MJ Mining Company owns three mines and has three different types of ores that is mined. For each ore, thenumber of tons per day available from each mine and the minimum number of tons required to fill ordersare given in the following table.ORE TYPEIronLeadNickelDaily Costs10x + 40y + 15z0x + 15y + 25zMine 1x10Minimize Cost = 7100x + 7400y+6400zsubject to:20x+10y+0z20$7,100Let x,y, and z represent the number of days to run Mines 1, 2, and 3 respectively.Type the objective function and the left hand side of each constraint in the following answer boxes.Number of days to run Mine 1 isNumber of days to run Mine 2 isMinimum cost is $Mine 2Y401510$7,400Number of days to run Mine 3 is> 870IV580Mine 3Z1525> 400Determine the number of days to operate each mine that produces the minimum cost and determine theminimum cost. If there is no solution enter 'NONE' in all boxes below.Round days to two decimal places where necessary.$6,400Requiredtons870580400

Given that MJ Mining company owns three mines and has three different types of ores that is mined.…

Answered: MJ Mining Company owns three mines and…

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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A sprinter runs a 100meter dash at a constant rate of 8.25. Meters per second . A liner constraints models the relationship between the number of seconds since the start of the race an the distance remaining until the sprinter reaches the finish line. If the number of seconds since the distance remaining until the sprinter reaches the finish line if the number of seconds since the start of the race is independent variable which of the following solutions is viable. A.(5.5,54.625) B. (-2,116.5) C.(13,-7.25) D.(4.76)
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…
There are three factories located at AR, IN, and TX respectively. From these locations, a certain commodity is to be delivered to each of the two warehouses situated at A and B. The revenue per commodity item is $10. The weekly demand of the warehouse A and B are respectively 50 and 35 units of the commodity while the production capacity of the factories at AR, IN, and TX are respectively 28, 22, and 35 units. The cost of transportation per unit is given as belows. Cost Warehouse A Warehouse B AR 5 3 IN 6 6 TX 2 4 To maintain a good relationship with all the factories, warehouse B requires that it receives at least 40% of its product from factory in TX. Realize that it is making good profit in warehouse A, AR requires that at least 35% of its product shipped to warehouse A. Formulate (without solving) a linear programming problem to maximize the profit.
Tim Smunt has been asked to evaluate two machines. After some investigation, he determines that they have the costs shown in the following table: He is told to assume that: 1. The life of each machine is 3 years. Machine A Machine B Original Cost Labor per year $15,000 $20,000 $2,200 $4,000 Maintenance per year Salvage value $4,600 $1,000 $2,400 $7,500 2. The company thinks it knows how to make 8% on investments no more risky than this one. 3. Labor and maintenance are paid at the end of the year. • The NPV for Machine A: The NPV for Machine B: Using the net present value as the basis of comparing the machines, Tim should recommend:
In 1997 Fuller and coworkers at Texas A&M University estimated the operating costs of cotton gin plants of various sizes. The operating costs of the next to the smallest plant is shown in the following table. x 2000 4000 6000 8000 10000 12000 y 163,200 230,480 301,500 376,160 454,400 536,400 Here x is the annual number of bales produced, and y is the dollar total cost. (Use 4 decimal places in your answer.)A. Determine the best fitting line using least squares. Also determine the square of the correlation coefficient.The best fitting line is C(x) = .The square of the correlation coefficient is r2 = .B. The study noted that revenue was $63.25 per bale. At what level of production will this plant break even?The revenue equation is R(x) = The profit equation is P(x) = The production will break even when bales are produced.C. What are the profits or losses when production is 3000 bales? 4000 bales? (Round to the nearest cent.)When…

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