Two poultry farms supply companies with chicken feeds. The unit costs of shipping fromthe farms to the companies are given on the table below. The farm's goal is to minimizethe cost of meeting customer's demands.(a) Generate a mathematical model for finding the least cost way of shipping chickenfeeds from the farms to the companies.(b) if the demand of company number 2 increased by 3 units. By how much would thecosts increase? Show your solution.(c). Solve the total cost using the solver add-in in excel.FromCompany 1Company 2Company 3SupplyFarm A55658035Farm B10152550Demand 101010

As per the question we are given a Linear Programming Problem. And we will solve it using least cost…

Answered: Two poultry farms supply companies with…

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 linear programming computer package is needed. Georgia Cabinets manufactures kitchen cabinets that are sold to local dealers throughout the Southeast. Because of a large backlog of orders for oak and cherry cabinets, the company decided to contract with three smaller cabinetmakers to do the final finishing operation. For the three cabinetmakers, the number of hours required to complete all the oak cabinets, the number of hours required to complete all the cherry cabinets, the number of hours available for the final finishing operation, and the cost per hour to perform the work are shown here. Min s.t. Hours required to complete all the oak cabinets Hours required to complete all the cherry cabinets Hours available Cost per hour hours available 1 oak hours available 2 cherry hours available 3 Cabinetmaker 1 01, 02, 03, C1, C2, C3 20 50 60 00000 40 $36 Cabinetmaker 2 42 For example, Cabinetmaker 1 estimates it will take 50 hours to complete all the oak cabinets and 60 hours to complete…
This is a two part question. Collin has a small business selling hotdogs at tennis matches. He purchases all of the materials to make each hotdog for $2.60 and has fixed costs at each match of $10. Collin sells each hotdog to customers for $3.60. At most he can produce 42 hotdogs at a match. (1) Draw a complete break-even chart of Collin's hotdog business. Your picture should have a dot on the break-even point and lines for total revenue, total cost, and fixed cost. y, Revenue/Cost ($) 150 140 130 120 110 100 90 80 70 60 50- 40 30- 20 10 24 6 8 10 12 14 16 18 20 22 24 26 28 30 32 34 36 38 40 42 44 x, Units
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
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)
A farmer in the magical land of Avalon is raising a unicorn to sell to a band of Jewel Riders. The market price for unicorn is $12 per pound, but is falling 10 cents per day. The rapidly growing unicorn is currently weighing 400 pounds and is expected to gain 5 pounds per day for the next two to three weeks. The costs to raise a typical unicorn are $5 per day plus $100 for a special unicorn harness and feedbag. What is the optimal time to sell the unicorn to the Jewel Riders? I need to use the Five Step Method for mathematical modeling. Ask the Question. The Question must be phrased mathematically and object must be stated in precise mathematical terms. List all variables and assumptions you are making about them. Do not confuse variables with constants in the problem. Check units for consistency. Select a modeling approach. This could be optimization in one or more variables, linear programming, or many other approaches available in the field of math. Formulate the model. Restate…
Solve the problem. 10) 10) A chess master creates instructional videos about various opening strategies. She sells the videos in 3-hr packages for $ 35 each. Her one-time initial cost to produce each 3-hr video package is $4,600 (this includes labor and the cost of computer supplies). The cost to package and ship each DVD is $ 2.95. a. Write a linear cost function that represents the cost C(x) to produce, package, and ship x 3-hr video packages. b. Write a linear revenue function to represent the revenue R(x) for selling x 3-hr video packages. c. Evaluate (R - C)(x) and interpret its meaning in the context of this problem.
Let's create a mathematical model for the following problem: A chemical company produces a chemical mixture for a customer in 1,000-pound batches. The mixture contains three components: mercury, zinc, and potassium. The mixture must meet specific formula specifications provided by the customer. The company wants to determine the amount of mixture that can meet all requirements and minimize the total cost. The customer provides formula specifications for each batch of the mixture as follows: The mixture must contain at least 200 pounds of mercury. The mixture must contain at least 300 pounds of zinc. The mixture must contain at least 100 pounds of potassium. The cost per pound for mercury is $4, for zinc is $8, and for potassium is $9.
Management science SHORT ANSWER
A small plant manufactures riding lawn mowers. The plant has a net fixed cost (leases, insurance, and so on) of$56000/day and variable costs (labor, materials, and so on) of $1600 per unit produced. The mowers are sold for $2000each unit per day. Write down the appropriate cost and revenue equations for the problem respectively. Using theseequations, answer the following questions:(a) How many units must be manufactured and sold each day for the company to maintain break-even trade?(b) Plot both equations simultaneously in a graph, and clearly indicate break-even point, equilibrium point andequilibrium price in this trade to maintain revenue as expected. Interpret the significance of the regions to the left- andright-side of the break-even point in this business.
A farmer in the magical land of Avalon is raising a unicorn to sell to a band of Jewel Riders. The market price for unicorn is $12 per pound, but is falling 10 cents per day. The rapidly growing unicorn is currently weighing 400 pounds and is expected to gain 5 pounds per day for the next two to three weeks. The costs to raise a typical unicorn are $5 per day plus $100 for a special unicorn harness and feedbag. What is the optimal time to sell the unicorn to the Jewel Riders? P(x)= -.5x2+15x+4700 P'(x)= -x+15 p"(x)= -1 < 0 SENSITIVITY ANALYSIS: (This is the part I am a bit uncertain about. The questions below.) Any help is much appreciated. 1. Preform a sensitivity analysis of the optimal time to sell versus the variable cost to raise a unicorn (harness still $100). 2. So if the actual variable cost was $4.00 per day instead of $5.00 (20% decrease), what would you estimate for the best time to sell based on your sensitivity results? 3. Finally, substitute $4.00 for the variable…

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