Question

. Jones Furniture Company produces beds and desks for college
students. The production process requires carpentry and varnishing.
Each bed requires 6 hours of carpentry and 4 hour of varnishing.
Each desk requires 4 hours of carpentry and 8 hours of varnishing.
There are 36 hours of carpentry time and 40 hours of varnishing
time available. Beds generate $30 of profit and desks generate $40
of profit. Demand for desks is limited so at most 8 will be
produced. After solve the problem using the graphical method, the
number of desks to produce that maximizes the objective function
is:

a. 1

b. 2

c. 3

d. 4

Answer #1

❑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....

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...

The Electric Company produces generators and alternators for
industrial purposes. Each generator requires 3 hours of wiring and
2 hours of testing. Each alternator requires 2 hours of wiring and
4 hours of testing. There are 18 hours of wiring time and 20 hours
of testing time available. Generators earn $15 of profit per unit
and alternators earn $20 of profit per unit. What is the objective
function?

A company manufactures two products: large fans and medium fans.
Each large fan requires 3 hours of wiring and 2 hours of drilling.
Each medium fan requires 2 hours of wiring and 1 hour of drilling.
There are 480 hours of wiring time available and 280 hours of
drilling time available. Each large fan yields a profit of $25.
Each medium fan yields a profit of $18. The company wants to
manufacture at least 20 large fans. The objective is...

A company manufactures two products: large fans and medium fans.
Each large fan requires 3 hours of wiring and 2 hours of drilling.
Each medium fan requires 2 hours of wiring and 1 hour of drilling.
There are 480 hours of wiring time available and 280 hours of
drilling time available. Each large fan yields a profit of $25.
Each medium fan yields a profit of $18. The company wants to
manufacture at least 20 large fans. The objective is...

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 small company produces three computer components. Component A
requires 2 hours of fabrication and one hour of assembly, Component
B requires 3 hours of fabrication and one hour of assembly, and
Component C requires 2 hours of fabrication and 2 hours of
assembly. The company has 1000 hours of fabrication and 800 hours
of assembly available every week. Profit of Components A, B, and C
are $7, $8, and $10 respectively. Using the simplex method,
calculate how many components...

The Wellbuilt Company produces two types of wood chippers,
economy and deluxe. The deluxe model requires 3 hours to assemble
and 1/2 hour to paint, and the economy model requires 2 hours to
assemble and 1 hour to paint. The maximum number of assembly hours
available is 24 per day, and the maximum number of painting hours
available is 8 per day. If the profit on the deluxe model is $94
per unit and the profit on the economy model...

A manufacturer produces two products, P and Q, which when sold
earn contributions of £600 and £400 per unit
respectively. The manufacturer of each product requires
time on a lathe and a polishing machine. Each unit of P requires 2
hours on the lathe and 1 hour on the polishing machine, while Q
requires 1 hour on each machine. Each day, 10 hours are
available on the lathe and 7 hours on the polishing
machine. Determine the number of units of P and Q that...

The Wellbuilt Company produces two types of wood chippers,
economy and deluxe. The deluxe model requires 3 hours to assemble
and 1 2 hour to paint, and the economy model requires 2 hours to
assemble and 1 hour to paint. The maximum number of assembly hours
available is 24 per day, and the maximum number of painting hours
available is 8 per day. If the profit on the deluxe model is $90
per unit and the profit on the economy...

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