Akali is the only nurse in lonia. lonia has 21 ninja households distributed one-tenth of a mile along the main street. Each ninja household goes to see Akali for her services at most one time per week. There are additional dangers on the street going there-and back again which are equal to $0.5 for every tenth of the mile. The reservation price of each ninja to pay for Akali services is $10. To serve each ninja, Akali incurs $2 costs. What the maximum price should Akali charge if she wants to serve the whole lonia? How mu

Akali is the only nurse in lonia. lonia has 21 ninja households distributed one-tenth of a mile along the main street. Each ninja household goes to see Akali for her services at most one time per week. There are additional dangers on the street going there-and back again which are equal to $0.5 for every tenth of the mile. The reservation price of each ninja to pay for Akali services is $10. To serve each ninja, Akali incurs $2 costs. What the maximum price should Akali charge if she wants to serve the whole lonia? How mu

Practical Management Science

6th Edition

ISBN:9781337406659

Author:WINSTON, Wayne L.

Publisher:WINSTON, Wayne L.

Chapter10: Introduction To Simulation Modeling

Section: Chapter Questions

Problem 35P: Lemingtons is trying to determine how many Jean Hudson dresses to order for the spring season....

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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?
2. A firm makes two products X and Y and has a total production capacity of 9 tons per day.X and Y requiring the same production capacity. The same has a permanent contract to supply at least two tons of X and at least 3 tons of Y per day to another company. Each ton of X requires 20 machine hours of production time and each ton of Y requires 50 machine hours of production time. The daily maximum possible number of machine hours is 360. The entire firm's output can be sold and profit made is 80 R.O of X and 120 R.O per ton of Y. It is required to determine the production schedule for maximum profit and to calculate this profit. Formulate a LPP.
Please do not give solution in image formate thanku. 3. Kings Department Store has 625 rubies, 800 diamonds, and 700 emeralds from which they will make bracelets and necklaces that they have advertised in their Christmas brochure. Each of the rubies is approximately the same size and shape as the diamonds and the emeralds. Kings will net a profit of $250 on each bracelet, which is made with 2 rubies, 3 diamonds, and 4 emeralds, and $500 on each necklace, which includes 5 rubies, 7 diamonds, and 3 emeralds. Formulate as an LP problem to maximize profit?
The Sanders Garden Shop mixes two types of grass seed into a blend. Each type of grass has been rated (per pound) according to its shade tolerance, ability to stand up to traffic, and drought resistance, as shown in the table. Type A seed costs $1 and Type B seed costs $2. If the blend needs to score at least 300 points for shade tolerance, 400 points for traffic resistance, and 750 points for drought resistance, how many pounds of each seed should be in the blend? Type A Type B Shade Tolerance 1 1 Traffic Resistance 2 1 Drought Resistance 2 5 Formulate a LP Model for this problem.
Assume the demand for a company’s 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 soldfor $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.
Markus, Inc., has harvested 400 tons of lumber from a pine forest located outside of Manchester, 200 tons from a forest near Seattle, and 150 tons from a forest outside of Portland. Japan has placed an order for 300 tons at a price of $1200 per ton, Taiwan needs 300 tons and will pay $1000 per ton, and Singapore wants 250 tons at $1000 per ton. It costs Markus, Inc. $500 to get each ton from the pine forest to the port in Manchester, $400 per ton to the port in Seattle, and $300 per ton to Portland. Assume that each pine forest only supplies its closest port. The following table provides the cost for shipping each ton by sea from these ports to the respective countries: ________________________________________________________________________ SHIPPING COST ($/TON) OF LUMBER BY SEA TO: FROM JAPAN TAIWAN SINGAPORE Manchester 250 250 200 Seattle 250 200 200 Portland…
A diabetic patient needs at least 40 units of Vit. A, at least 30 units of Vit. C, and atleast 30 units of Vit. E each day. Each brand X multivitamin capsule contains 4 units of Vit. A, 6 units of Vit. C, and 2 units of Vit. E; each brand Y capsule contains 5 units of Vit.A, 3 units of Vit.C, and 5 units of Vit. E. If each brand X capsule costs P6.00 and eachbrand Y capsule costs P9.00, how many capsules should the patient take each day tominimize the costs? Solve using graphical method. Show complete solution.
Suppose that because of air pollution concerns, Jansen might have to lower the Reid vapor pressure maximum on each gas type (by the same amount). Use SolverTable to explore how such a change would affect Jansen’s optimal revenue
3. Mozers Garden Solutions 3a. Mozer’s Garden Solutions has a chain of retail stores in the Midwest. Mozer’s orders hedge trimmers from a wholesaler. Every year Mozer’s requires 9,000 hedge trimmers. The trimmers cost $250 per trimmer from their wholesaler. The estimated cost of ordering at the wholesaler and paying shipping fees is $200 per order: K = $200 The holding cost per hedge trimmer is estimated to be 10% of the cost of the trimmer h = 0.1 × $250 = $25 Using the economic ordering quantity model, what is the order size that would minimize the total costs for ordering and storing the hedge trimmers? EOQ = SQRT(2*K*R/h) 3b. Mozer’s also orders their garden rakes from a wholesaler. Every week Mozer’s requires 10 rakes. There are 50 weeks in a year. The rakes cost $50 per rake from their wholesaler. The estimated cost of ordering at the wholesaler and paying shipping fees is $45 per order: K = $45 The holding cost per rake is estimated to be 5% of the cost of the rake h = 0.05 ×…
Xolani has just completed matric and has enrolled at a University in Cape Town, tocomplete a BCom Degree. His dad is unable to drop and fetch Xolani due to workcommitments and therefore believes it best to purchase Xolani an entry-level car, notmore than R150 000. He has given Xolani the freedom to choose and purchase thecar. Xolani has two older brothers who are car enthusiasts with lots of experience.He decides to take them along to the car dealerships. They helped him find a car thatwas safe with a fair number of additional features and style. Xolani was happy to bedriving himself to Varsity on his first day. 1 - Read the scenario above and identify examples of the following family roles. Youmay make assumptions as you see fit. Explain your answers. Initiator Influencer User Decision maker Purchaser 2 - Read the scenario above and identify examples for each phase of Xolani’s decisionmaking process, when purchasing his car.
1. A distillery produces two types of alcohol for filling and distributing, the regular beer and the premium beer. A batch of regular costs $375 to manufacture and a container of the Premium beer costs $420. The manufacturer wishes to establish the weekly production plan that minimizes cost. Production of these products is limited to processing, testing and material. Each batch of regular beer requires 4 hours processing whereas each batch of premium requires 2 hours of processing. Further each batch of regular requires 4 hours of testing compared to 6 hours of testing for a batch of Super. A batch of regular and a batch of Super each require 1 litre of material. Processing and testing have a maximum of 100 and 180 hours available and the total material available is 40 litres. Because of an agreement, the sales of regular beer are limited to a weekly maximum of 20 batches and to honour an agreement with a loyal distributor, at least 10 batches of premium beer must be sold each week.…
ProHaul specializes in trans-American shipments for businesses through the delivery of containers. For every container the company loads on its trucks, ProHaul estimates the haul costs $1,000. In addition, containers are weighed and for each pound, there are hauling fees of $0.15. ProHaul plans to charge $0.49 per pound to his customers.The company finds out that to maintain the integrity of its containers, each container could only hold an average of 8,000 pounds. What would the company have to charge customers to make $5,000 in profit on each container?