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

Expert Solution

Colby Messinger answered 1 year ago

A Furniture Company produces chairs and tables from two resources- labor and wood. The company has...

A Furniture Company produces chairs and tables from two resources- labor and wood. The company has 125 hours of labor and 45 board-ft. of wood available each day. Demand for chairs is limited to 5 per day. Each chair requires 7 hours of labor and 3.5 board-ft. of wood, whereas a table requires 14 hours of labor and 7 board-ft. of wood. The profit derived from each chair is $325 and from each table, $120. The company wants to determine...

The Pinewood Furniture Company produces chairs and tables from two resources, labor and wood. The company...

The Pinewood Furniture Company produces chairs and tables from two resources, labor and wood. The company has 80 hours of labor and 36 pounds of wood available each day. Demand for chairs is limited to six per day. Each chair requires 8 hours of labor and 2 pounds of wood to produce, while a table requires 10 hours of labor and 6 pounds of wood. The profit derived from each chair is $400 and from each table, $100. The company...

A furniture store manufactures 2 products; tables (X) and chairs (Y): the production process for each...

A furniture store manufactures 2 products; tables (X) and chairs (Y): the production process for each require a certain number of labor hours in the carpentry department and a certain number of labor hours in the painting department. Each table takes 3 hours of carpentry work and 2 hours of painting work. Each chair requires 4 hours of carpentry and 1 hour of painting. During the current month, 2,400 hours of carpentry time and 1,000 hours of painting time are...

5. The Pinewood Furniture Company produces chairs and tables from two resources—labor and wood. The company...

5. The Pinewood Furniture Company produces chairs and tables from two resources—labor and wood. The company has 80 hours of labor and 36 board-ft. of wood available each day. Demand for chairs is limited to 6 per day. Each chair requires 8 hours of labor and 2 board-ft. of wood, whereas a table requires 10 hours of labor and 6 board-ft. of wood. The profit derived from each chair is $400 and from each table, $100. The company wants to...

Flair Furniture Company produces inexpensive tables and chairs. The production process for each is similar in...

Flair Furniture Company produces inexpensive tables and chairs. The production process for each is similar in that both require a certain number of labor hours in the carpentry department and a certain number of labor hours in the painting department. Each table takes 3 hours of carpentry work, an hour and a half of assembly and 2 hours of finishing work. Each chair requires 4 hours of carpentry, and hour and 15 minutes of assembly and 1 hour of painting....

5.The Pinewood Furniture Company produces chairs and tables from two resources—labor and wood. The company has...

5.The Pinewood Furniture Company produces chairs and tables from two resources—labor and wood. The company has 80 hours of labor and 36 board-ft. of wood available each day. Demand for chairs is limited to 6 per day. Each chair requires 8 hours of labor and 2 board-ft. of wood, whereas a table requires 10 hours of labor and 6 board-ft. of wood. The profit derived from each chair is $400 and from each table, $100. The company wants to determine...

olve the following Math model graphically: X: # of tables to produce Y: # of chairs...

olve the following Math model graphically: X: # of tables to produce Y: # of chairs to produce Max Z = OMR 300 X + OMR 500 Y Subject to: X <= 4 Y <= 6 3x + 2Y <= 18

The Hickory Furniture Co. produces sofas and chairs. Their plant uses three main resources to make...

The Hickory Furniture Co. produces sofas and chairs. Their plant uses three main resources to make furniture –wood, upholstery and labor. The resource requirements and profits for each piece of furniture and the total resources available weekly are as follows: Sofa Chair Available Resource Wood (lbs) 7 4 1200 Upholstery (yds) 12 0 600 Labor (hrs) 6 10 400 Profit $500 $400 LINEAR PROGRAMMING (Hickory Furniture) __________ 1a. How many sofas should be produced? __________ 1b. How many chairs should...

G&G Furniture Co. produces chairs and tables. The following table gives the profit generated per unit,...

G&G Furniture Co. produces chairs and tables. The following table gives the profit generated per unit, as well as the amount of wood, labor and other materials required, per unit of each product along with their maximum monthly limits in terms of availability. Chairs Tables Max Limits profit $100 $125 Wood 20 lbs per unit 30 lbs per unit 6000 lbs Other Materials 1 lbs per unit 1 lbs per unit 400 lbs Labor 1.5 hours per unit 2 hours...

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 $50, and the profit for each chair is $40. 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...

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