Question

http://prntscr.com/9c16n5

Answer 1

can someone do part b and ill solve the rest?

this is an example of what we could write for part b. http://prntscr.com/9c16yn

Answer 2

we have

y > -2x + 20

if we add 2x to both sides, we get

2x + y > 20

Answer 3

now let's say we are selling two products, say tables and chairs

let
x = number of chairs sold
y = number of tables sold

if we set these prices
1 chair = $2
1 table = $1

then we'll have this total profit
P = 2x+y
after selling x chairs (at $2 a piece) and y tables (at $1 a piece)


with me so far?

Answer 4

yup

Answer 5

so if you say to yourself "I want a profit more than $20"

then you'd basically want P > 20

replace P with 2x+y and you end up with 2x+y > 20

Answer 6

then you can turn 2x+y > 20 back into y > -2x + 20

Answer 7

so the shaded region of y > -2x + 20 represents the set of points (x,y) that make the profit larger than $20

Answer 8

pick any point in the shaded region and you'll get a profit larger than $20

you cannot pick any point along the line (or under the line)