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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A T-shirt company has three machines, I, II, and III, which can be used to produce two types of T-shirts, standard design and custom design. The following table shows the number of minutes required on each machine to produce the designs. Machine I Machine II Machine III Standard 1 1 1 Custom 1 4 5 For efficient use of equipment, the company uses machine I at least 240 minutes per day, machine II at least 540 minutes per day, and machine III at least 1000 minutes per day. Each standard T-shirt costs $8, and each custom T-shirt costs $9. Find the number of each type of T-shirt that should be produced to minimize costs. (For each answer, enter an exact number.) standard design : custom design : cost (in dollars) : $
A factory produces two types of product which give $60 and $70 profit respectively, and which both require three machines A, B, C for their production. The three machines are available at most 8, 5, and 8 hours per week, respectively. The first type of product requires 1 hour on each of the machines A and B, and 2 hours on the machine C. The second type of product requires 2 hours on the machine A and 1 hour on each of the machines B and C. Find the maximum.
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.
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
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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.

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