the table shows the linear relationship between the percentage of construction job remaining and the number of days that have pa
ssed
1 answer:
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Answer:
y = x +
Step-by-step explanation:
the equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y-intercept )
To calculate the slope use the gradient formula
m = ( y₂ - y₁ ) / ( x₂ - x₁ )
with (x₁, y₁ ) = (- 3, 4) and (x₂, y₂ ) = (5, 7)
m = =
, hence
y = x + c ← is the partial equation
To find c substitute either of the 2 points into the partial equation
using (5, 7 ), then
7 = + c ⇒ c = 7 -
=
y = x +
← equation in slope-intercept form
Answer:
First we need to put all the given information in a table, that way we'll express it better into inequalities.
Cost Production Max.
Console screen (x) $600 450
Wide-screen (y) $900 200
$360,000
We have:
Because they can't spend more than $360,000 in production.
Because the number of television is restricted.
The profit function is
(this is the function we need to maximize).
First, we need to draw each inequality. The image attached shows the region of solution, which has vertices (0,200), (300,200), (450, 100) and (450,0).
Now, we test each point in the profit function to see which one gives the highest profit.
For (300,200):
300 console screen and 200 wide screen give a profit of $77,500.
For (450,100):
450 console screen and 100 wide screen give a profit of $76,250.
<h3>Therefore, to reach the maximum profits, TeeVee Electronic, Inc., must produce 300 console screen televisions and 200 wide-screen televisions to profit $77,500,</h3>