Question

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 P in dollars?

Answer #1

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 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....

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 furniture company manufactures desks and chairs. Each desk
uses four units of wood, and each chair uses three units of wood. A
desk contributes $400 to profit, and a chair contributes $250. •
Marketing restrictions require that the number of chairs produced
be at least twice the number of desks produced. There are 2000
units of wood available.
a. What are the decision Variables?
B. what is the objective function?
C. What are the constraints?
D. Use Solver to...

Suppose that a furniture manufacturer makes chairs, sofas, and
tables. Consider the following chart of labor hours required and
available.
Chair
Sofa
Table
Daily labor available (labor- hours)
Carpentry
6
3
8
720
Finishing
1
1
2
144
Upholstery
4
6
0
320
The profit per chair is
$70,
per sofa
$50,
and per table
$100.
How many pieces of each type of furniture should be manufactured
each day to maximize the profit?

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...

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...

The Outdoor Furniture Corporation manufactures two products,
benches and picnic tables, for use in yards and parks. The firm
has two main resources: its carpenters (labor force) and a supply
of redwood for use in the furniture. During the next production
cycle, 980 hours of labor are available under a union agreement.
The firm also has a stock of 4,500 board feet of quality redwood.
Each bench that Outdoor Furniture produces requires 4 labor-hours
and 12 board feet of redwood;...

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...

Use below information for Questions 14 to 15:
Company X produces dining chairs and tables. The following
budget information is available:
Item
Dining Chairs
Tables
Total Cost
Machine Setups
250
600
TL48,100
Inspections
250
470
TL72,000
Labor
hours
2,100
2,410
Q-14) Compute total machine setups and inspection costs assigned
to Dining Chairs, using plantwide method if the allocation base is
labor hours.
Q-15) Compute total machine setups and inspection...

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