2 A company produces x units of a product per month, where Clx) represents the total cost and Rix) represents the total revenue for the month. The functions are modeled by Cx) = 300x + 100 and R(x) = -0.8x? + 600x -100. The profit is the
difference between revenue and cost where PX) = RX) - C(X). What is the total profit, Px), for the month?
PX) = -0.82-300x - 200
PX) = -0.82 +400x - 450
PO)-082400X
PDC) -0.82? + 3002 - 200

Buisness is Boomin

Step-by-step explanation: A.B 84

i assume that by 5 you mean 5 gallons.

(20)(0.25) = 15

removing 15 gallons reduces the tank from 20 to 5.

the value of v.w= -12.

step-by-step explanation:

we are given three vector r,v and w as:

r = < 5, -5, -2> ; v = < 2, -8, -8> ; w = < -2, 6, -5>

we know that r,v and w could also be represented as:

r=5i-5j-2k

v=2i-8j-8k

and w= -2i+6j-5k

where i,j and k are the unit vectors of x,y and z-axis respectively.

also we know that it has the following property:

i.i=1 ; j.j=1; k.k=1

and i.=j.i=i.k=k.i=j.k=k.j=0

i.e. when we multiply two vectors or we find it's dot product we need to only multiply the components of x coordinates with each other; y with each other and z with each other.

hence, v.w= (2i-8j- -2i+6j-5k)

                  = 2×(-2)+(-8)×(6)+(-8)×(-5)

                  = -4-48+40

                  = -12

hence, v.w= -12