Question

A furniture company produces tables (X) and chairs (Y). Available resources have indicated that the production...

A furniture company produces tables (X) and chairs (Y). Available resources have indicated that the production volume level should not exceed 1200 units per week and the demand for chairs is at most half of that for tables. Further, the production level of tables can exceed three times the production of chairs by at most 600 units. If the company makes a profit of OMR12 and OMR 16 per unit respectively on tables and chairs, how many of each should be produced weekly in order to maximize the profit.

which of the following represents one of the constraints for the above business problem

Business   Operations-Management   
0 0
Add a commentTranscribed image text
Next >

Homework Answers

Answer #1

Let no of Tables be (X1) and no chairs are (X2).

We have the objective function as 12X1 + 16 X2 = Z = Maximize

We have three constraints as follows:

X1 + X2 < = 1200 ( Production volume level constraint)

X2 < = X1 / 2 or 2X2 <= X1 or - X1 + 2X2 < = 0 ( Demand constraint)

X1 - 3X2 <=600 ( Production level constraint)

By graphical method we have X1= 800 and X2 = 400 and value of Z is 16000.

0 0
Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Log In

Sign Up

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
4) A furniture manufacturing company manufactures tables and chairs. The relevant manufacturing data are given in...
4) A furniture manufacturing company manufactures tables and chairs. The relevant manufacturing data are given in the table below. How many tables and chairs should be manufactured each day to maximize profit? (12 POINTS) Note: Please clearly define your variables and indicate the objective function and the constraints. Indicate the scale of your axes, and write your final answer using a complete sentence with correct units. Department Table Labor-Hours per Unit Chair Labor-Hours per Unit Maximum Labor-Hours Available per Day...
A division of the Winston Furniture Company manufactures x dining tables and y chairs. Each table...
A division of the Winston Furniture Company manufactures x dining tables and y chairs. Each table requires 40 board feet of wood and 3 labor-hours. Each chair requires 16 board feet of wood and 4 labor-hours. In a certain week, the company has 3200 board feet of wood available and 520 labor-hours. If the profit for each table is $50 and the profit for each chair is $18, how many tables and chairs should Winston manufacture to maximize its profits...
3. A furniture manufacturer produces tables and chairs using three types of machines. The time required...
3. A furniture manufacturer produces tables and chairs using three types of machines. The time required to produce the furniture on each machine is given in the follow table: Hours required per item Machine Table Chair Hours available per week Router 1.5 1.0 1,000 Sander 3.0 4.5 2,000 Polisher 2.5 1.5 1,500 Tables will sell for $350 each and chairs will sell for $125 each. Management has determined that the ratio of chairs to tables produced must be at least...
A division of the Winston Furniture Company manufactures dining tables and chairs. Each table requires 40...
A division of the Winston Furniture Company manufactures dining tables and chairs. Each table requires 40 board feet of wood and 3 labor-hours. Each chair requires 16 board feet of wood and 4 labor-hours. The profit for each table is $40, and the profit for each chair is $30. In a certain week, the company has 3200 board feet of wood available and 520 labor-hours available. How many tables and chairs should Winston manufacture to maximize its profit? (Let x...
A manufacturer wants to maximize the profit of two products. Product I yields a profit of...
A manufacturer wants to maximize the profit of two products. Product I yields a profit of $ 1.50 per unit, and product II yields a profit of $2.00 per unit. Market tests and available resources have indicated the following constraints: • The combined production level should not exceed 1200 units per month. • The demand for product II is no more than half the demand for product I. • The production level of product I is less than or equal...
10) Natural Furniture Company manufactures three outdoor products, chairs, benches, and tables. Each product must pass...
10) Natural Furniture Company manufactures three outdoor products, chairs, benches, and tables. Each product must pass through the following departments before it is shipped: sawing, sanding, assembly, and painting. The time requirements (in hours) are summarized in the tables below. The production time available in each department each week and the minimum weekly production requirement to fulfill contracts are as follows: Minimum Capacity Production Department (In Hours) Product Level Sawing 450 Chairs 100 Sanding 400 Benches 50 Assembly 625 Tables...
❑A furniture Company produces tables and chairs. Each table takes four hours of labor from the...
❑A furniture Company produces tables and chairs. Each table takes four hours of labor from the carpentry department and two hours of labor from the finishing department. Each chair requires three hours of carpentry and one hour of finishing. During the current week, 260 hours of carpentry time are available and 120 hours of finishing time. Each table produced gives a profit of $60 and each chair a profit of $40. How many chairs and tables should be made? 1....
The following information is used for questions 28-30: The Hickory Cabinet & Furniture Company produces sofas,...
The following information is used for questions 28-30: The Hickory Cabinet & Furniture Company produces sofas, tables and chairs.  The plant uses three main resources to make furniture:  wood, upholstery and labor.  The unit profits, the resource requirements for each piece of furniture and the total resources available weekly are as follows:   Profit/unit Wood (lb) Upholstery (yd) Labor (hour) Sofa $400 7 12 6 Table 275 5 -- 9 Chair 190 4 7 5 Total available resources: 2250 1750 2000 The furniture is...
Part 3 – Steelcase Production Steelcase Corporation manufactures 3 basic products: chairs, desks, and tables. Below...
Part 3 – Steelcase Production Steelcase Corporation manufactures 3 basic products: chairs, desks, and tables. Below is chart which summarizes the number of labor hours spent for each product in each division. Chairs Desks Tables Process Carpentry 2 3 6 Finishing 1 1 1 Assembly 4 6 2 In a given week, Steelcase has 250 hours available for carpentry, 100 hours available for finishing, and 400 hours available for assembly. Steelcase makes a profit of $66 on each chair, $75...
A furniture company produces and sells 100 tables for $120 each. It has average fixed costs...
A furniture company produces and sells 100 tables for $120 each. It has average fixed costs of $50 and average variable costs of $35 at this production level. a) Calculate the company’s total cost, total revenue, total fixed cost, total variable cost and total profit. b) Is this company earning economic profit? Explain your answer and also highlight the difference between short run and long run. c) What is the most likely shape of marginal cost curve for a company...
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT