The problem below involves three variables. Solve it with the simplex method, Excel, or some other technology. Patio Iron makes wrought iron outdoor dining tables, chairs, and stools. Each table uses 8 feet of a standard width wrought iron, 2 hours of labor for cutting and assembly, and 2 hours of labor for detail and finishing work. Each chair uses 6 feet of the wrought iron, 2 hours of cutting and assembly labor, and 1.5 hours of detail and finishing labor. Each stool uses 1 foot of the wrought iron, 1.5 hours for cutting and assembly, and 0.5 hour for detail and finishing work, and the daily demand for stools is at most 18. Each day Patio Iron has available at most 142 feet of wrought iron, 63 hours for cutting and assembly, and 50 hours for detail and finishing. If the profits are $60 for each dining table, $48 for each chair, and $36 for each stool, how many of each item should be made each day to maximize profit? tables chairs stools Find the maximum profit. $

The problem below involves three variables. Solve it with the simplex method, Excel, or some other technology. Patio Iron makes wrought iron outdoor dining tables, chairs, and stools. Each table uses 8 feet of a standard width wrought iron, 2 hours of labor for cutting and assembly, and 2 hours of labor for detail and finishing work. Each chair uses 6 feet of the wrought iron, 2 hours of cutting and assembly labor, and 1.5 hours of detail and finishing labor. Each stool uses 1 foot of the wrought iron, 1.5 hours for cutting and assembly, and 0.5 hour for detail and finishing work, and the daily demand for stools is at most 18. Each day Patio Iron has available at most 142 feet of wrought iron, 63 hours for cutting and assembly, and 50 hours for detail and finishing. If the profits are $60 for each dining table, $48 for each chair, and $36 for each stool, how many of each item should be made each day to maximize profit? tables chairs stools Find the maximum profit. $

Practical Management Science

6th Edition

ISBN:9781337406659

Author:WINSTON, Wayne L.

Publisher:WINSTON, Wayne L.

Chapter11: Simulation Models

Section: Chapter Questions

Problem 63P: It costs a pharmaceutical company 75,000 to produce a 1000-pound batch of a drug. The average yield...

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It costs a pharmaceutical company 75,000 to produce a 1000-pound batch of a drug. The average yield from a batch is unknown but the best case is 90% yield (that is, 900 pounds of good drug will be produced), the most likely case is 85% yield, and the worst case is 70% yield. The annual demand for the drug is unknown, with the best case being 20,000 pounds, the most likely case 17,500 pounds, and the worst case 10,000 pounds. The drug sells for 125 per pound and leftover amounts of the drug can be sold for 30 per pound. To maximize annual expected profit, how many batches of the drug should the company produce? You can assume that it will produce the batches only once, before demand for the drug is known.
Green Vehicle Inc., manufactures electric cars and small delivery trucks. It has just opened a new factory where the C1 car and the T1 truck can both be manufactured. To make either vehicle, processing in the assembly shop and in the paint shop are required. It takes 1/25 of a day and 1/75 of a day to paint a truck of type T1 and a car of type C1 in the paint shop, respectively. It takes 1/50 of a day to assemble either type of vehicle in the assembly shop. AT1 truck and a C1 car yield profits of $325 and $250, respectively, per vehicle sold. The aim of the objective function for Green Vehicle Inc. should be to Maximize the objective value. The optimum solution is: Number of trucks to be produced per day = 12.50 (round your response to two decimal places). Number of cars to be produced per day = 37.50 (round your response to two decimal places). Optimal solution value =(round your response to two decimal places).
Green Vehicle Inc., manufactures electric cars and small delivery trucks. It has just opened a new factory where the C1 car and the T1 truck can both be manufactured. To make either vehicle, processing in the assembly shop and in the paint shop are required. It takes 1/40 of a day and 1/75 of a day to paint a truck of type T1 and a car of type C1 in the paint shop, respectively. It takes 1/45 of a day to assemble either type of vehicle in the assembly shop. A T1 truck and a C1 car yield profits of $275 and $225, respectively, per vehicle sold. The aim of the objective function for Green Vehicle Inc. should be to Maximize the objective value. The optimum solution is: Number of trucks to be produced per day = nothing (round your response to two decimal places).
Green Vehicle Inc., manufactures electric cars and small delivery trucks. It has just opened a new factory where the C1 car and the T1 truck can both be manufactured. To make either vehicle, processing in the assembly shop and in the paint shop are required. It takes 1/25 of a day and 1/60 of a day to paint a truck of type T1 and a car of type C1 in the paint shop, respectively. It takes 1/45 of a day to assemble either type of vehicle in the assembly shop. A T1 truck and a C1 car yield profits of $300 and $220, respectively, per vehicle sold. The optimum solution is: Number of trucks to be produced per day = ? (round your response to two decimal places).
Green Vehicle Inc., manufactures electric cars and small delivery trucks. It has just opened a new factory where the C1 car and the T1 truck can both be manufactured. To make either vehicle, processing in the assembly shop and in the paint shop are required. It takes 1/40 of a day and 1/60 of a day to paint a truck of type T1 and a car of type C1 in the paint shop, respectively. It takes 1/50 of a day to assemble either type of vehicle in the assembly shop. AT1 truck and a C1 car yield profits of $325 and $220, respectively, per vehicle sold. The aim of the objective function for Green Vehicle Inc. should be to Maximize the objective value. The optimum solution is: Number of trucks to be produced per day = 240 (round your response to two decimal places).
4) The making of rivet holes in structural steel members can be done by 2 methods. The first method consists of laying out the position of the holes in the members and using a drill press costing P100k. The machinist is paid P60 per hour and he can drill 80 holes per hour. The second method makes use of a multiple-punch machine costing P80k. The punch operator is paid P40 an hour and he can punch out 1 hole for 3 seconds. This method also requires an expense of P1.25 per hole to set the machine. (a) if all other costs are assumed equal, what is the total cost for each machine for 10k holes, assuming the total cost of each machine to be charged to these holes? (b) for how many holes will the costs be equal?
Assuming your company is producing Apple and Samsung phone cases. It is required to process in the assembly and paint shops to make either phone case. It takes 1/60 of a day and 1/40 of a day to paint an Apple case and a Samsung case in the paint shop, respectively. It takes 1/50 of a day to assemble either type of case in the assembly shop. An Apple phone case and a Samsung phone case yield profits of $300 and $220, respectively, per case sold. What is a maximum-profit daily production plan for your company?
. A group of students organizes a bake sale in which they sell hundreds of cookies at $1per piece. They set up a table on campus and wait for students to come and purchasetheir cookies. Consider the following variables in this bake sale operation:1. Size of the cookies2. Weather conditions on campus3. Organization of the table4. Number of cookies sold5. Competition from other fund-raisers coinciding on campus6. Amount of advertising and shouting of the students at the bake sale table7. Number of students on campus that dayWhich of these variables is an output variable?a. 3b. 4c. 5d. None of the above
A custom motor cycle shop is experiencing high demand from its customers for its services. The owner performs all tasks relating to customization. Assume each customer brings one motor cycle for customization. The owner needs to determine if he needs to add more help to meet customer demand. A week has 40 hours ( maximum amount of time for the owner to work) The maximum number of customizations that can be done per week is 10 bikes ( if there is no wasted time). The following is the data collected from observations for a typical week : Every Friday the shop is cleaned by the owner. This takes 4 hours. - 15 % of the customizations needs rework which takes 50 % more time than regular customization - 10 % of the customers will be called by the owner. This takes 2 hours per customer. Determine OEE. How should the owner handle the business ? Show all formulas used, calculations and results. Do on Blk Bd For the toolbar, press ALT+F10 (PC) or ALT+FN+F10 (Mac).
Digital Imaging (DI) produces color printers for both the professional and consumer markets. The DI consumer division recently introduced two new color printers. The DI-910 model can produce a 4”×6” borderless color print in approximately 37 seconds. The more sophisticated and faster DI-950 can even produce a 13”×19” borderless color print. Financial projections show profit contributions of $42 for each DI-910 and $87 for each DI-950. The printers are assembled, tested, and packaged at DI’s plant located in New Bern, North Carolina. This plant is highly automated and uses two manufacturing lines to produce the printers. Line 1 performs the assembly operation with times of 3 minutes per DI‑910 printer and 6 minutes per DI-950 printer. Line 2 performs both the testing and packaging operations with times of 4 minutes per DI-910 printer and 2 minutes per DI-950 printer. The shorter time for the DI-950 printer is a result of its faster print speed. Both manufacturing lines are in operation…
Can you check my work and tell me why I am not getting the answer $9100? Model Inc. has to transport 100 bags of Type Abags, 100 bags of Type B bags, and 100 bagsof Type C bags. They can hire Truck and Minivans. Each truck can carry 10 bags of Type Abags, 20 bags of Type B bags, and 10 bags ofType C bags. On the other hand, each minivancan carry 20 bags of Type A bags, 5 bags ofType B bags, and 10 bags of Type C bags. Eachtruck's rental cost is $1000, and eachminivan's rental cost is $850. There are only 5truck drivers available to drive the trucks(Hint:It means the number of trucks should be lessthan or equal to 5). If Model Inc wants tominimize the transportation cost, how manytrucks and vans should they rent? (PossibleAnswer: $9100) Data A B C COST TRUCK 10 20 10 $ 1,000.00 MINIVAN 20 5 10 $ 850.00 Model…
Sleek Sdn. Bhd. is planning on introducing 2 new stool designs (Deni & Arni) for their 2022 furniture catalogue. Each stool is made up of 4 legs and 1 seat. Both designs use the same seat. Deni has shorter (1.5 foot) legs, while Arni has longer (2.5 foot) legs. It takes 0.1 hours of labour to cut and shape a short leg, 0.15 hours to do the same for a long leg, and 0.5 hours to produce a seat. It takes an additional 0.3 hours to attach a set of legs to a seat for either design. The estimated profit is RM25 for each Deni sold and RM45 for each Arni sold. Sleek has unlimited access to material for seats, but only has 500 feet of material for the legs, and 75 labour hours available. Formulate a Linear Program for Sleek Sdn. Bhd. that optimises profit. Assume that Sleek is able to sell all stools that they make and that they must have zero leftover legs and seats.