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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Tattle Tots makes a fiberglass tricycle for kids that is composed of three major components: a handlebar-front wheel- pedal assembly, a seat, and frame unit, and rear wheels. The company has orders for 12,000 of these tricycles. The company does not have the resources available to manufacture everything needed for the completion of 12,000 tricycles so it has gathered purchase information for each component. The following table shows relevant information: Requirements Cost to Cost to Manufacture Purchase Component Plastic Time Space Front 3 10 2 12 Seat/Frame 4 2 6 9. Rear-wheel (each) .5 2 .1 1 3 Available 50,000 160,000 30,000 Develop a linear programming model to advise the operations manager of Tattle Tots how many of each component should be manufactured and how many should be purchased in order to provide 12,000 fully completed tricycles at the minimum cost. What is your best recommendation?
A contractor is planning a job that will require a large amount of gravel and sand. The estimates for the necessary gravel and sand are: Coarse gravel Fine gravel Sand 20,000 yd³ 29,000 yd³ 20,000 yd³ There are two pits from which material can be obtained, and the plan is to haul from these two pits and to separate (screen) on the job whatever material is needed. Analysis shows that the material at each pit has the following composition: Pit A Pit B Coarse gravel Fine gravel Sand Waste 20% 14% 25% 41% 30% 50% 20% 0% It costs $8/yd³ for material and hauling from pit A and $16/yd³ from pit B. Set this up as a linear programming problem to minimize delivered cost. Formulate and Solve with graphical solution method AND with Excel (Provide Model, Answer and Sensitivity Report)
A manufacturing firm has four plants and wants to find the most efficient means of meeting the requirements its four customers. The relevant information for the plants and customers, along with shipping costs in dollars per unit, are shown in the table below: Factory (capacity) A (100) B (75) C (100) D (250) Customer 1 (125) $15 A. $10,050 B. $9,000 C. $9,100 D. $8,950 E. $8,750 $20 $22 $21 Customer (requirement) Customer 2 Customer 3 (150) $10 $12 $20 $15 (175) $20 $19 $25 $28 Customer 4 (75) $17 $20 $14 $12 Note: This question requires Solver. Formulate the problem in Solver and find the optimal solution. What is the minimum total cost to meet all customer requirements?
The specifications of a vessel are as follows: Deadweight capacity Winter load line 18,500tons Summer load line 23,500 tons Tropical load line 25,000 tons Average speed 13 knots/hour Bunker Capacity Intermediate Fuel Oil (IFO) 1600 tons Diesel Oil (DO) 160 tons Cost: fuel IFO $110, MDO $198.80, Water $385 and Store $2689.70 Daily Consumption at Sea: IFO 28 tons/day DO 6 tons/day water 3 tons/day store 5.5tond/day In Port 6 days: IFO 2 tons/day MDO 5 ton/day Water 7 tons/day Stores 4 tons/day Required reserve days ten days (the 'at sea consumption' is used to calculate reserve for fuel) The vessel entered into a voyage charter agreement to carry cargo from Barbados (winter load line) to Port St. John (also winter load line). 3,820 nautical miles away to maximize the load, only the reserves for all fuels, water, and stores should remain. It is assumed that there is currently no fuel, water, and stores on the vessel (including the reserves); Calculate: a. Total weight of the reserves b.…
X +Yassi Kariminia - BUDGETS For each diagram, determine the value of x a) 2x 3x b) Unit 6 - Assignment X Appreciation and Depreciat X oogle.com/c/NDU1MjI5MTE2Mjc3/a/NDU1MjI5MTE2NDM3/details 5. 2x + 7 3x - 2 O +Yassi Kariminia - H
17. A landscape gardener wants to build an 8000-square foot rectangular display garden along the side of a river. The garden will be fenced on three sides. (No fence is necessary along the river). She plans to use ornamental steel fencing at $12 per foot on the side opposite to river and chain-link fencing at $3 per foot on the other two sides. What dimensions for the garden will minimize her costs?
The Sentry Lock Corporation sells a variety of electronic goods through television shows. The company has a number of storages to keep the goods it sells, but also takes out a lease on additional storage space when required. During the next 5 months the company anticipates that it is going to need to take out a lease on the following amounts of additional storage space: Month 1 2 3 4 5 Square Feet(ft2) Needed 20,000 30,000 40,000 35,000 50,000 In the beginning of any month the company can take out a lease on additional space for one or more months at the following costs: Lease Term (months) 1 2 3 4 5 Cost per Sq. Ft. Leased $55 $85 $130 $165 $185 Therefore, for example, in the beginning of month 1 the company can take out a lease on as much space as it requires for four months at a cost of $165 per ft2 . Similarly, in the beginning of month 3 it can take out a lease on any amount of space for two months at a cost of $85 per ft2 . The company needs to determine the optimal way of…
Ensure to show your steps of calculations, formula and provide clear explanations for each part of the problem.
Sulaiman is planning to take his car for regular service. The work required in servicing is divided into several activities and represented in the below table along with the time taken for each task: ACTIVITY TASK Activitysymbol iMMEDIATEPREDECESSORS Duration (min) Open the petrol tank cap A - 2 Add petrol (Paid service) B A 14 Close the petrol tank cap C B 10 Open bonnet, check and add engineoil (Paid service) D - 19 Check radiator coolant, Checkbattery, Close bonnet E D 12 Clean the wind shield, Check airpressure in tires F - 12 Prepare bill G B,E 11 Collect payment H G 15 Draw the network diagram and find the earliest start and latest finish time of all the activities. Also determine thetotal project time for which Sulaiman will stay at the service station and list out the critical activities.
Please clarify which option is correct
The Megabuck Hospital Corp. is to build a state-subsidized nursing home catering to homeless patients as well as high-income patients. State regulations require that every subsidized nursing home must house a minimum of 760 homeless patients and no more than 800 high-income patients in order to qualify for state subsidies. The overall capacity of the hospital is to be 2,100 patients. The board of directors, under pressure from a neighborhood group, insists that the number of homeless patients should not exceed twice the number of high-income patients. Due to the state subsidy, the hospital will make an average profit of $9,800 per month for every homeless patient it houses, whereas the profit per high-income patient is estimated at $7,800 per month. How many of each type of patient should it house in order to maximize profit? (If an answer does not exist, enter DNE.) high-income patients homeless patients profit
Please provide me a step by step solution And which option is correct

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