Question

Use the objective function P = 50x + 80y to calculate the profit at each point. (0, 5) P = (1, 12) P = (4, 10) P =

Answer 1

(x,y)

P = 50x + 80y

P=(0,5)
=50(0) + 80(5)
= 0 + 400
= 400

P=(1,12)
= 50(1) + 80(12)
= 50 + 960
= 1010

P=(4,10)
= 50(4) + 80(10)
= 2000 + 800
= 2800

Answer 2

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:

`P=50x+80y`

where,

P = profit

x and y are the coordinates.

(1) Now we have to calculate the profit at point (0,5).

`P=50x+80y`

x = 0 and y = 5

`P=50* 0+80* 5`

`P=0+400`

`P=400`

The profit at point (0,5) is, 400

(2) Now we have to calculate the profit at point (1,12).

`P=50x+80y`

x = 1 and y = 12

`P=50* 1+80* 12`

`P=50+960`

`P=1010`

The profit at point (1,12) is, 1010

(3) Now we have to calculate the profit at point (4,10).

`P=50x+80y`

x = 4 and y = 10

`P=50* 4+80* 10`

`P=200+800`

`P=1000`

The profit at point (4,10) is, 1000