To find the initial feasible solution of transportation problem the method which starts allocation from the lowest cost is known as Vogel's approximation [True / False]
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Question#2:Choose or EncircleTrue/False
![2.1.
To find the initial feasible solution of transportation problem the method which starts allocation
from the lowest cost is known as Vogel's approximation [True / False]
In the linear programming, the decision variables represents mathematical equation of the
limitations imposed by the problem [True / False]
2.2.
2.3.
Most of the models consisting by operations research field are probabilistic [True / False]
2.4.
The equality of the linear programming problem in graphical method are always converted to
inequality [True / False]](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F017abb2e-0522-47de-ba8e-e00622bab0b4%2Ff37869ef-3948-45a8-9199-9bef4f19a360%2F154f6uo_processed.jpeg&w=3840&q=75)
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- 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.Lemingtons is trying to determine how many Jean Hudson dresses to order for the spring season. Demand for the dresses is assumed to follow a normal distribution with mean 400 and standard deviation 100. The contract between Jean Hudson and Lemingtons works as follows. At the beginning of the season, Lemingtons reserves x units of capacity. Lemingtons must take delivery for at least 0.8x dresses and can, if desired, take delivery on up to x dresses. Each dress sells for 160 and Hudson charges 50 per dress. If Lemingtons does not take delivery on all x dresses, it owes Hudson a 5 penalty for each unit of reserved capacity that is unused. For example, if Lemingtons orders 450 dresses and demand is for 400 dresses, Lemingtons will receive 400 dresses and owe Jean 400(50) + 50(5). How many units of capacity should Lemingtons reserve to maximize its expected profit?Timely Transport provides local delivery service for a number of downtown and suburban businesses. Delivery charges are based on distance and weight involved for each delivery: 10 cents per pound and 15 cents per mile. Also, there is a $10 handling fee per parcel.a. Develop an expression that summarizes delivery charges.b. Determine the delivery charge for transporting a 40-pound parcel 26 miles.
- A manufacturing firm closed down the production of a certain unprofitable product line.This necessitated the rational utilization of released excess production capacity.Management has been contemplating to devote this excess capacity to the manufacture of one or more of the three products A, B and C. The details about available excess machine capacity and machine requirements for the various products are given in I and II.I. Machine Type Available access Machine Time Milling Machine 250 hours / week Lathe 150 hours /week Ginder 50 hours /week II. Machine Type Machine hour requirements per unit of product A B C Milling Machine 8 2 3 Lathe 4 3 0 Ginder 2 0 1 It was assumed that the unit profit would be $20, $6 and$8 respectively, for products A, B and C. i. Formulate the L.P. problemii. Solve the problem by simplex methodLong-Life Insurance has developed a linear model that it uses to determine the amount of term life insurance a family of four should have, based on the current age of the head of the household. The equation is:y = 850 − .1xwherey = Insurance needed ($000)x = Current age of head of household a. Plot the relationship on a graph. b. Use the equation to determine the amount of term life insurance to recommend for a family of four if the head of the household is 30 years old.Problem 7-19 eBook Given the linear program Max 3A +48 s.t. Y -1A+ 1A + 2A + s.t. 28 ≤ 8 2B ≤ 12 18 ≤ 16 Α, Β 2 0 a. Write the problem in standard form. For those boxes in which you must enter subtractive or negative numbers use a minus sign. (Example: -300) Al+ A+ A+C A+ B+ B B+ B B b. Select the correct graph that shows the optimal solution for the problem. S1 S1 + + S₂ + S2 + S3 53 A, B, S1, S2, S3 A Q☆
- allons of deionized water from each wholesaler to each distribution center is shown in the following table: Question Viewer a. Which of the following statements regarding setting up the tableau for the optimal solution for this problem is true? B. The sum of supply capacities is greater than the sum of demands, so a dummy distribution center is needed. C. The sum of supply capacities is less than the sum of demands, so a dummy wholesaler is needed. b. What is the total cost of the solution? The optimal cost is $ ((Enter your response rounded to the nearest dollar.)Please show how to solve b3.4-15* A cargo plane has three compartments for storing cargo: front, center, and back. These compartments have capacity limits on both weight and space, as summarized below: Weight Саpacity (Tons) Space Сapacity (Cubic Feet) Compartment Front 7,000 9,000 5,000 12 Center 18 Back 10 Furthermore, the weight of the cargo in the respective compart- ments must be the same proportion of that compartment's weight capacity to maintain the balance of the airplane.
- Klein Chemicals, Inc., produces a special oil-based material that is currently in short supply. Four of Klein's customers have already placed orders that together exceed the combined capacity of Klein's two plants. Klein's management faces the problem of deciding how many units it should supply to each customer. Because the four customers are in different industries, different prices can be charged because of the various industry pricing structures. However, slightly different production costs at the two plants and varying transportation costs between the plants and customers make a "sell to the highest bidder" strategy unacceptable. After considering price, production costs, and transportation costs, Klein established the following profit per unit for each plant-customer alternative. Plant Clifton Springs Danville Plant Clifton Springs 2 Danville D₁ D3 D₂ $32 $34 $32 $40 $38 $34 $30 $28 The plant capacities and customer orders are as follows. Customer Capacity (units) 5,000 3,000 3 4…Maximize Profit=123 L + 136 S 17 L+11 S≤ 3000 6 L+9 S≤2500 L20 and S20 (Availability of component A) (Availability of component B) Show Transcribed Text Implement the linear optimization model and find an optimal solution. Interpret the optimal solution. The optimal solution is to produce LaserStop models and SpeedBuster models. This solution gives the possible profit, which is $. (Type integers or decimals rounded to two decimal places as needed.)Which of the following would be most appropriate basis for apportioning machinery insurance costs to cost centers within a factory? Select one: a. The flor area occupied by the machinery in each cost Centre b. Number of machine in each cost Centre c. The operating hours of each machinery in each cost center d. The value of machinery in each cost center