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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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
The production function of a company is: q = 16 L+ 15 K - K?/5 - 2 L²/ 10 - 3 where "q" is the quantity of mobile phones produced per day, “L" is the number of employees, and "K" is the units of capital worth USD 10,000. The cost of unit capital per day is USD 20. and the average monthly salary of an employee is USD 1,200. The management wants you to find the optimal values of “q", “K" and “L" in order to maximize profit, if the unit selling price of each mobile phone is USD 100.
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…
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.
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…
You want to build a 1200 square foot rectangular infinity pool. Three of the sides will have regular pool walls, and the fourth side will have the infinity pool wall. Regular pool walls cost $15 per foot (regardless of how deep the pool is), and the infinity pool wall costs $35 per foot (regardless of depth). How long should you make the infinity wall so that you minimize your costs?
August eats a mix of Food X and Food ? Y for lunch. The amount of protein, calories,and sodium per ounce for each is shown in the table below. August's lunch should provide atleast 520 calories but less than or equal to 750 milligrams of sodium. August would like to maximize the amount of protein in his lunch mix. Let ? denote the number of ounces for Food X and let ? denote the number of ounces of Food Y. Topic: Graphical Method

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