 2. A canning company produces two sizes of cans—regular and large. The cans are produced in 10,000-can lots. The cans are processed through a stamping operation and a coating operation. The company has 30 days available for both stamping and coating. A lot of regular-size cans require 2 days to stamp and 4 days to coat, whereas a lot of large cans requires 4 days to stamp and 2 days to coat. A lot of regular-size cans earn $800 profit, and a lot of large-size cans earn $900 profit. In order to fulfill its obligations under a shipping contract, the company must produce at least nine lots. The company wants to determine the number of lots to produce of each size can (and) in order to maximize profit. 8. In Problem 2, how much flour and sugar will be left unused if the optimal numbers of cakes and Danish are baked?arrow_forwardA 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.arrow_forwardCalvin Butterball is chief of operations for the Fly-by-Night Aircraft Corp. He is responsible for the manufacturing of the company's two models of planes: The parrot and the eagle. Each department of the company has restrictions concerning the number of planes, which can be manufactures each day. No more than 7 eagles and no more than 11 parrots can be manufactured per day. No more than 12 total planes total can be shipped per day. The number of eagles manufactures must be no more than twice the number of parrots manufactured each day. You much use more than 1000 hours of labor per day; it takes 100 man-hours to manufacture each parrot and 200 man-hours to manufacture each eagle. Fly-by-Night makes a profit of $300 per parrot and $200 per eagle. How many eagles and how many parrots should e produced per day to give the greatest feasible profit and to determine the profit?arrow_forward
- 009. from: small and medium. There are two flavors to choose from: chocolate and strawberry. There are two toppings to choose from: cherries and nuts. The tree diagram below shows the possible outcomes. Use the diagram to answer the questions. Size small medium Flavor chocolate strawberry chocolate strawberry (a) How many outcomes are there? 8 outcome(s) Topping cherries nuts cherries nuts cherries nuts cherries nuts Outcome (small, chocolate, cherries) (small, chocolate, nuts) (small, strawberry, cherries) (small, strawberry, nuts) (medium, chocolate, cherries) (medium, chocolate, nuts) (medium, strawberry, cherries) (medium, strawberry, nuts) (b) How many outcomes do not have chocolate ice cream being chosen? outcome(s) (c) How many outcomes have both strawberry ice cream and cherries being chosen? outcome(s)arrow_forwardThe Big Bang Novelty Company (BBNC) makes 3 types of noise?makers: Toot, Wheet, and Honk. A Toot can be made in 30 minutes and has a feather attached to it. A Wheet requires 20 minutes, has two feathers, and is sprinkled with 0.5 ounces of sequin powder. The Honk requires 30 minutes, three feathers, and 1 ounce of sequin powder. The unit profits are $0.45 per Toot, $0.55 per Wheet, and $0.70 per Honk. The following resources are available: 80 hours of labor, 360 feathers, and 90 ounces of sequin powder. BBNC would like to maximize the overall profit from the noise-makers. (a) Write the linear programming model. Express labor time in minutes in LP formulationb) Solve using Excel Solver. How much of the resources (labor, feathers, and sequin powder) will be used by the optimal solution? If the availability of labor increases by 10 hours, what is the optimal total profit? If the unit profit of Wheet is actually only $0.30 instead of $0.55, will this change the solution? How many of each…arrow_forwardDon't use chatgpt, I will 5 upvotes Alan wants to bake blueberry muffins and bran muffins for the school bake sale. For a tray of blueberry muffins, Alan uses 1/3 cup of oil and 2 eggs. For a tray of bran muffins, Alan uses 1/2 cup of oil and 1 egg. Alan has 4 cups of oil and 12 eggs on hand. He sells trays of blueberry muffins for $12 each and trays of bran muffins for $9 each. Alan wants to maximize the money raised at the bake sale. Let x represent the number of blueberry muffins and y represent the number of bran muffins Alan bakes.arrow_forward
- Although the problems say solve graphically, please solve all problems using the QM for Windows software or solve manually. B.6 The Christina Alvarez Company manufactures two lines of designer yard gates, called model A and model B. Every gate requires blending a certain amount of steel and zinc, the company has available a total of 25.000 Ib of steel and 6,000 lb of zinc. Each model A gate requires a mixture of 125 Ib of steel and 20 lb of zinc, and each yields a profit of 590. Each model B gate requires 100 1b of steel and 30 ib of zinc and can be sold for a profit of $70. Find by graphical IP the best production mix of yard gates.arrow_forwardIntegrated Products Corporation (IPC) needs to estimate its PC sales for next year.The most recent six years of revenue data for the company’s line of XT PersonalComputers, and those of the industry, is found in the table below: Year XT PC Sales Revenue($’000,000) All Industry PC Sales Revenue($’000,000,000) 1 2.4 4.6 2 5.9 8.6 3 15.5 10.7 4 27.8 14.8 5 35.9 18.5 6 38.1 19.4 Required:A. Assuming that the sales data above are representative of sales expected nextyear, use time series regression analysis to forecast next year’s sales revenues(there is no seasonal effect). B. Perform a regression analysis between the annual sales revenues of XTPersonal Computers and all industry PC annual sales revenues. What is theforecast for next year’s sales revenue for XT Personal Computers if the estimateof next year’s industry PC sales revenues is $21.9 billion?C. Advise management at Integrated Products Corporation (IPC) which of the twosales estimates from parts A and B above…arrow_forward1) The Sanders Garden Shop sells two types of grass seeds. Each type of grass seed needs different resources (per pound) as shown in table. Type Basic seeds provides a profit of $3 and Type Super provides a profit of $4.5 per pound. Type Basic Type Super Area in square feet 1 1 Pesticides 2 1 Harvesting &Packaging hours 2 5 Let X = the pounds of Type Basic seed Let Y= the pounds of Type Super seed The Linear Program has been provided as follows: Max 3X + 4.5Y s.t. 1A + 1B ≤ 300 ------1 2A + 1B ≤ 400 -------2 2A + 5B ≤ 750 --------3 A , B ≥ 0 USE GRAPHICAL SOLUTION PROCEDURE TO SOLVE THE LINEAR PROGRAM AND PERFORM THE FOLLOWING STEPS. • Draw the constraints • Shade the feasible region • Corners should be clear and make an arrow to define the feasible region. .Point out the optimal corner on the graph ( the…arrow_forward
- 4 VanMetals has $3500 available for the production of new products. Wall Inc. will buy all the products they can produce.After an initial screening, VanMetals reduced the production alternatives to tables and chairs. Each table can be produced with a cost of $400. Each chair can be produced for $350.VanMetals can devote up to 100 hours to these new products; each table is expected to require 16 hours, and each chair is expected to require 8 hours. The selling prices are $600 per table and $400 per chair.VanMetals’s owner would like to use all-integer linear programming without relaxation to determine the number of tables and the number of chairs to produce to maximize revenue. What are the decision variables? What is the objective function for revenue? What are the constraints? What is the number of tables and the number of chairs to be produced to maximize revenue? What is the Maximum revenue they can expect? Draw the graphical solution of the all-integer problem. take a…arrow_forwardRMC, Inc., is a small firm that produces a variety of chemical products. In a particular production process, three raw materials are blended (mixed together) to produce two products: a fuel additive and a solvent base. Each ton of fuel additive is a mixture of 25 ton of material 1 and 35 of material 3. A ton of solvent base is a mixture of 12 ton of material 1, 15 ton of material 2, and 310 ton of material 3. After deducting relevant costs, the profit contribution is $40 for every ton of fuel additive produced and $30 for every ton of solvent base produced. RMC’s production is constrained by a limited availability of the three raw materials. For the current production period, RMC has available the following quantities of each raw material: RAW MATERIAL Amount Available for Production Material 1 20 Tons Material 2 5…arrow_forwardRMC, Inc., is a small firm that produces a variety of chemical products. In a particular production process, three raw materials are blended (mixed together) to produce two products: a fuel additive and a solvent base. Each ton of fuel additive is a mixture of 2/5 ton of material 1 and 3/5 of material 3. A ton of solvent base is a mixture of 1/2 ton of material 1, 1/5 ton of material 2, and 3/10 ton of material 3. After deducting relevant costs, the profit contribution is $40 for every ton of fuel additive produced and $30 for every ton of solvent base produced.RMC’s production is constrained by a limited availability of the three raw materials. For the current production period, RMC has available the following quantities of each raw material:Raw Material Amount Available for ProductionMaterial 1 20 tonsMaterial 2 5 tonsMaterial 3 21 tonsAssuming that RMC is interested in maximizing the total profit contribution, answer the following:i. Compute the value of the objective function…arrow_forward
- Practical Management ScienceOperations ManagementISBN:9781337406659Author:WINSTON, Wayne L.Publisher:Cengage,