Answer: a) c(x) = 0.124x + 1.1, b) 13 units
Step-by-step explanation: Revenue function = R(x) = 0.21x
Profit function = p(x) = 0.086 - 1.1
Cost function = c(x) =?
A)
Recall that profit = total revenue - total cost
Hence, total cost = total revenue - profit
c(x) = 0.21x - (0.086x - 1.1)
c(x) = 0.21x - 0.086x + 1.1
c(x) = 0.124x + 1.1
B)
Break even point is the point where total revenue equals total cost
R(x) = c(x)
0.21x = 0.124x + 1.1
0.21x - 0.124x = 1.1
0.086x = 1.1
x = 1.1/0.086
x = 12.79 which is approximately 13 units
Hello there! If you know basic division, then you know that 8/2 is 4. With 75 calories being in 2 ounces of yogurt, all we have to do is multiply by 4 to get the amount of calories in 8 ounces of yogurt, because 2 * 4 is 8. Plus for this scenario, whatever we do to one part, we must do to the other. Let's solve. 75 * 4 is 300. There. There are 300 calories in 8 ounces of yogurt.
Distributive property, since 3(2x) you distribute and get 6x
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