Find solution using Two-Phase method MIN z = 5x1 + 2x2 + 10x3 subject to x1 - x3 <= 10 x2 + x3 >= 10 and x1,x2,x3 >= 0
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Find solution using Two-Phase method
MIN z = 5x1 + 2x2 + 10x3
subject to
x1 - x3 <= 10
x2 + x3 >= 10
and x1,x2,x3 >= 0
Step by step
Solved in 3 steps
- Assume the demand for a companys drug Wozac during the current year is 50,000, and assume demand will grow at 5% a year. If the company builds a plant that can produce x units of Wozac per year, it will cost 16x. Each unit of Wozac is sold for 3. Each unit of Wozac produced incurs a variable production cost of 0.20. It costs 0.40 per year to operate a unit of capacity. Determine how large a Wozac plant the company should build to maximize its expected profit over the next 10 years.Use the RAND function and the Copy command to generate 100 random numbers. a. What fraction of the random numbers are smaller than 0.5? b. What fraction of the time is a random number less than 0.5 followed by a random number greater than 0.5? c. What fraction of the random numbers are larger than 0.8? d. Freeze these random numbers. However, instead of pasting them over the original random numbers, paste them onto a new range. Then press the F9 recalculate key. The original random numbers should change, but the pasted copy should remain the same.Use the two – phase simplex method Minimize Ζ = 3x1 + 2x2 + x3 Subject to x1 + 4x2 + 3x3 ≥ 50 2x1 + x2 + x3 ≥ 30 −3x1 − 2x2 – x3 ≤ −40 X1 , x2 , x3 ≥ 0
- Use two phase method for solving Maximize: Z = 4X1 + 3X2 + 9X3 Subject to: 2X1 + 4X2 + 6X3 ≥ 15 6X1 + X2 + 6X3 ≥ 12 X1, X2, X3 ≥ 0Consider the following problem: Maximize z = 2x1 + 2x2 + 4x3 subject to: 2x1 + x2 + x3 <= 2 3x1 + 4x2 + 2x3 >= 8 x1, x2, x3 >= 0 (a) Show that Phase I will terminate with an artificial basic variable at zero level (you may use TORA for convenience). (b) Remove the zero artificial variable prior to the start of Phase II, then carry out Phase II iterations.Hi! How do you solve this qn using Excel Solver? The SurveyMonkey firm has been contracted to conduct a survey on the party preference in thecoming election. The firm must assign interviewers to conduct the survey. The interviews are to beconducted by telephone and in person. One person can conduct 80 telephone interviews or 40personal interviews in a single day. The following criteria have been established by the firm in orderto ensure a representative survey:• At least 3,000 interviews must be conducted.• At least 1,000 interviews must be by telephone.• At least 800 interviews must be personal. Due to urgency of the project, the interviews must be conducted within one day. An interviewerconducts only one type of interview on the day. The cost is $50 per day for a telephone interviewerand $70 per day for a personal interviewer. The firm wants to know the number of interviewers tohire in order to minimize the total cost of the survey. a) Formulate a linear programing model for this…
- PLEASE USE SIMOLEX METHOD. Thank you! In Mairah's Garden shop, she makes two (2) kinds of mixtures for planting: gardening mixture and potting mixture. A package of gardening mixture requires 2kg of soil, a kilo of peat moss, and a kilo of fertilizer. A package of potting mixture requires a kilo of soil, 2kg of peat moss, and 3kg of fertilizer. She has at most 16kg of soil, 11kg of peat moss, and 15 kg of fertilizer. A package of garden mixture sells for $3 and a package of potting mixture sell for $5. Assuming all mixtures made will sell, how many packages of each type of mixture should she make to maximize revenue?An urn contains 10 red balls and 30 blue balls.a Suppose you draw 4 balls from the urn. Let Xi bethe number of red balls drawn on the ith ball (Xi 0 or1). After each ball is drawn, it is put back into the urn. Are the random variables X1, X2, X3, and X4 indepen-dent random variables? b Repeat part (a) for the case in which the balls are notput back in the urn after being drawn.Define the different components (y, x, a, and b) of a linearregression equation
- The model for a _____ resembles the hierarchical model in many respects.Consider an ARIMA(2,1,1) process. Write out the resulting model usinga. Backshift notation with the backshift operator B.b. Backshift notation with the operatorc. No backshift notationConsider the linear program max 4y_{1} + 5y_{2} s.t. - y_{1} + y_{2} <= 4 y_{1} - y_{2} <= 10 y_{1}, y_{2} >= 0 (a) Show graphically that the model is unbounded.