(7) A four basic industries economy consisting of agriculture, manufacturing, transportation, andenergy has the following consumption matrix:0.3 0.2 0 0.10.2 0.3 0.2 0.10.2 0.2 0.1 0.30.1 0.2 0.3 0.210023E4050what is the additional amount the manufacturing sector must produce in order to cover thisdemand?Find the output x needed to cover the external demand d =100204050If d changes to

We have to use the formula where A = d = and I =

Answered: (7) A four basic industries economy…

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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interpret Company A and Company B's results below in terms of the factors that impact Cost Volume Profit Analysis (CVP). Why does Company B have the greater degree of operating leverage? As a manager, why is operating leverage an important concept? Company A Company B Sales (10,000 units times $26) $260,000 Sales (10,000 units times $32) $320,000 Less Variable expenses (10,000 units $16) 160,000 Less Variable expenses (10,000 units times $20) 200,000 Contribution margin (a) 100,000 Contribution margin (a) 120,000 Less Fixed expenses 80,000 Less Fixed expenses 100,000 Net operating income (b) 20,000 Net operating income (b) 20,000 Degree of operating leverage (a divided by b) 5.0 Degree of operating leverage (a divided by b) 6.0
5. Next Monday, Concrete Co need to supply concrete to four different building sites. They prefer to use plants 1 and 2 for the production and delivery of the concrete, because they are quite close to the sites, but find it necessary to use plant 3 to satisfy the rest of the demand. The table below shows supply and demand amounts in tonnes, and cost coefficients in $ per tonne. Cij Site 1 70 40 130 75 Plant 1 Plant 2 Plant 3 Demand Site 2 40 50 210 23 Site 3 20 30 80 19 Site 4 50 60 90 25 Supply 80 55 7 Concrete Co wish to minimise their total cost. Treat this as a primal LP problem. (a) Show that Concrete Co have balanced their transportation problem. (b) Use the Least Cost Method to find a basic feasible solution to this primal problem. Verify that you have the correct number of basic variables. [Hint: You should look at 13 first. Then 12 and 21 are both contenders, but it does not matter what order you choose them in.] (c) Use complementary slackness conditions to find a dual…
10. In 2010 consumption (Ci) for selected countries was as follows Jordan 2.5 billion $, USA 100 billion $, Canada 50 billion $, France 40 billion $ Qatar 10 billion $.and Russia 70 billion $. for the same year income (Yi) was: Jordan 12 billion $, USA 900 billion $, Canada 700 billion $, France 500 billion $ Qatar 60 billion $and Russia 100 billion $.if we want to estimate the following model Ci=B1+B2YI+Ui calculates the slope? * The value must be a number
How can we solve question 4 please?
4. A metal fabrication shop has a single punch press. There are currently three parts that the shop has agreed to produce that require the press, and it appears that they will be supplying these parts well into the future. You may assume that the press is the critical resource for these parts, so that we need not worry about the interaction of the press with the other machines in the shop. The relevant information is listed below: Part Number Annual Demand Setup Cost ($) Cost per unit ($) Production Rate per year 1 2,500 80 16 45,000 2 3 5,500 120 18 40,000 1,450 60 22 26,000 Holding costs are based on an 18 percent annual interest rate, and the products are to be produced in sequence on a rotation cycle. Setup times can be considered negligible. a. What is the optimal time between setups for part number 1? b. What percentage of the time is the punch press idle, assuming an optimal rotation cycle policy?
(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.
Special Demand Selling Price Table 1.1 - Meeting Point estimated demand and selling price Cheese Burger Chili Bowl Gyro 100 1 2 Food/Special Veggie Patty¹ (kg) Cheese (kg) Beans (kg) Lettuce (kg) Tomato (kg) Cajun seasoning (tsp)² Buns (units) Pita Bread (units) 75 $35.00 Zucchini, carrot and broccoli tsp - teaspoon 80 $60.00 Table 1.2 - Meeting Point food supplies for Saturday Night Specials Cheese Burger Veggie Burger The food in inventory and the amounts required for each item is shown in Table 1.2 (below). 13 5 0 5 5 0 2 0 Chili Bowl 18 9 14 0 9 1 0 0 Gyro 11 14 $45.00 9 9 9 0 0 2 Veggie Burger 11 0 0 0 13 0 2 0 60 $40.00 Inventory (kg/tsp/units) 4500 2500 2050 1500 3000 80 270 200
1. Mary has been placed on a strict diet. She monitors her food very carefully. One day at lunch, she plans to have tuna fish sandwiches and tomato soup. The nutrients per serving are found in the table below: Fat (g) Sodium (mg) Protein Sandwich 10 200 20 Soup 4 400 10 Mary can have no more than 34 grams of fat and 1000 mg of sodium. How many servings of soup and sandwich can she have for lunch to maximize her protein intake? a) Define the variables: b) What are the constraint inequalities? Inequality concerning sodium: Inequality concerning fat: c) What is the objective function?
13. In 2010 consumption (Ci) for selected countries was as follows Jordan 2.5 billion $, USA 100 billion $, Canada 50 billion $, France 40 billion $ Qatar 10 billion $. and Russia 70 billion $.for the same year income (Yi) was: Jordan 12 billion $, USA 900 billion $, Canada 700 billion $, France 500 billion $ Qatar 60 billion $. and Russia 100 billion $.if we want to estimate the following model Ci=B1+B2YI+Ui calculates the intercept? The value must be a number
8. In 2010 consumption (Ci) for selected countries was as follows Jordan 2.5 billion $, USA 100 billion $, Canada 50 billion $, France 40 billion $ Qatar 10 billion $. and Russia 70 billion $. for the same year income (Yi) was: Jordan 12 billion $, USA 900 billion $, Canada 700 billion $, France 500 billion $ Qatar 60 billion $.and Russia 100 billion $. if we want to estimate the following model Ci=B1+B2YI+Ui calculate * EC =???? Enter your math answer
If y" – 2y + 6y = sin(3t), y (0) = 2, y (0) = 3 %3| then find Y (s) = L {y(t)}. 3 2s-1 (s² – 2s+6)(s²+9) s2 – 2s+6 OY (s) = 2s+6 ++9 3 3 s2+9 O Y (s) = 3 (s² – 2s+6)(s²+9) 3s+2 2s-1 Y (s) (s² – 2s+6)(s² +9) s2 –2s+6 3 3s+4 (s² – 2s+6)(s²+9) s2 –2s+6 3(s² –2s+6) 2s-3 Y (s) s2 +9 s2 –2s+6

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