Answer :
The profit at point (0,5) is, 400
The profit at point (1,12) is, 1010
The profit at point (4,10) is, 1000
Step-by-step explanation :
Coordinates : It is a set of values which show an exact position on a graph.
There are two variables or coordinates that are x-coordinate and y-coordinate.
As we are given that function:
[tex]P=50x+80y[/tex]
where,
P = profit
x and y are the coordinates.
(1) Now we have to calculate the profit at point (0,5).
[tex]P=50x+80y[/tex]
x = 0 and y = 5
[tex]P=50\times 0+80\times 5[/tex]
[tex]P=0+400[/tex]
[tex]P=400[/tex]
The profit at point (0,5) is, 400
(2) Now we have to calculate the profit at point (1,12).
[tex]P=50x+80y[/tex]
x = 1 and y = 12
[tex]P=50\times 1+80\times 12[/tex]
[tex]P=50+960[/tex]
[tex]P=1010[/tex]
The profit at point (1,12) is, 1010
(3) Now we have to calculate the profit at point (4,10).
[tex]P=50x+80y[/tex]
x = 4 and y = 10
[tex]P=50\times 4+80\times 10[/tex]
[tex]P=200+800[/tex]
[tex]P=1000[/tex]
The profit at point (4,10) is, 1000
