Answer:
The total profit when 240 members are enrolled is:
3,587,212.8 cents
Step-by-step explanation:
First of all, the total profit function is gotten by integrating the marginal profit function.
Integrate thus:
Total Profit = P(x) = [-0.0008x^4 ÷ 4] + [0.35x^3 ÷ 3] + [45.5x^2 ÷ 2]
P(x) = 0.0002x^4 + 0.1167x^3 + 22.75x^2
Next, substitute 240 for x, in the total profit function.
P(x) = 0.0002[240]^4 + 0.1167[240]^3 + 22.75[240]^2
P(x) = 663552 + 1613260.8 + 1310400
P(x) = 3,587,212.8 cents
Equivalent to $35,872.128
2.8 miles.
My Work/Reasoning:
First we find the rate. 7/60 mpm (miles per minutes)
Then we multiply that by 24. 7/60 * 24
Finally, we solve the equation and learn that Chang would run 2.8 miles in 24 minutes.
The expression that are a factor are A E and G
