You have a part time-job at a company that makes and sells markers. As part of your job, you are studying the company's production costs. The markers are made one color at a time. It costs $2 to make each marker and there is a $100 set-up cost for each color. You are also studying the income, or the amount of money the company earns from the sales of the markers. The company sells the markers to office and art supply stores for $3 per marker.
How many markers will the company need to make and sell in order for the production costs and income to be the same?
How much money will the company have spent/earned for this number of markers?

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

2160ft3

step-by-step explanation:

step-by-step explanation:

answer: 486in^2

step-by-step explanation: