Reply with quote<br> {(-1,3),(0,5),(1,7),(2,9)} , identify the domain and range

Select the correct location on the coordinate plane. Ruhana owns a workshop where her team of technicians refurbishes TV sets an

yarga [219]

Answer:

Ruhana and her team should refurbish 15 tv sets and 20 dvd players each week to minimize the cost.

Step-by-step explanation:

For the given situation let the number of tv sets be x and number of dvd players be y.

Now we have to minimize the cost as it costs $75 to refurbish a tv set and $40 to refurbish a dvd player.

i.e. Minimize z=75x+40y

it gives subject to the constraints

4x+2y≥100......(1)(100 hours each week. It takes 4 hours to refurbish a tv set and 2 hours to refurbish a dvd player.)

x+y≥35.......(2)(weekly sales target is to refurbish at least 35 tv sets or dvd players.)

To plot equation (1) we need to find coordinates of points lying on line (1)

put x=0 gives 2y=100⇒y=50

put y=0 gives 4x=100⇒x=25

So we got points (0,50) and(25,0) for (1)..............(3)

Similarly for equation (2)

put x=0 gives y=35

put y=0 gives x=35

so we got points (0,35) and(35,0) for (2).................(4)

with the help of (3) and (4) we plot the following graph (assume x≥0 and y≥0)

The unbounded feasible region determined by constraints gives the corner points as A(0,50),B(15,20)and C(35,0).

from we get the value of z is minimum at point B (15,20) .

hence we got our optimal solution at B (15,20), where x is the number of tv sets and y is the number of dvd players .therefore Ruhana and her team should refurbish 15 tv sets and 20 dvd players each week to minimize the cost.

7 0

3 years ago

What is the soluition

Juli2301 [7.4K]

Answer:

b > 3 2/15.

Step-by-step explanation:

2 3/5 < b - 8/15

b > 2 3/5 + 8/15

b > 13/5 + 8 / 15

b > 39/15 + 8/15

b > 47/15

b > 3 2/15.

5 0

3 years ago

How do you find the area of a polygon in a coordinate plane

inna [77]

Step-by-step explanation:

The way that I would do it, would be to use the point distance formula to find the length of each side.

Distance formula: $\sqrt{(x2-x1)^{2} (y2-y1) ^{2} }$

After you use this formula to find the length of all sides of the polygon, you would need to use the appropriate area formula to find the area of the polygon.

Area of Triangle: A= 1/2 base times height

Area of Rectangle: A= length times width

Area of Square: A= s^2 where s is the length of the side

Area of Parallelogram: A= base times height

Area of Trapezoid: A= 1/2 times height (base 1 + base 2) where base 1 and base 2 are the parallel sides

Area of Kite or Rhombus: A= 1/2 (diagonal 1 times diagonal 2)

Area of Regular Polygons: A= 1/2 (apothem times perimeter)

6 0

2 years ago

Suppose that a person's peak blood alcohol level is 0.07 (grams per 100 mL) and that this level decreases by 40% each hour.

Natalija [7]

Answer: