Model the following decision-making situation as a linear program.A company makes a blend consisting of two chemicals, 1 and 2, in the ratio 5:2 byweight. These chemicals can be manufactured by three different processes using twodifferent raw materials and a fuel. Production data are given in the table below. Forhow much time should each process be run in order to maximize the total amount ofthe blend manufactured?Requirements per unit time Output per unit timeFuel Chem 1(units)Raw 1Raw 2Chem 2(units) (units)(units)(units)6.Process19.550267571041110010Available2004001850(a) Clearly define the decision variables.(b) Write the objective function.(c) Write the constraints.

Introduction: A linear programming problem is a mathematical formulation of a real life problem. The…

Answered: Model the following decision-making…

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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The supply and demand curves for a product are given in the figure below. p($/unit) Supply 20 16 12 8 4. Demand q (quantity) 160 320 480 640 800 Estimate the equilibrium price and quantity and the consumer and producer surplus. Equilibrium price = units Equilibrium quantity = $ i at equilibrium. Consumer surplus = $ i at equilibrium. Producer surplus = %24
need comprehensive and correct answers.This question is about optimization.
answer D & E ONLY
1
HW QI:A workstation is used to produce three types of products (P1, P2 and P3) such that workstation parameters are product dependent, see table. Given that cach machine is available 92% of the time and the machine is operated 1 shift per day, 6 hours per shift, 5 days a week, and 48 weeks per year, how many machines should the owner buy to satisfy demand? Processing time (min'unit) 3. 75 24 Weekly Demand (unit) 120 90 254 Rework level Rework time (min'unit) % scrap after rework 50 40 10 (%) PI P2 P3 3. Q2: A customized box assembly sonsiste
urgently need Part 8 and 9 solution Please
Objective: A farmer wants to minimize Revenue from producing crops in a greenhouse. Resources: The farmer has the following resources. – 400 hrs of labor; –300 Machine Hrs of capital; –1000 Sq Ft space of the greenhouse. Enterprises (activities/ products): The farmer could produce (Kg) –Tomato (T) and/or –Chilies (C). Price: –Tomato is OR 2/ Kg and of –Chilies is OR 1/Kg. Technical coefficients: see the picture Solving the problem using the Graphical method (Mathematical Formulation: Linear Equations)
3. (5.7.12) On June 2, 2010 USA Today reported a story from Bloomberg News that said that the total price tag for the project to build the new F-35 Joint Strike Fighter would be 65% higher than the original $232 billion estimate. The cost now is estimated to be $382 billion. The total cost of each plane would be $112.4 million, up 81% from the original $62 million. The cost to produce each plane would be $92.4 million, about 85% higher than the original estimate of $50 million. a. Check the arithmetic to see that the three percentage increases reported are correct. b. Can you explain how the project cost can have increased by just 65% when the overall total per plane increased by 81% and the construction cost alone increased by almost 85%?
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
2.) Consider an M/M/2 system with an arrival rate of 9 per minute and a service rate of 8 per minute. What is the average time a customer spends in the system? Take your answer to three decimal places. Omit the units in your answer.

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