Consider the following network representation of a transportation problem.40Let35JeffersonCityOmaha159881124X11 = amount shipped from Jefferson City to Des MoinesX12= amount shipped from Jefferson City to Kansas CityX13 = amount shipped from Jefferson City to St. Louis= amount shipped from Omaha to Des MoinesX21Des MoinesX22= amount shipped from Omaha to Kansas CityX23 = amount shipped from Omaha to St. LouisKansasCitySt. Louis20SuppliesThe supplies, demands, and transportation costs per unit are shown on the network.(a) Develop a linear programming model for this problem; be sure to define the variables in your model.1540Demands Mins.t.From Jefferson CityFrom OmahaTo Des MoinesTo Kansas CityTo St. LouisX11 X12, X13X211 X 22 X23 2010000(b) Solve the linear program to determine the optimal solution.Jefferson City-Des MoinesJefferson City-Kansas CityJefferson City-St. LouisOmaha-Des MoinesOmaha-Kansas CityOmaha-St. LouisTotalAmountCost

Define the variables asx11 = amount shipped from Jefferson City to Des Moinesx12 = amount shipped…

Answered: Consider the following network…

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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3. A political toy company manufactures stuffed donkeys and elephants using cotton and polyester. At present, 40 units of cotton and 30 units of polyester are available. A donkey sells for $4 and requires 1 unit of cotton and 1 unit of polyester. An elephant sells for $5 and requires 2 units of cotton and 1 unit of polyester. Formulate an LP that will help the company maximize profit.
9.
Suppose a certain manufacturing company produces connecting rods for 4- and 6-cylinder automobile engines using the same production line. The cost required to set up the production line to produce the 4-cylinder connecting rods is $2,400, and the cost required to set up the production line for the 6-cylinder connecting rods is $3,600. Manufacturing costs are $14 for each 4-cylinder connecting rod and $19 for each 6-cylinder connecting rod. Hawkins makes a decision at the end of each week as to which product will be manufactured the following week. If a production changeover is necessary from one week to the next, the weekend is used to reconfigure the production line. Once the line has been set up, the weekly production capacities are 5,000 6-cylinder connecting rods and 7,000 4-cylinder connecting rods. Let 56 = 1 if the production line is set up to produce the 6-cylinder connecting rods; 0 if otherwise (a) Using the decision variables x4 and s, write a constraint that limits next…
Suppose the order of profitability of cookies is as follows Ranking in terms of profitability Sugar Double Chocolate Chip Oatmeal Raisin White Chip Mac Nut Peanut Butter 3 4 1 5 2 Width of Cookie in Inches 4 6 4 4 4 How many total inches of horizontal display space would be used to sell Oatmeal Ralsin Cookies if the cookie display case is 24 inches across? Assume the Subw must offer at least three different kinds of cookies.
Prove the following is not regular. L = {1w/w E E*, where lw is a prime}, Σ = {0, 1}
Suppose a certain manufacturing company produces connecting rods for 4- and 6-cylinder automobile engines using the same production line. The cost required to set up the production line to produce the 4-cylinder connecting rods is $2,500, and the cost required to set up the production line for the 6-cylinder connecting rods is $3,900. Manufacturing costs are $13 for each 4-cylinder connecting rod and $16 for each 6-cylinder connecting rod. Hawkins makes a decision at the end of each week as to which product will be manufactured the following week. If a production changeover is necessary from one week to the next, the weekend is used to reconfigure the production line. Once the line has been set up, the weekly production capacities are 6,000 6-cylinder connecting rods and 8,000 4-cylinder connecting rods. Let x4 = the number of 4-cylinder connecting rods produced next week x6 = the number of 6-cylinder connecting rods produced next week s4 = 1 if the production line is set up to…
1. A microwave oven company has two factories in the east coast and the midwest. It takes 25 hours (including packaging, shipping, etc.) to transport the microwave ovens of each order from the factory on the east coast to the central warehouse, while it takes 20 hours from the factory in the Midwest to the central warehouse. Shipping from the East Coast factory to the central warehouse costs $80 per order, while shipping from the Midwest factory to the central warehouse costs $40. Now there are 1,000 hours available for packaging, shipping, etc., and $3,000 can be used as transportation costs. (a) Try to write a linear inequality system describing this transportation system. (b) Try to draw a graph of the linear inequality system and list the corner points.
Suppose that a computer supplier has two warehouse, one located in city A and another in city B. The supplier receives orders from two customers, one in city C and another in city D. The customer in city C orders 70 units, and the customer in city D orders 50 units. The number of units at the warehouse in city A is 80 and the number of units at the warehouse in city B is 90. The cost of shipping each unit from A to C is 1, from A to D is 2, from B to C is 3, from B to D is 2. Formulate the problem of deciding how many units from each warehouse should be shipped to each customer to minimize the total shipping cost.
Please read the problem carefully. Thank you!

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