18. An underdeveloped country has an agricultural indus-try and a manufacturing industry, with technologymatrix A.least depend:F: fuelsA =A0.200.20 0.45+1M0.20 Agriculture20]7) most dependiSI: service nemustries(a) Surpluses of 8 units of agricultural products and620 units of manufactured products are desired.Find the gross production of each industry.(b) Find the additional production needed from eachindustry for 1 more unit of manufacturing surplus.ManufacturingTCL1230.4 unit of power[ A = A6)I unit of power requires 0,008 und of fuels⇒ 1000 units of power require & units of fuels4/(559)

Given, An underdeveloped country has an agricultural industry and a manufacturing industry with…

Answered: An underdeveloped try and a…

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 local electricity company produces and distributes electricity to residential customers. The firm is a monopoly and it is regulated such that p = MC. The firm faces the following demand function: p = 800 – 2g and its total cost function is: C = 22500 + 200g + q². a) Find the deadweight loss that would result if this company was allowed to operate as a profit maximizing firm, compared to the situation under regulation. b) Calculate the Lerner index of Monopoly Power at the profit maximizing point.
A factory has two production lines A and B, production line A works 7 days a week, production line B works only 5 days a week. Production line A produces 5000 items each day where 82% of the produced items are high quality and the rest are of medium quality. Production line B produces 3500 items each day where 67% of the produced items are high quality, 13% medium quality, and the rest are of low quality. All items produced after working for many weeks are accumulated in a warehouse. If an item is tested and found to be of medium quality, what is the probability that if was produced by production line B. The answer should be a number rounded to five decimal places, don't use symbols such as % Finish attempt . ump to
Nutrition Information Per Serving Cereal A Cereal B 120 5 Nutrient Calories Protein (g) Carbohydrate (g) Fat (g) 19 4 130 2 16 6 How many serving's of Cereal A and Servings of Cereal B so that the two servings contain 435 Calories, 13g of protein, 62g of Carbohydrates, and 17g and of fat? a. 2 serving(s) of cereal A and 1.5 b. 2 serving(s) of cereal A and 1.6 C. 1.5 serving(s) of cereal A and 1.8 d. 2.2 serving(s) of cereal A and 1.4 e. 2 serving(s) of cereal A and 1.3 serving(s) of cereal B. serving(s) of cereal B. serving(s) of cereal B. serving(s) of cereal B. serving(s) of cereal B.
(b) Let xij be the amount shipped from source i to destination j in a 5X5 transportation problem, and let Cij be the corresponding transportation cost per unit. The amounts of supply at sources 1,2,3,4 and 5 are 210, 150,250,190 and 150 units respectively and the demands at destinations 1,2,3,4 and 5 are 205, 220,180,180 and 165 units respectively. The cost of shipping from source 1 to destinations 1,2,3,4 and 5 are 29, 28, 31, 27 and 32 respectively. The cost of shipping from source 2 to destinations 1,2,3,4 and 5 are 26, 27, 30, 37 and 31 respectively. The cost of shipping from source 3 to destinations 1,2,3,4 and 5 are 32, 38, 29, 27 and 35 respectively. The cost of shipping from source 4 to destinations 1,2,3,4 and 5 are 33, 39, 27, 29 and 33 respectively. The cost of shipping from source 5 to destinations 1,2,3,4 and 5 are 35,31, 34, 23 and 35 respectively. (i)Find the associated optimal cost. (ii)Determine each non basic variable.
A factory works 8 hours a day, producing three products namely A, B and C. each of these products is processed in three different operations namely 1, 2 and 3. The processing times in minutes for each of these products in each of the operations are given below along with utilization of the processes and the cost and price in kwachas for each of these three products which have unlimited demand. Product Processing time (mins) in operation Cost/unit Price/unit 1 3 (K) (K) 1 10 16 2 1 4 10 Utilisation 80% 70% 90% Formulate a linear programming model for this problem Detemine the optimal product mix using the simplex method. iii. Give the interpretations for the values obtained in the final simplex table 529 ABC
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
2

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