Numerical Methods for Engineers
7th Edition
ISBN: 9780073397924
Author: Steven C. Chapra Dr., Raymond P. Canale
Publisher: McGraw-Hill Education
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Chapter 15, Problem 4P
(a)
To determine
To calculate: The solution of linear programming problem,
Subject to the constraints,
By the use of graphical method.
(b)
To determine
The solution of the linear programming problem,
Subject to the constraints,
By the Simplex method.
(c)
To determine
The solution of the linear programming problem,
Subject to the constraints,
By the use of software.
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Temperature measurements are based on the transfer of heat between the sensor of a measuring device (such as an ordinary thermometer or the gasket of a thermocouple) and the medium whose temperature is to be measured. Once the sensor or thermometer is brought into contact with the medium, the sensor quickly receives (or loses, if warmer) heat and reaches thermal equilibrium with the medium. At that point the medium and the sensor are at the same temperature. The time required for thermal equilibrium to be established can vary from a fraction of a second to several minutes. Due to its small size and high conductivity it can be assumed that the sensor is at a uniform temperature at all times, and Newton's cooling law is applicable. Thermocouples are commonly used to measure the temperature of gas streams. The characteristics of the thermocouple junction and the gas stream are such that λ = hA/mc 0.02s-1. Initially, the thermocouple junction is at a temperature Ti and the gas stream at…
Chapter 15 Solutions
Numerical Methods for Engineers
Ch. 15 - A company makes two types of products, A and B....Ch. 15 - Prob. 2PCh. 15 - 15.3 Consider the linear programming...Ch. 15 - 15.4 Consider the linear programming...Ch. 15 - Use a software package (for example, Excel,...Ch. 15 - 15.6 Use a software package (for example, Excel,...Ch. 15 - 15.7 Consider the following constrained nonlinear...Ch. 15 - Use a software package to determine the maximum of...Ch. 15 - Use a software package to determine the maximum of...Ch. 15 - Given the following function,...
Ch. 15 - You are asked to design a covered conical pit to...Ch. 15 - 15.12 An automobile company has two versions of...Ch. 15 - 15.13 Og is the leader of the surprisingly...Ch. 15 - 15.14 Develop an M-file that is expressly designed...Ch. 15 - 15.15 Develop an M-file to locate a minimum with...Ch. 15 - Develop an M-file to implement parabolic...Ch. 15 - 15.17 The length of the longest ladder that can...
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- 7. Walkabout. Does this graph have an Euler circuit? If so, find one. If not, explain why not.arrow_forwardBelow, let A, B, and C be sets. 1) Prove (AUB) nC = (ANC) U (BNC).arrow_forwardA sequence X = (xn) is said to be a contractive sequence if there is a constant 0 < C < 1 so that for all n = N. - |Xn+1 − xn| ≤ C|Xn — Xn−1| -arrow_forward
- 1) Suppose continuous random variable X has sample space S = [1, ∞) and a pdf of the form f(x) = Ce-(2-1)/2. What is the expected value of X?arrow_forwardA sequence X = (xn) is said to be a contractive sequence if there is a constant 0 < C < 1 so that for all n = N. - |Xn+1 − xn| ≤ C|Xn — Xn−1| -arrow_forward2) Find the general solution to the differential equation d²x dt² 2 dax = dtarrow_forward
- 2) Prove (AB) UC = (AUC)n (BUC).arrow_forwardBlue Ridge Hot Tubs manufactures and sells two models of hot tubs: the Aqua-Spa and the Hydro-Lux. Howie Jones, the owner and manager of the company, needs to decide how many of each type of hot tub to produce during his next production cycle. Howie buys prefabricated fiberglass hot tub shells from a local supplier and adds the pump and tubing to the shells to create his hot tubs. (This supplier has the capacity to deliver as many hot tub shells as Howie needs.) Howie installs the same type of pump into both hot tubs. He will have only 200 pumps available during his next production cycle. From a manufacturing standpoint, the main difference between the two models of hot tubs is the amount of tubing and labor required. Each Aqua-Spa requires 9 hours of labor and 12 feet of tubing. Each Hydro-Lux requires 6 hours of labor and 16 feet of tubing. Howie expects to have 1,566 production labor hours and 2,880 feet of tubing available during the next production cycle. Howie earns a profit of…arrow_forwardNo chatgpt pls will upvotearrow_forward
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