Mathematics, 07.07.2019 04:30 arturocarmena10

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

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(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 from: havennn

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 from: Quest

the system of inequity is

$y\leq -x+4$

$3y> x$

step-by-step explanation:

from the given graph it is noticed that we have two related lines. one is solid and another is dashed.

if a line passing through two points, then the equation of line is

$y-y_1=\frac{y_2-y_1}{x_2-x_1}(x-x_1)$

the solid line passing through the points (0,4) and (4,0).

$y-4=\frac{0-4}{4-0}(x-0)$

$y=-x+4$

the related equation of solid line is $y=-x+4$ .

similarly, find the related equation of dashed line. the dashed liune passing through the points (0,0) and (3,1).

$y-0=\frac{0-1}{3-0}(x-0)$

$3y=x$

the related equation of dashed line is $3y=x$

from the given graph it is noticed that the point (0,1) lies on the shaded region, therefore the point (0,1) must be satisfied by the related equations.

check the related equations by the point (0,1).

$1=-0+4$

$1=4$

this statement is true if the sign of inequality is < instead of equality. since it is an solid line therefore the sign of inequality will be $\leq$ . the required inequality is