Question

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 I and 180 minutes of machine time available on machine II in a work shift. How many units of each product should be produced in each shift to maximize the company’s profit?

- Solve each inequality for y and state whether to shade above or below for each inequality.

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 $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...

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 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...

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...

A company produces two models of products, SUPER
and ULTRA. Each SUPER model generates a profit of $8, and each
ULTRA model generates a profit of $5. The table below shows how
many minutes are required to produce each model on two different
machines with maximum available time. How many products of each
model must be produced to maximize profit? How much is the maximum
profit?
SUPER
ULTRA
Time Available
Machine 1
3 minutes
2 minutes
360 minutes
Machine 2...

pring, Inc. manufactures two products. It currently has 1,300
hours of direct labor and 3,250 hours of machine time available per
month. The table below lists the contribution margin, labor and
machine time requirements, and demand for each product.
Product A
Product B
Unit contribution margin
$
34.00
$
30.00
Demand
2,600
units
1,300
units
Labor time
1/4
hour
1/2
hour
Machine time
1
hour
1/2
hour
How much of each product should Spring manufacture per month?

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...

Ahmadi, Inc. manufactures laptop and desktop computers. In the
upcoming production period, Ahmadi needs to decide how many of each
type of computers should be produced to maximize profit. Each
computer goes through two production processes. Process
I, involves assembling the circuit boards and
process II is the installation of the
circuit boards into the casing. Each laptop requires 24 minutes of
process I time and 16 minutes of process II time. Each desktop
requires 8 minutes of process I...

A company is trying to maximize its profit on the sale of items
A, B, and C. They make a profit of 60 dollars on each item of type
A, 25 dollars on each item of type B, and $50 on each item of type
C. Each product requires polishing and assembling time. Type A
items requre 4 minutes of polishing, type B items require 3 minutes
of polishing, and type C items require 5 minutes of polishing. Type
A...

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....

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