Question

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**

Answer #1

Let no of Tables be (X_{1)} and no chairs are
(X_{2}).

We have the objective function as 12X_{1} + 16
X_{2} = Z = Maximize

We have three constraints as follows:

**X _{1} + X_{2} < = 1200** (
Production volume level constraint)

X_{2} < = X_{1} / 2 or 2X_{2} <=
X_{1} or **- X _{1 +}
2X_{2} < = 0 (** Demand constraint)

**X _{1} - 3X_{2} <=600 ( Production
level constraint)**

**By graphical method we have X _{1}= 800 and
X_{2} = 400 and value of Z is 16000.**

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 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...

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 $ 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
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 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,
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 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 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
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c) What is the most likely shape of marginal cost curve
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1. Suppose the equation p(x,y)=-2x^2+80x-3y^2+90+100 models
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number of handmade rockers produced per week.
(1) How many chairs and how many rockers will give the maximum
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(2) Due to an insufficient labor force they can only make a
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