The method which usually gives a good basic feasible sohution to a transportation problem is • Northwest corner rule • Vogel's approximation method Least Cost method none of the above
Q: You are given a feasible region. Find the maximum and minimum (if they exist) for the given…
A:
Q: At the optimal solution from part a), analyze the bank’s constraints (number of new branches, number…
A: answer of given question is in next step
Q: 5. Use Lagrange multipliers to determine the dimensions of a rectangular box, open at the top,…
A:
Q: 6. Solve the transportation problem using (a) Least cost method (b)Vogel's Approximation Method and…
A: Least cost method find the least cost in whole matrix The least cost is 10 . so allocate minimum…
Q: A closed rectangular box with a volume of 54 cm³ is made from two kinds of materials. The top and…
A: • To solve this problem we have to express the Cost of rectangular box as a function of two…
Q: The City Council proposed to utilize government-owned land with an area of 9,600 square meters.…
A: We have to find the minimum length of fencing required fro the mango plantation land. Give the…
Q: Find a starting feasible solution of the following transportation problem using: North West corner…
A: Note:- As per our guidelines and due to time limit, we can answer first three subpart of a problem.…
Q: a rectangular garden area of 340 square feet is to be surrounded on three sides by a brick wall…
A:
Q: A city is setting up community garden plots for residents living in apartments. The plots will be…
A: Consider the equation
Q: Find the maximum and minimum values of the given objective function on the indicated feasible…
A: you can clearly understand if you follow the below solution
Q: while the BlackRock fund was expected to yield 5%. You would like to invest a total of up to…
A: Let the investment in MHI be x Let the investment in BKK be y Total money to be invested is upto…
Q: As an Engineer, cite other instances aside from the situations given above where optimization (one…
A:
Q: With the extra profits generated from the new customers, Jacobi is considering expanding his product…
A: The following information has been provided: Hypothesized Population Mean (μ)(\mu) = (…
Q: The City Council proposed to utilize a government-owned land with an area of 21,600 square meters.…
A:
Q: The government proposed to utilize a government-owned land with an area of 12,150 square meters.…
A:
Q: max Z = x, +3x, s.t. 2. -x; +2x, 0
A: Graphical method
Q: a) Optimal number of products that can be shipped • from Source 1 to Destination 1 units • from…
A: Solution : a) source 1 Destination 1 0 Units source 1 Destination 2 10 Units source 1…
Q: Suppose the feasible region has four corners at these points (0,0), (8,0), (0,12), and (4,8). If…
A:
Q: Lagrange multipliers to give an alternate solution. Find two positive numbers whose product is…
A:
Q: 6 Solve the transportation problem using Ka) Least cost method (Vogel's Approxmation Method and…
A: Here we are going to solve the transportation problem using a) Least cost method…
Q: 2. During the planning of a birthday party, it is decided that the souvenir will be enclosed in a…
A: For relative maximum or minimum To maximize or minimize a function f(x) 1st we need to find its…
Q: The City Council proposed to utilize government-owned land with an area of 12,150 square meters.…
A:
Q: A company plans to manufacture a rectangular box with a square base, an open top, and a volume of…
A:
Q: Minimize Z = 5x1 + 7x2, subject to 2x1 + 3x2 > 147 3x1 + 4x2 > 210 X1 + x2 > 63 and
A: Min Z = 5 x1 + 7 x2 subject to 2 x1 + 3 x2 ≥ 147 3 x1 + 4 x2 ≥ 210 x1 +…
Q: Destination 2 3 4 Supply 1 50 2 2 2 30 3 5 30 Demand 30 35 20 25 Source
A:
Q: Its tot as TR = 300q - 6q² and its total costs as TC = 4q². a) Determine the optimal quantity and…
A: Given : That an engineering firm recently estimated its total revenue function as TR=300-6q2 and its…
Q: Suppose that a company needs 5 ×10,000 items during a year and that preparation costs are $5 for…
A:
Q: 4. A cargo container (in the shape of a rectangular solid) must have a volume of 480 cubic feet. The…
A: The volume of the container which is in the shape of the rectangular solid is given by, V=xyz. The…
Q: What are Lagrange's multipliers? Briefly explain. In what conditions Lagrange's multiplier method…
A: To Determine :- The Lagrange's multipliers and in what conditions Lagrange's multiplier method can…
Q: order to ensure optimal health (and thus accurate test results), a lab technician needs to feed the…
A: Here we have to minimize the cost Part (a): Let x and y are the number of ounces of food X…
Q: A closed rectangular box with a volume of 1296ft is made from two kinds of materials. The top and…
A: answer is in next step
Q: In order to ensure optimal health (and thus accurate test results), a lab technician needs to feed…
A: Step:-1 Let x1, x2 be the amount of food X and food Y respectively to blend. Now, given that X…
Q: What is the requirement of initial basic feasible solution in transportationProblem.
A: It should be not contain n+m-1 non negative places where n is number of rows and m is number of…
Q: With the extra profits generated from the new customers, Jacobi is considering expanding his product…
A: Given, sample mean=$364 Sample S.D=$35 Alpha=5%=0.05
Q: A city is setting up community garden plots for residents living in apartments. The plots will be…
A: Given area of each plot = 32m2 cost of fencing between lots = $5/m cost of fencing around entire…
Q: The feasible region is considered to be a case of unboundedness for an LP problem due to: O…
A: We have given that The feasible region is considered to be case of unbounded ess for an LP
Q: A publishing company sells 400,000 copies of a certain book each year. Ordering the entire amount…
A: Let C is the cost of the books and B is the most economical lot size, i.e. the production run size.…
Q: A closed rectangular box with a volume of 81 cm³ is made from two kinds of materials. The top and…
A: X= 3, Y = 3 , Z = 9
Q: chapter 4.6 optimization #39 a poster is to contain 108 in2 of printed with margins of 6 in…
A: It is given that, the poster contains 108 square inches and the margins are 6 inches in top and…
Q: rectangular garden is divided into four fenced side-by-side plots, with a total area of 5000 m2 .…
A: Consider the given area of rectangle is 500m2
Q: If the optimality has been arrived but the artificial variable is still in the basis then the LP…
A: Given: The objective is to choose the correct option from the given choices, It is given that, If…
Q: A closed rectangular box with a volume of 81 cm³ is made from two kinds of materials. The top and…
A: We use langrange multiplier method
Q: Make brief notes (not more than one page) on constrained optimisation and Lagrange multiplier…
A: Given: Constrained optimization and Lagrange multiplier method
Q: The oil company has three refineries located throughout the country with production capacity (120,…
A:
Q: A manufacturer has a steady annual demand for 10,850 cases of sugar. It costs $7 to store 1 case for…
A:
Q: In Genshin Impact, the optimal crit rate x to crit damage y ratio can be obtained by maximizing the…
A: For relative maximum or minimum To maximize or minimize a function f(x) 1st we need to find its…
Q: The region of feasible solution in LPP graphical method is called... Unbounded region Infinite…
A:
Q: In Genshin Impact, the optimal crit rate r to crit damage y ratio can be obtained by maximizing the…
A: Given information:The ratio of optimal crit rate to crit damage y is found by maximising the…
Step by step
Solved in 2 steps
- Consider the transportation problem having the cost and requirement table, FIND THE OPTIMAL SOLUTION USING VOGEL APPROXIMATION METHOD AND DRAW NETWORK SHOWING THE QUANTITIES OBTAINED IN THE FINAL ITERATION WITH THE OPTIMAL VALUE OF Z.A restaurant requires different numbers of full-time employees on different days of the week.Union rules state that each full-time employee must five consecutive days and then two daysoff. The management office wants to meet its daily requirements (Monday: 11, Tuesday: 16,Wednesday: 14, Thursday: 15, Friday: 18, Saturday: 19 and Sunday: 23) using only full-timeemployees. Formulate an LP that the restaurant can use to minimize the number of full timeemployees who must be hiredFind the feasible solution of the given problem using two methods: Least Cost Method Vogiel's Method/Penalty Method
- The supervisor at the Precision Machine Shop wants to determine the staffing policy that minimizes total operating costs. The average arrival rate at the tool crib, where tools are dispensed to the workers, is eight machinists per hour. Each machinist’s pay is $25 per hour. The supervisor can staff the crib either with a junior attendant who is paid $13 per hour and can process 12 arrivals per hour or with a senior attendant who is paid $16 per hour and can process 16 arrivals per hour. Which attendant should be selected, and what would be the total estimated hourly cost?With the extra profits generated from the new customers, Jacobi is considering expanding his product range. He is interested in stocking a new type of motorcycle headset camera. To fit with current business plans, the new product would have to generate a minimum of 37.5% margin to be worthwhile. With that in mind, he hypothesizes that customers will be willing to pay at least $350 for this product, which is the minimum sale price for it to be viable at the specified margin. To test if his belief is true, Jacobi hires a market researcher (you) to determine how much customers may be willing to pay for this product. You collect data from a sample of 100 motorcycle enthusiasts, all of whom resemble Jacobi’s usual clientele, and determine that the average amount people are willing to pay is $364, with a standard deviation of $35. Using this information, you conduct a hypothesis test at a 5% level of significance to check whether Jacobi’s belief is justified and to help him decide whether to…what is the minimum cost of moving all bulldozers to the sites?
- Suppose that a company needs 5 ×10,000 items during a year and that preparation costs are $5 for each production run. Suppose further that it costs the company $3 to produce each item and $2 to store an item for up to a year. If each production run consists of x items, find x so that the total costs of production and storage are minimized. How did you verify that the amount found in the this problem was a minimum? It is not sufficient to just identify then process, you must explain how it applied to this problem in particular.Suppose the feasible region has four corners at these points (0,0), (8,0), (0,12), and (4,8). If the profit formula is P = $2x + $4y, what is the maximum profit possible?How to find feasible region?
- 1. Solve for minimum cost method and stepping stone methodA city is setting up community garden plots for residents living in apartments. The plots will be arranged as shown and each will be 32 m2. Fencing will run between the plots and around the entire garden. The fencing between the lots costs $5/m and the fencing around the entire area costs $10/m. What should the dimensions of the plots be to minimize the cost of the fencing? Be sure to check that your answer is indeed for a minimum.Find maximum and minimum value with langranfe multiplier