Let C represent the cost in dollars and R represent the revenue in dollars. What is the break-even point? Use a table to help if necessary. C=36x+200 R=76x

Help? Plz!?

Respuesta :

the break even point is when C and R are equal....so set them equal

36x + 200 = 76x
200 = 76x - 36x
200 = 40x
200/40 = x
5 = x 

C = 36(5) + 200            R = 76(5)
C = 180 + 200              R = 380
C = 380

so the break even point is 380


fichoh

The breakeven point simply means the point where the amount of profit made is equal to 0. Hence, the breakeven point is 380

Profit = Revenue - Cost

P(X) = 76x - [36x - 200]

P(X) = 40x - 200

At P(X) = 0

The equation becomes ;

40x - 200 = 0

40x = 200

Divide both sides by 4

x = 200/40

x = 5

R(x) = 76x

R(5) = 76(5)

R(5) = 380

Hence, the breakeven point is 380

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