1. Construct the general linear programming problem with the objective function and all constraints. Donot solve!ABC company makes two types of Frisbees, red and blue. Red Frisbees sell for $10 and blue Frisbees sellfor 8$. ABC anticipates the total demand for Frisbees to be at least 10,000 for the month. It takes $3 inmaterials for each red Frisbee and $2 in materials for each blue Frisbee. There is $30,000 available formaterial costs per month. It takes 1 hour to manufacture a red Frisbee and 1/2 hour to manufacture ablue Frisbee. There are a total of 40,000 man hours per month. ABC wishes to find how many red andhow many blue Frisbees should be produced to produce a maximum revenue.

Given- ABC company makes two types of Frisbees, red and blue. Red Frisbees sell for $10 and blue…

Answered: 1. Construct the general linear…

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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Formulate but do not solve the following exercise as a linear programming problem. Perth Mining Company operates two mines for the purpose of extracting gold and silver. The Saddle Mine costs $12,000/day to operate, and it yields 45 oz of gold and 3000 oz of silver each of x days. The Horseshoe Mine costs $14,000/day to operate, and it yields 80 oz of gold and 1250 oz of silver each of y days. Company management has set a target of at least 600 oz of gold and 16,000 oz of silver. How many days should each mine be operated so that the target can be met at a minimum cost C in dollars? Minimize C = subject to the constraints gold silver
Formulate but do not solve the following exercise as a linear programming problem.National Business Machines manufactures x model A fax machines and y model B fax machines. Each model A cost $120 to make, and each model B costs $150. The profits are $30 for each model A and $30 for each model B fax machine. If the total number of fax machines demanded per month does not exceed 1900 and the company has earmarked not more than $600,000/month for manufacturing costs, how many units of each model should National make each month to maximize its monthly profits P in dollars ? Maximize P = subject to the constraints manufacturing costs number produced x ≥ 0 y ≥ 0
P.nil
Solve the following linear programming problem. You are taking two dietary supplements daily: Supplement A and Supplement B. An ounce of supplement A contains 9 units of calcium, 8 units of vitamin D, and 5 units of sodium. An ounce of supplement B contains 2 units of calcium, 4 units of vitamin D, and 3 units of sodium. Your goal is to get at least 90 units of calcium and at least 120 units of vitamin D from the supplements daily, while at the same time reducing the amount of sodium that you will get. How many ounces of each supplement should you take daily to reach your goals? Ounces of Supplement A = Blank 1. Fill in the blank, read surrounding text. Ounces of Supplement B = Blank 2. Fill in the blank, read surrounding text. How many units of sodium will you get daily under these circumstances? Units of Sodium = Blank 3. Fill in the blank, read surrounding text.
Formulate a linear programming problem that can be used to solve the following question. An airline has three types of airplanes and has contracted with a tour group to provide transportation for a minimum of 70 first-class, 52 tourist, and 108 economy-class passengers. The first plane costs $4100 for the trip and can accommodate 36 first-class, 16 tourist, and 18 economy-class passengers; the second plane costs $4800 for the trip and can accommodate 8 first-class, 10 tourist, and 42 economy-class passengers; the third plane costs $6300 for the trip and can accommodate 18 first-class, 36 tourist, and 16 economy-class passengers. How many of each type of airplane should be used to minimize the operating cost? X = ---Select--- y = ---Select--- ---Select--- Z |||| ---Select--- | F = AC UB Subject to X ---Select--- 0, y ---Select--- (objective function) (first-class passengers) (tourist passengers) (economy-class passengers) 0, z ---Select--- 0 (nonnegativity constraint)
Formulate but do not solve the following exercise as a linear programming problem.A division of the Winston Furniture Company manufactures x dining tables and y chairs. Each table requires 40 board feet of wood and 2 labor-hours. Each chair requires 16 board feet of wood and 4 labor-hours. In a certain week, the company has 2800 board feet of wood available and 560 labor-hours.If the profit for each table is $50 and the profit for each chair is $18, how many tables and chairs should Winston manufacture to maximize its profits P in dollars? Maximize P = subject to the constraints board feet labor-hours x ≥ 0 y ≥ 0
Just make the linear programming model of the next exercise: A company manufactures and sells two lamp models L1 and L2. For its manufacture, a manual work of 30 minutes is needed for the L1 model and 45 minutes for the L2, and a machine work of 25 minutes for L1 and 15 minutes for L2. 150 hours per month are available for manual work and 120 hours per month for the machine. Knowing that profit per unit is $150 and $100 for L1 and L2 respectively, plan production to maximize profit. Please be as clear as possible and show all the steps. Thank you very much
Formulate a linear programming problem that can be used to solve the following question. An individual needs a daily supplement of at least 380 units of vitamin C and 64 units of vitamin E and agrees to obtain this supplement by eating two foods, I and II. Each ounce of food I contains 34 units of vitamin C and 4 units of vitamin E, while each ounce of food II contains 20 units of vitamin C and also 12 units of vitamin E. The total supplement of these two foods must be at most 29 ounces. Unfortunately, food I contains 22 units of cholesterol per ounce and food II contains 32 units of cholesterol per ounce. Find the appropriate amounts of the two food supplements so that cholesterol is minimized. X = ---Select--- y = --Select--- ---Select--- | F = Subject to (objective function) (total ounces of food) (units of vitamin C) (units of vitamin E) x ---Select--- 0, y ---Select--- 0 (nonnegativity constraint)

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