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

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:

$P=50x+80y$

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

$P=50\times 0+80\times 5$

$P=0+400$

$P=400$

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

$P=50\times 1+80\times 12$

$P=50+960$

$P=1010$

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

$P=50\times 4+80\times 10$

$P=200+800$

$P=1000$

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

Answer 2

(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