QUESTION THREE Given the LP below: a) Solve the problem using big M-method Minimize Z = 3X1 +4X2 s.t 4X1 + X2 ≥ 30 −X1 − 4X2 ≤ −18 4X1 + 3X2 ≥ 28 X1, X2, ≥ 0
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QUESTION THREE
Given the LP below:
a) Solve the problem using big M-method
Minimize Z = 3X1 +4X2
s.t 4X1 + X2 ≥ 30
−X1 − 4X2 ≤ −18
4X1 + 3X2 ≥ 28
X1, X2, ≥ 0
Step by step
Solved in 3 steps
- Q: Final Reduced Objective Allowable Allowable Cell Name Value Cost Coefficient Increase Decrease $B$5 consider Cake (C) 0 -0.5 4.5 0.5 1E+30 $C$5 consider Dozen Cookies (D) 10 0 10 1E+30 1 what does the value minus .5 for the reduced cost of C mean (other than it is the change in thevalue of the coefficient in the objective function so that the solution includes a positive amountof C)?Problem 7-09 (Algorithmic) Hawkins Manufacturing Company produces connecting rods for 4- and 6-cylinder automobile engines using the same production line. The cost required to set up the production line to produce the 4-cylinder connecting rods is $1,400, and the cost required to set up the production line for the 6-cylinder connecting rods is $3,100. Manufacturing costs are $15 for each 4-cylinder connecting rod and $18 for each 6-cylinder connecting rod. Hawkins makes a decision at the end of each week as to which product will be manufactured the following week. If a production changeover is necessary from one week to the next, the weekend is used to reconfigure the production line. Once the line has been set up, the weekly production capacities are 6,500 6-cylinder connecting rods and 8,200 4-cylinder connecting rods. Let X4 = the number of 4-cylinder connecting rods produced next week X6 = the number of 6-cylinder connecting rods produced next week S4= 1 if the production line is…Q-1)A glass melting furnaces feed auto plumping machines for producing the electric lamp casing (balloon),there are two main kinds can be produced, the original and the big one, they must produce at least 25 million of the original but not accede over 35 million ,and they must produce 3 million of the big one, however the ratio of the original must be at least 5 times to the big one which make a profit double the original, producing million of the big one utilize 5% Of the available materials but the original utilize 2.5% of the available materials ,For this problem ,the objective function is: Max Z =0.5X1+2X2 O MIN Z =2X1+X2 O Max Z =2X1+2X2 O Max Z =2X1+X2
- Question 1 Tide laundry detergent is an example of an SBU for the Procter and Gamble Company. O True O False A Moving to another question will save this response. arch hp f3 f4 fs f6 10 f7 f8 fg #3 & 4 7 8. T Y %24Question 1: Market planning, Inc. a marketing research firm, has obtained the prescription sales data for 20 independent pharmacies (attached). In this table y is the average weekly prescription sales over the past year (in units of $1,000), x1 is the floor space (in square feet), x2 is the percentage of floor space allocated to the prescription department, x3 is the number of parking spaces available to the store, x4 is the weekly per capita income for the surrounding community (in units of $100), and x5 is a dummy variable that equals 1 if the pharmacy is located in a shopping center and 0 otherwise. Regress average weekly prescription sales against different combinations of the independent variables. What is the best model? Discuss what the parameter coefficients say about prescription sales.Question 1After collecting all those information, David is trying to conceptualize his problem. Supposeyou were David, how you will analysing the problem.You are expected to describe and investigate the problem in a more systematic way, andprovide answers for:• What were the key decisions?• What were the key uncertainties?• What was the timing of decisions?• What was the timing of the resolution of uncertainty?• What data would he need in order to make an intelligent, defensible decision?
- Q/Choose a suitable question for each of the following answers. 1-Harry works for an international company in Dallas. * Where Harry is working and in which place? For what company Harry does work and where? For what and where does Harry work ? Does Harry work in an international company in Dallas?subject: Quantitative Analysis For Business Please answer both. 22. Dawn owns a dog day care company that offers kenneling services for dogs that weigh less than 30 pounds. Dawn has decided to expand the building that houses the kennels by 1,000 square feet. A friend suggested that Dawn consider three expansion options: 1) only board dogs under 30 pounds; 2) only board dogs larger than 30 pounds; or 3) split the new space, allocating 50% to dogs under 30 pounds and 50% to dogs over 30 pounds. Expansion Options Strong Economy Weak Economy Likelihood 40% Likelihood 60% Only dogs under 30 pounds $19,000 increase in revenue $18,000 increase in revenue Only large dogs $22,000 increase in revenue $15,000 increase in revenue Split the space between small and large dogs $20,000 increase in revenue $16,000 increase in revenue Based on the table shown above, which option has the highest expected value? Splitting the space between small and large…elbtronics Firmware Engineer Campus 2024 Y 1. Analytical Ability and Problem... Question 8 2 5 6 1 B Attempted 6710 Revisit Later Select an opti A jeweller uses different coloured beads to make a necklace. He first threads five beads of different colours and places them in a line before tying a knot to make the necklace. The red bead is to the immediate right of the blue one. The blue bead is not adjacent to the yellow bead. The green bead is to the immediate left of the pink bead and is at one end of the string. Which bead is to the immediate night of the pink bead?
- Previous Problem Problem List Next Problem (1 point) Using diaries for many weeks, a study on the lifestyles of visually impaired students was conducted. The students kept track of many lifestyle variables including how many hours of sleep obtained on a typical day. Researchers found that visually impaired students averaged 9.2 hours of sleep, with a standard deviation of 2.24 hours. Assume that the number of hours of sleep for these visually impaired students is normally distributed. (a) What is the probability that a visually impaired student gets less than 6.4 hours of sleep? answer: (b) What is the probability that a visually impaired student gets between 6.2 and 8.84 hours of sleep? answer: (c) Thirty percent of students get less than how many hours of sleep on a typical day? answer: hours Note: You can earn partial credit on this problem. Preview My Answers Submit Answers You have attempted this problem 0 times. You have unlimited attempts remaining.QUESTION 8 The variable to remove from the current basis is O the variable with the biggest positive ratio value. O the variable with the smallest positive ratio value O the variable with the smallest positive cj - zj value. O the variable with the biggest positive cj - zj value.QUESTION 1 The table below shows the sales figures for a brand of shoe over the last 12 months. Months SalesJanuary 69February 75March 86April 92May 95June 100July 108August 115September 125October 131November 140December 150 a. Using the following, forecast the sales for the months up to January the following year:-i. A simple three month moving average. ii. A three period weighted moving average using weights of 1, 2 and 3. Assign thehighest weight to the most recent data. iii. Exponential Smoothing when α= .6 and the forecast for March is 350.iv. Determine which of the three forecasting technique is the most accurate using MAD