Point U on a graph is located at (4,8), Point V on the same graph is located at (12, 14).
2 answers:
Answer:
D
Step-by-step explanation:
gradient is change in y/change in x
gradient of UV = 14-8/12+4=3/4
use equation y=mx+c where y is the y coordinate, m is the gradient, x is the x coordinate and c is the y intercept
use one of the coordinates of U or V, I'll use (4,8)
c is 5
the equation for UV is
insert each X coordinate given in the question to see if it gives the same y coordinate
when x is 20, y is also 20 so the answer is D
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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>