To break even in a manufacturing business, income or revenue r must equal the cost of production c. the revenue r from selling x number of computer boards is given by upper r equals 90 x, and the cost c of producing them is given by upper c equals 80 x plus 1 comma 000. find how many boards must be sold to break even. find how much money is needed to produce the break-even number of boards.

100

Step-by-step explanation:

Given:

income or revenue = R

Cost of production = C

Income or revenue R = 90x

x number of computer boards

C = 80x + 1,000

Also,

For break-even number of boards

C = R

80x + 1,000  = 90x

or

10x  = 1,000

or

x = 100

Hence,

For break-even the number of boards that must be produced are 100

for finding the midpoint of any given 2 pair of points simply add the respective x coordinates with other x coordinate and the y coordinate with other y coordinate and divide them by 2

in your question it will be :

(3+1)/2 for the x coordinate of mid point i.e 2

[8+(-4)]/2 for the y coordinate of midpoint i.e 2

so coordinates of mid point of points (3,8) and (1,-4) will be (2,2)

30

step-by-step explanation:

times by times