Antibiotic number Ingredient A Ingredient B Minimum RequirementAntibiotic 11 unit3 unitslunitsAntibiotic 2Antibiotic 32 units14. Which of the following is NOT a corner point?(a) (1,3)(b) (3, 1)The company wants to determine the number of grams of each ingredient A and B must go oninto the drug in order to meet the antibiotic's minimum requirements of the minimum cost.1 unit.6 unit(a) Minimize z = 80x1 + 50x2(b)Minimize z = 50x1 + 80x2(c) (0,6)(d) (6,0)15. Let be the quantity of ingredient A and be the quantity of ingredient B. What is the objectivefunction?(c) Maximize z = 80x₁ + 50x2(d) Maximize z = 50x₁+80x216. In the second simplex tableau, what is the leaving variable?(a) S₁(b) x1(c) A₁20. How much is the minimum cost?(a) Php 220(b) Php 230641219. What is the optimum quantity ₁ for ingredient A?(a) 3(b) 4(c) 517. In the 3rd simplex tableau, what is the minimum cost?(a) Php 60(b) Php 70(c) Php 80(d) Php 9018. In the 4th simplex tableau, what is the maximum value of the of the surplus variables? (a) 1(c) Php 240(d) S3(d) 6(d) Php 250

Antibiotic number Ingredient A Ingredient B Minimum requirement Antibiotic 1 3 unit 1 unit 6…

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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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2. A covered box is to be made from a rectangular sheet of cardboard measuring 5ft. by 8ft. This is done by cutting out the shaded regions of the diagram below and folding on the dotted lines. What are the dimensions x, y, and z that result in the largest volume of the box? Write an equation for the quantity to be optimized. 1. ii. Read the problem again and using the information given write two equations relating variables. Using the relationships found in part (b), reduce your equation in (a) to an 111. equation in one variable (write it in terms of x) and simplify. iv. What is the domain (range of possible values for x)? Use appropriate test to find the optimal value. V. vi. Read the problem again and report your conclusions.
17. Suppose you are designing a rectangular box with a square base. The materials of which the base and the top is made is $16 per square meter. The cost of the material of which the sides of the box are made is $9 per square meter. (a) If the volume of the box is 1m³, find the dimensions of the box minimizing its cost. 7 (b) What is the largest volume of the box that can be made of $36 worth of materials? (c) If the surface area of the box needs to be 800 m², what are the dimensions that give the largest volume. possible? (d) If the volume of the box is 1m³, find the dimensions of the box minimizing its surface area. V = 1wh 1wh=1m³ | wh="36
Solve for only b and f Education and mortality The software output below isbased on the mortality rate (deaths per 100,000 people)and the education level (average number of years inschool) for 58 U.S. cities.Variable Count Mean StdDevMortality 58 942.501 61.8490Education 58 11.0328 0.793480Dependent variable is: MortalityR-squared = 41.0%s = 47.92 with 58 - 2 = 56 degrees of freedoma) Comment on the assumptions for inference.b) Is there evidence of a strong association between thelevel of Education in a city and the Mortality rate? Testan appropriate hypothesis and state your conclusion.c) Can we conclude that getting more education is likely(on average) to prolong your life? Why or why not?d) Find a 95% confidence interval for the slope of thetrue relationship.e) Explain what your interval means. *f) Find a 95% confidence interval for the averageMortality rate in cities where the adult populationcompleted an average of 12 years of school.
y = demand for the large bottle of Fresh in the sales period(Demand)x1 = the price of product 1x2 = the price of product 2x3 = the advertising expenditure for Freshx4 = the price difference in the sales periodAdver = types of advertising campaignsCampaign A consists entirely of television commercials, campaign B consists of a balancedmixture of television and radio commercials, and campaign C consists of a balanced mixture oftelevision, radio, newspaper, an dmagazine ads. To ultimately increase the demand for Fresh,Enterprise Industries’ marketing department is comparing the effectiveness of three differentadvertising campaigns. To compare the effectiveness of advertising campaigns A, B, and C, wedefine two dummy variables. Specifically, DB is 1 if campaign B is used and 0 otherwise, DC is1 if campaign C is used and 0 otherwise. Our proposed model is y = β0 + β1x4 + β2x3 + β3x 2 3 + β4x4x3 + β5DB + β6DC
10. Ram a farmer, managed to grow shaped-watermelons inside glass cases ofdifferent shapes. The shapes he used were: a perfect cube, hemi-spherical, cuboid,cylindrical along with the normal spherical shaped watermelons. Thickness of the skinwas same for all the shapes. Each of the glass cases was so designed that the totalvolume and the weight of the all the water-melons would be equal irrespective of theshape. A customer wants to buy water-melon for making juice, for which the skin of the water-melon has to be peeled off, and therefore is a waste. Which shape should the customer buy?
Let us consider the case of LaRosa Machine Shop (LMS). LMS is studying where to locate its tool bin facility on the shop floor. The locations of the five production stations appear in the figure below. Y 5 3 Min 2 Fabrication 1 Station Paint Paint Subassembly 1 Fabrication (x, y) = Subassembly 1 Subassembly 2 Assembly Subassembly 2 2 1 4 1 3 X Y Demand 3 2.5 2 4 2 Assembly 5 4 4 11 25 12 6 16 X = horizontal location of the tool bin Y = vertical location of the tool bin 5 In an attempt to be fair to the workers in each of the production stations, management has decided to try to find the position of the tool bin that would minimize the sum of the distances from the tool bin to the five production stations. We define the following decision variables. 6 e We may measure the straight line distance from a station to the tool bin located at (X, Y) by using Euclidean (straight-line) distance. For example, the distance from fabrication located at the coordinates (1, 4) to the tool bin located…
Yang's Material Company hauls gravel to a construction site, using a small truck and a large truck. The carrying capacity and operating cost per load are given in the accompanying table. Yang must deliver a minimum of 120 cubic yards per day to satisfy his contract with the builder. The union contract with his drivers requires that the total number of loads per day is a minimum of 5. How many loads should be made in each truck per day to minimize the total cost? Capacity (yd³) Cost per Load Small Truck Large Truck 40 30 $90 $72 In order to minimize the total cost, the number of loads in a small truck that should be made is be made is. and the number of loads in a large truck that should
A rectangular storage tank with an open top is to have volume (20 m³). The length of the base is twice the width, see the figure. The Material of the base costs (20 $) per square meter. The material of the sides costs (10 $) per square meter. Use Lagrange multiplier method to find the optimum dimensions of a tank that give the minimum cost. h 2w Ans./ l= 3.914 W = 1.957 h - 2.61
Bruce's Material Company hauls gravel to a construction site, using a small truck and a large truck. The carrying capacity and operating cost per load are given in the accompanying table. Bruce must deliver a minimum of 240 cubic yards per day to satisfy her contract with the builder. The union contract with her drivers requires that the total number of loads per day is a minimum of 8. How many loads should be made in each truck per day to minimize the total cost? Capacity (yd³) Cost per Load Small Truck Large Truck 40 $97 60 $70 In order to minimize the total cost, the number of loads in a small truck that should be made is and the number of loads in a large truck that should be made is

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