A company assembles three types of models- trains, trucks and cars using three operations. The daily limits on the available times for the three operations are 430, 460 and 420 minutes, respectively and the revenue per unit of toy train, truck and car are $3, $2 and $5, respectively. The assembly times per train at the three operations are 1, 3 and 1 minutes, respectively. The corresponding times per truck and per car are (2,0,4) and (1,2,0) minutes (zero time indicates that the operation is not used). Formulate LPP and find the optimal solution. If the availability of operations 1, 2 and 3 are changed to 438,

A company assembles three types of models- trains, trucks and cars using three operations. The daily limits on the available times for the three operations are 430, 460 and 420 minutes, respectively and the revenue per unit of toy train, truck and car are $3, $2 and $5, respectively. The assembly times per train at the three operations are 1, 3 and 1 minutes, respectively. The corresponding times per truck and per car are (2,0,4) and (1,2,0) minutes (zero time indicates that the operation is not used). Formulate LPP and find the optimal solution. If the availability of operations 1, 2 and 3 are changed to 438,

Name: A company assembles three types of models- trains, trucks and cars us
Uploaded: 2024-03-20T07:07:26.000Z
Channel: Bartleby
Description: A company assembles three types of models- trains, trucks and cars using threeoperations. The daily limits on the available times for the three operations are 430, 460and 420 minutes, respectively and the revenue per unit of toy train, truck and car

Calculus: Early Transcendentals

8th Edition

ISBN:9781285741550

Author:James Stewart

Publisher:James Stewart

Chapter1: Functions And Models

Section: Chapter Questions

Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...

See similar textbooks

Related questions

Q: A manufacturer of bicycles builds 1-, 3- and 10-speed models. The bicycles are made of both aluminum…

Q: Flint lab produces 4 high tech product types. Each of the products must be wired, drilled, assembled…

A: let A=Product A, B=Product B, C=Product C, D=Product D

Q: A furniture company makes dining room furniture. A buffet requires 40hours for construction and 10…

A: A furniture company makes dining room furniture. A buffet requires 40 hours for construction and 10…

Q: E A famine relief effort is being mounted and there are three types of food bundles that can be…

A: This question is related to linear programming problem. Solve in step 2.

Q: A patient takes vitamin pills. Each day he must have at least 1080 IU of vitamin A, 16 mg of vitamin…

Q: 3. The microwave ovens and stoves of Brink App Store are on sale. Each microwave oven needs 2 hours…

Q: The Donaldson Furniture Company produces three types of rocking chairs: the children's model, the…

A: Given that maximum time available for cutting is 178 hours, 112 hours for construction and 88 hours…

Q: The Donaldson Furniture Company produces three types of rocking chairs: the children's model, the…

A: Let x be the number of children's chairs, y be the number of standard chairs and z be the number of…

Q: Assume that the company produces 100 pound sacks of 35-25-15 fertilizer for lawns and 100 pound…

A: Let the company should make x sacks of lawn fertilizer and y sacks of garden fertilizer in order to…

Q: A supplier ships goods from Richmond, VA to three market places in 3 cities (Chicago, IL; Athens,…

A: Given information:The supplier ships goods from Richmond, VA to three marketplaces in three cities:…

Q: the distribution centres and the dealers together with the monthly supply and demand figures given…

A: D1 D2 D3 D4 D5 Supply S1 100 150 200 140 35 400 S2 50 70 60 65 80 200 S3 40 90 100 150 130…

Q: The Donaldson Furniture Company produces three types of rocking chairs: the children's model, the…

A: The Donald's furniture company produces three types of rocking chairs The time needed for each chair…

Q: Correlation Matrix BW WL Pearson's r p-value Pearson's r p-value BW 0.649 <.001 WL

A: The objective is to validate if there is a linear relationship between BW and WL at the population…

Q: Kindly give me a detailed response. Thank you.

A: We will be using linear programming to identify the optimal schedule and will use Excel solver to…

Q: A furniture manufacturer, makes chairs coffee tables and dining room tables. Each chair requires 10…

A: Given, A furniture manufacturer, makes chairs coffee tables and dining room tables. time duration…

Q: Daniel is on a diet and he wants to limit his food intake to 109 g carbohydrate, 103 g fat, and 153…

A: Given: The total intake of Carbohydrate=109 g, Fat=103 g, Calories= 153g Breakfast: Carbohydrate=3…

Q: WatWoodYuDU, Inc. must produce at least 500 bar stools and 1,200 step stools. They must also produce…

Q: The Donaldson Furniture Company produces three types of rocking chairs: the children's model, the…

A: According to the given data, Let children's model be x Standard model be y and Executive model be…

Q: 2. Early showerheads consumed either 5 or 7 gallons of water per minute (gpm). Federal plumbing…

Q: A plant food is made from three chemicals, labeled I, II, and I. In each batch of the plant food,…

A: Consider the provided question, Let: Amount of chemical I = x kg Amount of chemical II = y kg Amount…

Q: A clothing manufacturer makes trousers,skirts and blouses.Each trouser requires 20 minutes of…

Q: A patient takes vitamin pills. Each day he must have at least 540 IU of vitamin A, 24 mg of vitamin…

Topic Video

Question

A company assembles three types of models- trains, trucks and cars using three
operations. The daily limits on the available times for the three operations are 430, 460
and 420 minutes, respectively and the revenue per unit of toy train, truck and car are $3,
$2 and $5, respectively. The assembly times per train at the three operations are 1, 3 and
1 minutes, respectively. The corresponding times per truck and per car are (2,0,4) and
(1,2,0) minutes (zero time indicates that the operation is not used). Formulate LPP and
find the optimal solution. If the availability of operations 1, 2 and 3 are changed to 438,
500 and 410 minutes, respectively, determine the effect on the current optimal solution.
Q.9

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

This is a popular solution!

SEE SOLUTION Check out a sample Q&A here

Step 1

Step 2

Step 3

Step 4

Trending now

This is a popular solution!

Step by step

Solved in 4 steps with 2 images

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

$Optimization$

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, calculus and related others by exploring similar questions and additional content below.

Similar questions

There are three factories located at AR, IN, and TX respectively. From these locations, a certain commodity is to be delivered to each of the two warehouses situated at A and B. The revenue per commodity item is $10. The weekly demand of the warehouse A and B are respectively 50 and 35 units of the commodity while the production capacity of the factories at AR, IN, and TX are respectively 28, 22, and 35 units. The cost of transportation per unit is given as belows. Cost Warehouse A Warehouse B AR 5 3 IN 6 6 TX 2 4 To maintain a good relationship with all the factories, warehouse B requires that it receives at least 40% of its product from factory in TX. Realize that it is making good profit in warehouse A, AR requires that at least 35% of its product shipped to warehouse A. Formulate (without solving) a linear programming problem to maximize the profit.
An online retailer requires three different size containers to package its products for shipment. The costs of these containers A, B, and C, and their capacities are shown as follows: Container A B C Cost ($ each) 4 6 7 Capacity (cu in) 200 400 600 If the retailer orders 2500 containers with a total capacity of 1,100,000 cu in at a cost of $15,000, how many of each are in the order?
For his classes, Professor Wright gives three types of quizzes, objective, recall, and recall-plus. To keep his students on their toes, he has decided to give at least 20 quizzes next quarter. The three types, objective, recall, and recall-plus quizzes, require the students to spend, respectively, 10 minutes, 30 minutes, and 60 minutes for preparation, and Professor Wright would like them to spend at least 12 hours(720 minutes) preparing for these quizzes above and beyond the normal study time. An average score on an objective quiz is 5, on a recall type 6, and on a recall-plus 7, and Dr. Wright would like the students to score at least 130 points on all quizzes. It takes the professor one minute to grade an objective quiz, 2 minutes to grade a recall type quiz, and 3 minutes to grade a recall-plus quiz. How many of each type should he give in order to minimize his grading time?
A company makes three components for sale. The components are processed on two machines: a shaper and a grinder. The time required. (in minutes) on each machine are as follows: Component Shaper Time Grinder Time A 6 4 B 4 5 C 4 2 The shaper is available for 7200 min. and grinder for 6600 min. No more than 200 units of component C can be sold, but up to 1000 units of each of the other components can be sold. In fact the company has orders for 600 units of component A that must be satisfied. The profit contributions for components A, B and C are $8, $6 and $9 respectively. Formulate the problem for deciding the production quantities. Solve the problem using Excel Solver. Run the sensitivity analysis report in Excel Solver. What are the objective coefficient ranges (Range of Optimality) for each coefficient. Interpret these. What are the dual prices for each constraint? Interpret these. What are the right-hand side ranges (Range of Feasibility)? Interpret them. If more time is…
A researcher believed that the number of rental cars in service by a car rental company would have an impact on the total annual revenue for that car rental company. Five small car rental companies were surveyed, with the number of Cars in service recorded in units of 1000 (so if a car rental company had 54000 cars in service, a 54 would be recorded) and Annual Revenue measured in millions of dollars (so an Annual Revenue of $10,000,000 would be recorded as 10). The data follows: Cars (1,000s) Annual Revenue ($ millions)11.5 118 10.0 135 9.0 100 5.5 37 3.3 32 Part of the Excel-generated Simple Linear Regression output is provided below: ANOVA df SS MS F Significance F Regression 1 7891.863897 7891.863897 22.91180151 0.017339231 Residual 3 1033.336103 344.4453677 Total 4 8925.2 Coefficients Standard Error t Stat P-value Intercept -19.12490108 23.1658578…
jjackson10jayden and adeotegbeye each had some money at first. jjackson10jayden started spending $1.20 daily. After 15 days, adeotegbeye started spending 4/3 of what jjackson10jayden spent daily. When adeotegbeye spent all of his money, he had spent $11.60 more than jjackson10jayden. a) How many days did adeotegbeye take to spend all of his money? b) How much did jjackson10jayden spend in total when adeotegbeye spent all of his money?
The Metropolitan Bus Company (MBC) purchases diesel fuel from American PetroleumSupply. In addition to the fuel cost, American Petroleum Supply charges MBC $250 perorder to cover the expenses of delivering and transferring the fuel to MBC’s storage tanks.The lead time for a new shipment from American Petroleum is 10 days; the cost of holding a gallon of fuel in the storage tanks is $0.04 per month, or $0.48 per year; and annualfuel usage is 150,000 gallons. MBC buses operate 300 days a year.a. What is the optimal order quantity for MBC?b. How frequently should MBC order to replenish the gasoline supply?c. The MBC storage tanks have a capacity of 15,000 gallons. Should MBC considerexpanding the capacity of its storage tanks?d. What is the reorder point?
A famine relief effort is being mounted and there are three types of food bundles that can be flown out during each delivery. Bundle 1 has 4 kg. of flour, 4 kg. of sugar and 12 litres of water. Bundle 2 has 12 kg. of flour, 4 kg. of sugar and 4 litres of water and Bundle 3 has 8 kg. of flour, 8 kg. of sugar and 8 litres of water. The relief agency has 5200 kg. of flour, 3792 kg. of sugar and 6000 litres of water for each shipment. Bundle 1 can provide for 10 people between deliveries, Bundle 2 for 8 people and Bundle 3 for 11 people. How many bundles of each type should the relief agency send on each flight in order to maximize the number of people being fed. Do this problem by setting up a linear programming problem and determining the vertices of the feasibility set. Enter the number of bundles of types 1, 2, and 3 (in that order) into the answer box below, separated with commas.
The Cheery Cherry Chair Company makes three types of chairs, the Montegue, the Capulet, and the Verona. Each chair requires assembly, finishing, and a certain amount of wood to make. The assembly area can be used for at most 10 hours per day. To keep him busy, the finishing person needs to work at least 6 hours per day. Producing a Montegue requires 1 hour of assembly, 2 hour of finishing, and 9 board feet of wood. Producing a Capulet requires 1 hour of assembly, 1 hour of finishing, and 9 board feet of wood. Finally, producing a Verona requires 2 hour of assembly, 1 hour of finishing, and 3 board feet of wood. If the company wants to minimize the amount of cherry wood used, how many should they make of each model? (It is possible to complete a fractional part a chair in a given day; in the long run you end up with completed chairs.) Number of Montegues = Number of Capulets = Number of Veronas = How many board feet of cherry wood would be used each day?
Each week at a furniture factory, 2000 work hours are available in the construction department, 1400 workhours in the painting department, and 1300 work hours in the packing department. Producing a chairrequires 2 hours of construction, 1 hour of painting, and 2 hours for packing. Producing a table requires 4hours of construction, 3 hours of painting, and 3 hours for packing. Producing a chest requires 8 hours ofconstruction, 6 hours of painting, and 4 hours for packing. If all available time is used in every department,how many of each item is produced each week? Do not solve this problem, just write the augmentedmatrix associated with this problem. Specify each variable used in the equation.