Mathematics, linear programming A plumber can buy plastic pipe in 6-foot and 12-foot lengths. The current job requireseight 4-foot lengths, five 5-foot lengths and three 7-foot lengths. The plumber wantsto figure out how many of each of the two stock lengths should be bought to minimizewaste.(a) Set up a linear programming model to the above situation.(b) Solve the model.(c) Perform a sensitivity analysis on the model.(d) Comment on the solution, noting the meanings of the slack variables and theranges for resource and cost components.

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Answered: A plumber can buy plastic pipe in…

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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TOPIC: Linear programming One company makes and sells two different models of tools Hammers and shovels. Its manufacture requires a manual work of 20 minutes for the hammers and 30 minutes for the shovels; and a machine work of 10 minutes for hammers and 10 minutes for shovels. 100 hours per month are available for manual work and 80 hours per month for the machine. Knowing that the profit per unit is 30 and 80 pesos for hammers and shovels, respectively, plan the production to obtain the maximum profit.
ch4 q2 s1
0517 ALGEBRA - REVIEW- Verbal Systems rev. 2021-05-17 Algebra -05/172021 Julia and Christine are each doing landscaping projects on their front lawns. They go shopping at their local gardening store for bags of fertilizer. Information about their individual purchases in below: Purchase Information Julia Three four-pound bags and nine one-pound bags for $27 Christine One four-pound bag and five one-pound bags for $13 Algebraically determine the cost of a four-pound bag and the cost of a one-pound bag. Remember to include units. Q + Page 6
Solve the Linear Programming Model A fruit grower has 150 acres of land available to raise two crops, A and B. It takes one dayto trim an acre of crop A and two days to trim an acre of crop B, and there are 240 days peryear available for trimming. It takes 0.3 day to pick an acre of crop A and 0.1 day to pickan acre of crop B, and there are 30 days per year available for picking. Find the number ofacres of each fruit that should be planted to maximize profit, assuming that the profit is Php140 per acre for crop A and Php 235 per acre for crop B.
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Chapter Performance Task (continued) 2 Flight Path of a Bird Some birds, like parrots, have strong, large beaks to break open nuts and shells. But other birds, like crows, crack open their food by dropping it to the ground. How can a bird change its tlight path to protect its falling food from other hungry birds? Walnuts must fall at least 12 feet to the ground to break open. This creates a fall time that leaves the walnut vulnerable to theft by other birds. Scientists have studied crows dropping their food, and have concluded that the birds actually strategize about where to drop their food. A crow optimizes its path to find the shortest fall time that will return a broken nut. 1. The equation y = 4 - 16 models the height y ofa walnut based on the initial height A of the walnut, and the number of seconds t after the walnut is dropped. Write an equation representing the position of the walnut when a crow is flying and carrying the walnut at a height of 25 feet.
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Linear Programming- Intermediate Algebra Name: 2. Suzi is raising prize winning rabbits for the state fair. In order to insure optimal health, she needs to feed the rabbits a special daily diet in ounces. Instead of ordering expensive rabbit food, she is going to make her own with some Better Bunny Blend and some Healthy, Happy, Hare Food. The Better Bunny Blend contains 8 grams of fat, 12 grams of carbohydrates, and 2 grams of protein per ounce. The Healthy, Happy, Hare Food contains 12 grams of fat, 12 grams of carbohydrates, and 1 gram of protein per ounce. The rabbit's diet, needs to have a minimum of 24 grams of fat, 36 grams of carbohydrates, and 4 grams of protein. At most, the rabbits can be fed 4 ounces of food a day. Better Bunny Blend costs $0.20 per ounce and Healthy, Happy Hare Food costs $0.30 per ounce. How much of each type of rabbit food should she use to get a blend that meets all the requirements but cost the least? Define the variables. x= and y= a. b. Write the…

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