Answer:
Step-by-step explanation:
The revenue r(x) from the sale of x coffee mugs is given by
r(x) = 6.5x
the function for the cost of manufacturing x coffee mugs is c(x)= 0.75x + 1850.
Profit = Revenue - cost
P(x) = r(x) - c(x)
P(x) = 6.5x - (0.75x + 1850)
P(x) = 6.5x - 0.75x - 1850
P(x) = 5.75x - 1850
A) profit when x = 500 is
P = 5.75 × 500 - 1850
P = 2875 - 1850
P = 1025
profit when x = 1000 is
P = 5.75 × 1000 - 1850
P = 5750 - 1850
P = 3900
profit when x = 5000 is
P = 5.75 × 5000 - 1850
P = 28750 - 1850
P = 26900
B) The profit function would be
P(x) = r(x) - c(x)
P(x) = 5.75x - 1850
I think elimination but your question is messed up.
You well have to subtract both of them and add by the total
I’m not sure but this is what I would do
Runner A (unit rate / constant of proportionality):
54 feet divided by 4.5 seconds = 12 feet per second
Runner B (unit rate / constant of proportionality): 300 feet divided by 20 seconds (It looks like the end point of the line lands between 300 feet and 20 seconds) = 15 feet per second
Unit Rate:
Runner A = 12 feet per second
Runner B = 15 feet per second
Faster Runner:
Runner B is the faster runner as he can run a further distance than Runner A in one second.
