Question

A company manufactures *x* units of Product *A*
and *y* units of Product *B*, on two machines, I and
II. It has been determined that the company will realize a profit
of $5/unit of Product *A* and a profit of $2/unit of Product
*B*. To manufacture a unit of Product *A* requires 6
min on Machine I and 5 min on Machine II. To manufacture a unit of
Product *B* requires 9 min on Machine I and 4 min on Machine
II. There are 5 hr of machine time available on Machine I and 3 hr
of machine time available on Machine II in each work shift. How
many units of each product should be produced in each shift to
maximize the company's profit?

Answer #1

A company manufactures x units of Product A
and y units of Product B, on two machines, I and
II. It has been determined that the company will realize a profit
of $4/unit of Product A and a profit of $3/unit of Product
B. To manufacture a unit of Product A requires 6
min on Machine I and 5 min on Machine II. To manufacture a unit of
Product B requires 9 min on Machine I and 4 min on...

A company manufactures two products, A and B, on two machines, I
and II. The profit is $3 on each unit of product A and $4 on each
unit of product B. To manufacture a unit of product A requires 6
minutes on machine I and 5 minutes on machine II. To manufacture a
unit of product B requires 9 minutes on machine I and 4 minutes on
machine II. There are 300 minutes of machine time available on
machine...

A company manufactures Products A, B, and
C. Each product is processed in three departments: I, II,
and III. The total available labor-hours per week for Departments
I, II, and III are 900, 1080, and 840, respectively. The time
requirements (in hours per unit) and profit per unit for each
product are as follows. (For example, to make 1 unit of product
A requires 2 hours of work from Dept. I, 3 hours of work
from Dept. II, and 2...

The Hamilton Company manufactures two products: X and
Y. Contribution margin per unit is determined as
follows:
Product
X Product Y
Revenue...........................................
$130................. $80
Variable Costs...................................
.$70................. $38
Contribution margin............................
$60................. $42
Total demand for X is 16,000 units and for Y is 8,000 units.
Machine hours are a scarce resource. 42,000 machine hours are
available during the year. Product X requires 6 machine hours per
unit, while Product Y requires 3 machine hours per unit. How many
units of X and...

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...

Determining the Optimal Product Mix with One Constrained
Resource
Comfy Fit Company manufactures two types of university
sweatshirts, the Swoop and the Rufus, with unit contribution
margins of $5 and $15, respectively. Regardless of type, each
sweatshirt must be fed through a stitching machine to affix the
appropriate university logo. The firm leases seven machines that
each provides 1,000 hours of machine time per year. Each Swoop
sweatshirt requires 6 minutes of machine time, and each Rufus
sweatshirt requires 20...

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...

etermining the Optimal Product Mix with One Constrained
Resource
Comfy Fit Company manufactures two types of university
sweatshirts, the Swoop and the Rufus, with unit contribution
margins of $11 and $15, respectively. Regardless of type, each
sweatshirt must be fed through a stitching machine to affix the
appropriate university logo. The firm leases seven machines that
each provides 1,000 hours of machine time per year. Each Swoop
sweatshirt requires 6 minutes of machine time, and each Rufus
sweatshirt requires 30...

Table Rock Tables, manufactures two popular tables, a country
style table and a contemporary style table. The manufacturing
process for both tables requires the use of three types of
machines. The time to produce the tables on each machine given in
the following table: Machine Country Table Contemporary Table Total
Time Available Router 1.5 2.0 1,000 Sander 3.0 4.5 2,000 Polisher
2.5 1.5 1,500 The earns a profit of $350 on the Country table, and
$450 on the Contemporary table....

ABC Company produces Product X, Product Y, and Product Z. All
three products require processing on specialized finishing
machines. The capacity of these machines is 2,250 hours per month.
ABC Company wants to determine the product mix that should be
achieved to meet the high demand for each product and provide the
maximum profit. Following is information about each product:
Product X
Product Y
Product Z
Selling price
$
150
$
118
$
39
Variable costs
105
58
28
Machine...

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