3. The origins at 2 plants at Boston and Toronto with capacities of 300 and 500 units, while thedestinations are 3 distribution centers with demands of 200, 300 and 250 respectively. The costsof transporting a unit of the product from origins to destinations are shown below:ORIGINDISTRIBUTION CENTERSDC1DC2DC3BOSTON4TORONTO37REQUIREMENT: Draw the network model and create the linear programming of thistransportation problem.

The transportation problem is a special type of linear programming problem where the objetive…

Answered: 3. The origins at 2 plants at Boston…

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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Perth Mining Company operates two mines for the purpose of extracting gold and silver. The Saddle Mine costs $30,000/day to operate, and it yields 50 oz of gold and 3000 oz of silver each of a day The Horseshoe Mine costs $16,000/day to operate, and it yields 75 oz of gold and 1000 oz of silver each of y day. Company management has set a target of at least 650 oz of gold and 18,000 of silver. (a) How many days should each mine be operated so that the target can be met at a minimum cost? The minimum is C - 288000 at (x,y)-(0,18 (b) Suppose C cx + 16,000y. Find the range of values that the Saddle Mine's daily operating cost, the coefficient c of x, can assume without changing the optimal auton SCS (c) Find the range of values that the requirement for gold can assume. s (requirement for gold) s (d) Find the shadow price for the requirement for gold. (Round your answer to the nearest cent.) S
A chemical manufacturing plant can produce z units of chemical Z given p units of chemical P and r units of chemical R, where: 2 = 40p.5 p0.5 Chemical P costs $200 a unit and chemical R costs $400 a unit. The company wants to produce as many units of chemical Z as possible with a total budget of $32,000. A) How many units each chemical (P and R) should be "purchased" to maximize production of chemical Z subject to the budgetary constraint? Units of chemical P, p = Units of chemical R, r = B) What is the maximum number of units of chemical Z under the given budgetary conditions? (Round your answer to the nearest whole unit.) Max production, z= units
Problem Il: A company plans to make 3 models (A, B, and C) of their main product next month. Production capacity is limited to 100 totals. Each model takes the same about of production time. A supplier problem results in only 1,000 gallons being available next month. Each Model A requires 5 gallons of paint, each Model B requires 7 gallons and each Model C requires 10 Ballons. Marketing wants the following mix: at least 5 Model B's; and no more than 2 Model C's for each Model B produced. The firm wants to select that product mix so as to maximize profit contribution. Here are the numbers that go into profit contribution: Product profit per unit A 1600 $ 1500 $ B 1200 S Formulate this as a linear programming problem.
Food item 1 has 11 units of nutrient 1, 275 units of nutrient 2, and 17units of nutrient 3. Food item 2 has 2 units of nutrient 1, 875 units of nutrient 2, and4 units of nutrient 3. A human desires a constraint of at most 15 units of nutrient 1and 700 units of nutrient 2 among these two food items. How much of each food itemwould maximize the value of nutrient 3?
MJ Mining Company owns three mines and has three different types of ores that is mined. For each ore, the number of tons per day available from each mine and the minimum number of tons required to fill orders are given in the following table. ORE TYPE Iron Lead Nickel Daily Costs 10x + 40y + 15z 0x + 15y + 25z Mine 1 x 10 Minimize Cost = 7100x + 7400y+6400z subject to: 20x+10y+0z 20 $7,100 Let 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 is Number of days to run Mine 2 is Minimum cost is $ Mine 2 Y 40 15 10 $7,400 Number of days to run Mine 3 is > 870 IV 580 Mine 3 Z 15 25 > 400 Determine the number of days to operate each mine that produces the minimum cost and determine the minimum cost. If there is no solution enter 'NONE' in all boxes below. Round days to two decimal places where necessary. $6,400 Required tons 870 580…
Terra Mesa Manufacturing uses a job order cost system to account for its production of specialty patio furniture. At the beginning of June, Terra Mesa had one job in Work in Process, job A75. Management has chosen direct labor cost as its activity base. The costs incurred to date on job A75 are as follows: Direct materials $8260 Direct labor 10500 Overhead 13125 During June, Terra Mesa added the following costs for direct materials and direct labor to job A75: Direct materials $2630 Direct labor 4620 Job A75 was competed on June 30. What is the cost of job A75? $26010 $39135 $44910 $42831
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A factory manufactures three products, A, B, and C. Each product requires the use of two machines, Machine I and Machine II. The total hours available, respectively, on Machine I and Machine Il per month are 7,760 and 10,080. The time requirements and profit per unit for each product are listed below. ABC Machine I 7 9 10 Machine II 8 10 16 $12 $16 $22 Profit How many units of each product should be manufactured to maximize profit, and what is the maximum profit? Start by setting up the linear programming problem, with A, B, and C representing the number of units of each product that are produced. Maximize P = subject to: <7,760 s 10,080 Enter the solution below. If needed round numbers of items to 1 decimal place and profit to 2 decimal places. The maximum profit is $ when the company produces: units of product A units of product B units of product c
A chemical manufacturing plant can produce z units of chemical Z given p units of chemical P and r units of chemical R, where: z = 100p-75,0.25 Chemical P costs $100 a unit and chemical R costs $700 a unit. The company wants to produce as many units of chemical Z as possible with a total budget of $112,000. A) How many units each chemical (P and R) should be "purchased" to maximize production of chemical Z subject to the budgetary constraint? Units of chemical P, p = Units of chemical R, r = B) What is the maximum number of units of chemical Z under the given budgetary conditions? (Round your answer to the nearest whole unit.) Max production, z= units

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