platinum‚ whereas each bracelet requires 2 ounces of gold and 5 ounces of platinum. The store has to use a minimum of two ounces of gold. The demand for bracelet is no less than three. A necklace earns $375 in profit and a bracelet‚ $225. Formulate a linear programming model for this problem with an appropriate objective function =number of necklaces to be made = number of bracelets to be made Maximize Profit (Z)= Subject to Maximum availability of gold Minimum usage quantity of gold Maximum availability
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performance of the system. Techniques and tools of operation research: Linear programming: You can use linear programming to find a solution for optimising a given objective. The objective may be to maximize profit or to minimize cost. Inventory control methods: The production‚ purchasing‚ and material managers are always confronted with questions‚ such as when To buy‚ and how much to keep in stock. Goal programming: In linear programming ‚ you take a single objective function and consider all other
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Courtney carlisle Date: Graded Assignment Unit Test‚ Part 2: Linear Equations and Systems Answer the questions below. When you have finished‚ submit this assignment to your teacher by the due date for full credit. (10 points) 1. The table gives the population of a town for the years 2000–2009. a. Make a scatter plot of the data‚ draw a line of best fit‚ and then find the equation of the line of best fit. Show and explain your work. b. Describe what the slope of the line of best fit represents
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estimate the following forms of demand function: i) Y=a + b X (Linear) Y= quantity of eggs consumed‚ a = constant b = intercept X= per capita disposable income Here we have used single equation regression model‚ which carries two variables one is dependent and another one independent variable. The form equation is like this: i) Y= 3.0085 + 0.0619 X R2 = 0.8569 (13.5301) (2.76) The linear function gave a ‘consistently better fit to the data. From the
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requires 10 hours of processing time on line 1‚ while on line 2‚ product 1 requires 7 hours and product 2 requires 3 hours. The profit for product 1 is $6 per unit‚ and the profit for product 2 is $4 per unit. a. Formulate a linear programming model for this problem. b. Solve this model by using graphical analysis. 6) The Pinewood Furniture Company produces chairs and tables from two resources-labor and wood. The company has 80 hours of labor and 36 pounds of wood available each day. Demand
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−1 7 −4 2 7 1 −2 4 3. (1.3; 17) Let a1 = 4 ‚ a2 = −3 ‚ b = 1 . For what −2 7 h value(s) of h is b in the plane spanned by a1 and a2? 4. (1.4; 15) Let A = b1 2 −1 and b = . Show that the equation −6 3 b2 Ax = b does not have a solution for all possible b‚ and describe the set of all b for which Ax = b does have a solution. 1 Math 111 Homework 2 spring 2007 due 21/9 1. (1.5; 26) Suppose Ax = b has a solution. Explain why the solution is unique precisely when Ax = 0 has
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alloy that contains four metals according to the following specifications: at least 21% of metal A‚ no more than 12% of metal B‚ no more than 7% of metal C and between 30% and 65% of metal D. The proportion of the four metals in each of the six ores and the level of impurities in each ore are provided in the following table: Ore Metal (%) Impurities (%) Cost/Ton A B C D 1 19 15 12 14 40 27 2 43 10 25 7 15 25 3 17 0 0 53 30 32 4 20 12 0 18 50 22 5 0 24
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ADM 3301 Sample Mid-term Exam Duration: 2.5 hours Student name:_______________________ Student No.__________________ INSTRUCTIONS: 1- Write down the exam copy number (that exists at the top right corner of this page) on the identification white card next to your name. 2- Verify that your exam has 9 pages (including this title page). 3- Answer all questions on your examination copy. Use the opposite (blank) side‚ if necessary. Answers or calculations written on the sheet
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Introduction to Management Science‚ 10e (Taylor) Chapter 4 Linear Programming: Modeling Examples 1) When formulating a linear programming problem constraint‚ strict inequality signs (i.e.‚ less than < or‚ greater than >) are not allowed. Answer: TRUE Diff: 2 Page Ref: Ch 2 review Main Heading: Formulation and Computer Solution Key words: formulation 2) When formulating a linear programming model on a spreadsheet‚ the measure of performance is located in the target cell.
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Name: Kareem Charles School: Queen’s Royal College Subject: Applied Mathematics Topic: An investigation of the relationship between student’s punctuality and academic performance in a form 5 year group in Queen’s Royal College. Centre number: 160046 Candidate’s number: Territory: Trinidad and Tobago Teacher: Mrs. Ramdeen Ali Date Submitted: 24th April‚ 2014 Table of Contents Title…………………………………………………..……………………………………………3
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