We assume that in a village there are farmers, carpenters, and tailors, who provide the three essentialgoods: food, housing, and clothing. Suppose the farmers consume of the food (produced by farmers),of the housing (produced by carpenters) and of the clothes (produced by tailors). The carpenterconsumes of the food, of the housing, and of the clothes. The tailors consume of the food, ofthe housing, and no clothes. Assume this is a closed Leontief model.If we know that the tailors produce 632 units of clothes, then the farmers produceand the carpenters produceunits of housing.units of food

Let's denote the total production of food, housing, and clothing by farmers, carpenters, and tailors…

Answered: We assume that in a village there are…

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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We consider two supply chains that send a product from a manufacturer (or supplier) to a regional warehouse to a local distribution center to a store. Supply chain A operates such that the store sends both their order and their sales to the local distribution center; the local distribution center sends their order, the store's sales, and the orders they have sent to the store to the regional warehouse; and the warehouse sends their order, the store's sales, the orders that were sent to the regional warehouse, and their order to the manufacturer. Supply chain B operates such that the store sends both their order and their sales of the product to the local distribution center. The distribution center only sends their order to the warehouse and the warehouse only sends their order to the manufacturer. Discuss which supply chain will be less affected by the bullwhip effect and the reason why it will be.
B. A firm manufactures 2 product, A and B. Each product is processed by machines, M₁ and M2. Each unit of type A requires 1 hour of processing by M₁ and 2 hours in M and each unit type of type B requires 3 hours on M₁ and 1 hour on M₂. The profit on product A is P20 per unit and on product B is P30 per unit. If M₁ is available for 200 hours each month and M₂ for 300 hours, how many units of each type can be manufactured in one month in order to maximize the profits? Requirement: 1) Formulate the linear programming model 2) Solve the linear programming using the graphical method
Families who have pets are classified as having one, two or three pets. Let say that in a given year, 15% of families with one pet move to have 3 pets, and 5% move to have 2 pets; also 6% of all families with 3 pets move to having only one pet, and 4% move to having 2 pets; finally, 4% of all families having 2 pets move to having 1 pet and 6% move to 3 pets. The cost of having 1 pet is close to $500 a year, for 2 it is $750 and for 3 pets $825. What is the expected cost to having one pet, two pet or three pets? Please do fast ASAP fast
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.
A vendor specializing in outdoor gear offers customers three ways to place orders for home delivery. Customers can place orders either in the store, online, or via telephone using a catalog. Of the orders, three-quarters are made online with one-eighth each made in stores or via telephone. Of the online orders, 30% are only for clothing, 30% are only for camping supplies, and 40% are for both. For orders placed in the store, all are for clothing (to order a size that is not in stock). Among orders placed via telephone, 50% are only for clothing, 20% are only for camping supplies, and 30% are for both. Answer parts (a) and (b). (a) Organize these probabilities as a probability table. Purchase Method On-Line In Store Telephone Total Clothing 0.225 0.125 0.0625 0.4125 Purchase Camping 0.225 0.025 0.25 Both 0.3 0. 0.0375 0.3375 Total 0.75 0.125 0.125 1 (Simplify your answers. Type integers or decimals.) (b) What's the probability that the customer orders clothing, either by itself or in…
A wireless carrier offers the following plans that a person is considering. The Family Plan: $ 95 monthly fee, unlimited talk and text on up to 5 lines, and data charges of $ 47 for each device for up to 2 GB of data per device. The Mobile Share Plan: $ 180 monthly fee for up to 10 devices, unlimited talk and text for all the lines, and data charges of $ 30 for each device up to a shared total of 10 GB of data. Use P for the number of devices that need data plans as part of their cost. Find the model of the total cost of the Family Plan $ Find the model of the total cost of the Mobile Share
A company manufactures Product A and Product B. Each product A contributes $300 to profit, and each Product Bcontributes $400. The resources required to manufacture a product A and a product Bare shown in below table. Each day, company can hire up to 98 Type 1 machines at a cost of $50 per machine. The company has 73 Type 2 machines and 260 tons of wood available. Marketing requirements statesthat at least 88 product A and at least 26 product B be produced. Let ????1 = number of product A produced daily; ????2 = number of product Bproduced daily; ????1 = Type 1 machines rented daily. To maximize profit, company should solve the below LP. Use the LINDOoutput to answer the following questions: a. If each product A contributed $310 to profit, what would be the new optimal solution to the problem? b. If company were required to produce at least 86 product A, what would company's profit become? c. What is the most that company should be willing to pay for an extra ton of wood? d.…
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.

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