16.Use Linear programming for following study by drawing graph.Problem definition: Beaver Creek Maximization problemProduct mix problem - Beaver Creek Pottery Company: How many bowls and mugs shouldbe produced to maximize profits given labor and materials constraints?Product resource requirements and unit profit:Resource RequirementsClay(Ib/unit)LaborProfitProduct(hr/unit)($/unit)Bowl1.40Mug235040 hrs of labor per day120 Ibs of clayResourceAvailability:Decision Variables x; = number of bowls to produce per daynumber of mugs to produce per dayObjectiveMaximize Z = $40x, + $50x,Where z = profit per day1x, + 2x, 5 40 hours of laborFunction:Resource4x, + 3x2 s 120 pounds of clayX; 2 0; X, 20Constraints:Non-NegativityConstraints:

To solve the given linear programming problem using the graphical method. Concepts used:To solve a…

Answered: Problem definition: Beaver Creek…

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. Solve by Lagrange Multiplier Method: Clearly identify your constraint function and your system. You may use either approach you learned in class and on the video. Mr. Eppolito has S360 to spend on fencing to fence a rectangular garden. The fencing for the north and south sides of the garden costs $10/ft. The fencing for the east and west sides costs $15/ft. Find the dimensions that will allow Mr. Eppolito to fence in the largest-sized garden. Draw a diagram of this scenario. Write the method you will use to solve it, then do so, showing all the necessary equations.
Objective function is Z = 3X+12Y i need help with direct labor time constraint please
1. Mary has been placed on a strict diet. She monitors her food very carefully. One day at lunch, she plans to have tuna fish sandwiches and tomato soup. The nutrients per serving are found in the table below: Fat (g) Sodium (mg) Protein Sandwich 10 200 20 Soup 4 400 10 Mary can have no more than 34 grams of fat and 1000 mg of sodium. How many servings of soup and sandwich can she have for lunch to maximize her protein intake? a) Define the variables: b) What are the constraint inequalities? Inequality concerning sodium: Inequality concerning fat: c) What is the objective function?
For identify the following problem components: (a) decision variables; (b) parameters; (c) the objective function in words; and (d) constraints in words. Environmental. Acid rain in the northeastern part of the U.S. has been attributed in large part to sulfur dioxide emissions from coal-fired power plants in Ohio and other states of the Midwest. Generally, northeasterly winds blow the emissions from these electric power plants toward the Midatlantic. Northeastern, and New England states. Studies have indicated that the air quality in this downwind region is not equally contributed by all power plants in the large geographic region of the Midwest. That is. A pound of sulfur dioxide emitted from each of two different plants in the Midwest does not result in the same reduction in air quality at each monitoring site in the Northeast. This differing impact is due to the different locations of the two plants and the winds that blow past them. Said differently, a pound of sulfur dioxide…
A farmer has 500 acres of available land and $100,000 to spend. He wants to plant the combination of crops which maximizes his profit. Complete parts (a) through (c). Profits and Constraints for Crops Potatoes Corn Number of Acres Cost (per acre) Profit (per acre) X₁ $320 $120 with Minimize subject to: y₁ +320y₂ 2 120. Y₁+1282 2 40 w = 500 y₁ + 100000 ₂ Y₁+224y > 60 Y₁ 20, y₂ 20 $128 $40 The farmer's estimated profit is $ (Simplity your answer.) Cabbage X3 $224 $60 S ≤ = Total 500 $100,000 Z (b) The solution to the dual problem can be interpreted as shadow profits. Use shadow profits to estimate the farmer's profit if land is cut to 400 acres but capital increases to $110,000.
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
A factory manufactures three products, A, B, and C. Each product requires the use of two machines, Machine I and Machine II. The total hours available, respectively, on Machine I and Machine II per month are 7,050 and 9,340. The time requirements and profit per unit for each product are listed below. B C Machine I 4. 9. 11 Machine II 8 7 16 Profit $10 $12 $14 How many units of each product should be manufactured to maximize profit, and what is the maximum profit? Start by setting up the linear programming problem, with A, B, and C representing the number of units of each product that are produced. Maximize P = subject to: s7,050 < 9,340 Enter the solution below. If needed round numbers of items to 1 decimal place and profit to 2 decimal places. The maximum profit is $ when the company produces: units of product A units of product B units of product C Submit Question esc D00 F1 F2 F3 F4 @
A factory manufactures three products, A, B, and C. Each product requires the use of two machines, Machine I and Machine II. The total hours available, respectively, on Machine I and Machine Il per month are 7,760 and 10,080. The time requirements and profit per unit for each product are listed below. ABC Machine I 7 9 10 Machine II 8 10 16 $12 $16 $22 Profit How many units of each product should be manufactured to maximize profit, and what is the maximum profit? Start by setting up the linear programming problem, with A, B, and C representing the number of units of each product that are produced. Maximize P = subject to: <7,760 s 10,080 Enter the solution below. If needed round numbers of items to 1 decimal place and profit to 2 decimal places. The maximum profit is $ when the company produces: units of product A units of product B units of product c

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