3. (Use the graphical method for the following problem): A technology company manufac- tures televisions and soundbars. The following table gives the labor requirements and profits per automobile: Televisions Soundbars 10 labor-hours 8 labor-hours Assemble Load and Transport 2 labor-hours 1 labor-hours Profit $150 $100 Each day, 360 labor-hours are available to assemble these products and 60 labor-hours are avail- able to load and trasport them. The manufacturer wants to determine how many televisions and soundbars to produce of each type in order to maximize profit under these constraints. (a) Define variables for modeling this scenario, and write down the objective function. (b) Identify the constraints of the problem. (c) List the corner points of the feasible region. (d) the total profit? How many televisions and soundbars should be produced each day to maximize

Algebra for College Students
10th Edition
ISBN:9781285195780
Author:Jerome E. Kaufmann, Karen L. Schwitters
Publisher:Jerome E. Kaufmann, Karen L. Schwitters
Chapter11: Systems Of Equations
Section11.CT: Test
Problem 24CT
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Ital all U|
* Starred
3. (Use the graphical method for the following problem): A technology company manufac-
tures televisions and soundbars. The following table gives the labor requirements and profits per
Snoozed
automobile:
Sent
r 19, 2022, 6:43 PM
Chat
Televisions
Soundbars
10 labor-hours 8 labor-hours
1 labor-hours
Assemble
Load and Transport
2 labor-hours
ons!
Profit
$150
$100
No conversations
Each day, 360 labor-hours are available to assemble these products and 60 labor-hours are avail-
able to load and trasport them. The manufacturer wants to determine how many televisions and
soundbars to produce of each type in order to maximize profit under these constraints.
Start a chat
Spaces
(a)
Define variables for modeling this scenario, and write down the objective function.
(Ъ)
Identify the constraints of the problem.
(c)
List the corner points of the feasible region.
No spaces yet
Create or find a space
(d)
the total profit?
How many televisions and soundbars should be produced each day to maximize
5
80
Transcribed Image Text:Ital all U| * Starred 3. (Use the graphical method for the following problem): A technology company manufac- tures televisions and soundbars. The following table gives the labor requirements and profits per Snoozed automobile: Sent r 19, 2022, 6:43 PM Chat Televisions Soundbars 10 labor-hours 8 labor-hours 1 labor-hours Assemble Load and Transport 2 labor-hours ons! Profit $150 $100 No conversations Each day, 360 labor-hours are available to assemble these products and 60 labor-hours are avail- able to load and trasport them. The manufacturer wants to determine how many televisions and soundbars to produce of each type in order to maximize profit under these constraints. Start a chat Spaces (a) Define variables for modeling this scenario, and write down the objective function. (Ъ) Identify the constraints of the problem. (c) List the corner points of the feasible region. No spaces yet Create or find a space (d) the total profit? How many televisions and soundbars should be produced each day to maximize 5 80
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