Q2. You are planning to control pollution from four manufacturing facilities those aredischarging pollutants into a river. Each of these facilities are releasing 20 units of pollution, butyou are planning to control half (40 units) of the aggregate 80 units of pollution. The marginalcost of controlling pollution from these four units are as follows:MC1 = $20,MC2 = $25,МСЗ %3D $30,МС4-$40a. What will be the cost-effective allocation of pollution control among these four facilities?b. What will be the cost involved to control the target 40 units of pollution control?c. If each of the facility is directed to control half of their own pollution, what would be thecost of pollution control for the target 40 units? Will it be a cost effective option?

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Answered: Q2. You are planning to control…

Linear Algebra: A Modern Introduction

4th Edition

ISBN:9781285463247

Author:David Poole

Publisher:David Poole

Chapter2: Systems Of Linear Equations

Section2.4: Applications

Problem 23EQ: 23. Consider a simple economy with just two industries: farming and manufacturing. Farming consumes...

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23. Consider a simple economy with just two industries: farming and manufacturing. Farming consumes 1/2 of the food and 1/3 of the manufactured goods. Manufacturing consumes 1/2 of the food and 2/3 of the manufactured goods. Assuming the economy is closed and in equilibrium, find the relative outputs of the farming and manufacturing industries.
If during the following year it is predicted that each comedy skit will generate 30 thousand and each musical number 20 thousand, find the maximum income for the year. A television program director must schedule comedy skits and musical numbers for prime-time variety shows. Each comedy skit requires 2 hours of rehearsal time, costs 3000, and brings in 20,000 from the shows sponsors. Each musical number requires 1 hour of rehearsal time, costs 6000, and generates 12,000. If 250 hours are available for rehearsal and 600,000 is budgeted for comedy and music, how many segments of each type should be produced to maximize income? Find the maximum income.
A company undertakes both construction of new houses and also the repair and renovation of old building. Due to the competition in the market, it has become necessary for the company’s long term plans to obtain a suitable mix of new houses and repair work each year. For planning purpose, the profit on new houses is taken to be 20% of their total value whereas on repair and renovation is 25%. To avoid the problem of having to acquire large amount of land for the building of new houses, the company always plan for at least ¢4,000,000 of repair and renovation work each year but at the same time the company ensures that repairs and renovation do not account for more than half of their total work load. Furthermore, in costing all new and repair work, 5% of the total value of the work load is included to cover the company’s actual fixed overheads which have been estimated at ¢500,000 for the coming year. The other major consideration is the amount of skilled labour which is available. It has…
A production manager is trying to determine how many units of two types of products to produce each day. One of these is the Standard model, while the other is the Luxurious model. The profit per unit on the Standard model is R600, while the profit per unit on the Luxurious model is R400. The Standard model requires 20 minutes of assembly time, while the Luxurious model requires 35 minutes of assembly time. The Standard model requires 10 minutes of inspection time, while the Luxurious model requires 0.25 hour of inspection time. To meet a specific order, at least 6 Luxurious models must be produced. There are 450 minutes of assembly time and 3 hours of inspection time available each day. Make use of Linear programming graphical method to determine how many units of each product that should be manufactured to maximize profits?

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