LP MODEL FORMULATION1. RDB Manufacturing Company needs to provide capacity for manufacturing 10,750 units/month ofa new product for which it has won a contract. It has identified two machines that meet itsrequirements. Information on the machines and their availability is as follows:MachineMachine AMachine BCost/Machine$150,000$200,000Capacity,Parts/Month12501900Floor Space Needed,Square Feet/Machine3545MachineAvailableThe plant has a maximum of 300 square feet of space available for available for the additionalequipment. How many of each machine should the company purchase in order to support thecontract requirements at minimum equipment cost?

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Answered: LP MODEL FORMULATION 1. RDB…

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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Arrange a plan to order from the supplier using Part Period Balancing and Least Unit Cost method. Ordering lead time of the components is 1 period. Then Calculate the total cost of each method.
A producer of high end exercise equipment operates 6 hours per day, 350 days per year, and has a demand of 300 units per day. Assume a kanban container size of 8 units. Workstation times are as follows: - average wait time is 2 minutes - average handling time is 4 minutes - average processing time is 5 minutes. In addition, management has established a safety stock policy of 150 seconds. How many kanbans should be placed in front of this workstation? Please round up to a whole number, no decimals.
Trans Global Tractor Trailers has decided to spend up to $2,700,000 on a fleet of new trucks, and it is considering three models: the Gigahaul, which has a capacity of 6,000 cubic feet and is priced at $60,000; the Megahaul, with a capacity of 5,000 cubic feet, priced at $50,000; and the Picohaul, with a capacity of 2,000 cubic feet, priced at $40,000. The anticipated annual revenues are $500,000 for each new truck purchased (regardless of size). Trans Global would like a total capacity of up to 234,000 cubic feet and feels that it cannot provide drivers and maintenance for more than 54 trucks.How many of each should it purchase to maximize annual revenue? (Gigahaul, Megahaul, Picohaul) = trucks What is the largest possible revenue it can make? $
A company is producing 3 products A ,B and C. BOM of each product is given in the table below. Material Unit Product A Product B Product C Steel Ton 4 Aluminum KG 50 40 60 Wood CFT 10 10 Glass SFT 30 30 Rubber Sealer RFT 100 120 Screws Рack 5 6 4 Nut Bolt Dozen 2 Calculate the material requirements for 6 months production for all the products if monthly demand for A=1000, B=1200 and C=1500 units
A pet food factory blends four ingredients into three types of pet food: value, premium, and basic. The maximum quantities available of each ingredient and the costs per ounce are given in the table below: Ingredient Maximum pounds available per day Cost per ounce 5,000 $0.5625 2 2,400 $0.4375 3 4,000 $0.7500 4 1,500 $0.3750 The operations manager has placed limits on the component to be added to each blend. The limits and the selling price for each blend are shown in the table below: Variant Component Specifications Selling Price per pound Value Not less than 40% of 1 $12.00 Value Not more than 20% of 2 $12.00 Value Not less than 30% of 3 $12.00 Premium Not less than 40% of 3 $18.00 Basic Not more than 50% of 2 $10.00 Basic Not less than 10% of 1 $10.00 The marketing manager wants to produce at least 3,000 pounds of each variant of pet food. Develop a linear programming model to help the company determine the best mix to produce to maximize profits. Determine the optimal solution and…
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Hoosier Power needs to determine a capacity expansion plan to meet Bloomington’s power needs for thenext 20 years. The current capacity is 5000 kwh. The demand for the current year is 4000 kwh, and demand is expected to increase by 1000 kwh in each succeeding year. At the beginning of each year, Hoosier Power must determine the amount of capacity to add, given the following inputs: ■ Any year in which capacity is added, a fixed cost of $120,000 is incurred plus a cost of $120 per kwh of capacity. ■ At most 10,000 kwh of capacity can be added in a single year. ■ It costs $25 per year to maintain a unit of capacity. ■ It costs $12 per year to produce a kwh. ■ If production does not meet demand, a shortage cost of $80 per kwh short is incurred. Develop a linear integer model to help Hoosier Power minimize its costs for the next 20 years.
G.97.
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