Alaundry owner's estimate of her weekly profits, is given by the equation p=-4w2+160w, where w represent the number of workers she hires. what is the number of workers she should hire in order to earn the greatest profit?

Number of workers = 20.

Step-by-step explanation:

p = - 4w^2 + 160 w

We need to find the value of w when p is a maximum.

We need to convert the equation to vertex form:

p = -4w^2 + 160w

p = -4(x^2 - 40w)

p = -4 [ (x - 20)^2 - 400]

p =  -4(x - 20)^2 + 1600.

So the vertex is at  (20 , 1600)

The maximum profit is 1600 and the number of workers = 20.

45

step-by-step explanation:

an

y = 6x -3y -12

y +3y +12 = 6x

=> . x = { 2y / 3 +2 } this is equation of line in terms of x

=> . if line meets the x-axis the co-ordinates of meeting point would be ( x , 0 )

=> . x = 2 ( 0 ) / 3 + 2

=> . x = 2

so, the point is ( 2 , 0 )