The point at which a company's profits equal zero is called the company's break-even point. let r represent a company's revenue, let c represent the company's costs, and let x represent the number of units produced and sold each day.
r(x)=12x
c(x)=6.5x+22000
a) find the firm's break-even point; that is, find x so that r=c
b) find the values of x such that r(x)> c(x). this represents the number of units that the company must sell to earn a profit.

R ( x ) = 12 x ( revenue )
C ( x ) = 6.5 x + 22,000 ( cost )
a ) Break-even point : R ( x ) = C ( x )
12 x = 6.5 x + 22,000
12 x - 6.5 x = 22,000
5.5 x = 22,000
x = 22,000 : 5.5
x = 4,000
b ) R ( x ) > C ( x ) 
x > 4,000
The number of units that the company must sell to earn a profit is 4,001 or more.

a)     R=C implies 12x=6.5x + 22000, and then 12x - 6.5x= 22000, 5.5x= 22000, from where we find x = 22000 : 5.5,     x=4000.

b)     For R(x)>C(x), we get 12x>6.5x + 22000, which implies after the same calculation,  x>4000

Economists study the way society uses its resources. One important resource studied is agriculture. The recent increase in demand for organic produce has created some interesting economic scenarios for both farmers and consumers. Click the article to learn key facts about the economics of organic produce and answer a few questions.

Which is a reason that organic farming is more expensive than conventional farming?

✔ Organic farmers must pay for a costly certification process.

How many years must a farm be run organically before its produce can be labeled as “organic”?

✔ 3

What is a benefit of crop rotation?

✔ Rotating crops can help build healthy soil.

Step-by-step explanation:

just got it on edge