Kendra F. answered • 08/28/17

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So, there are a few ways to look at this problem. Let's start by defining the unknowns:

Number of Physicals, P (≤ 10)

Number of Office Visits, V

two variables require two equations to solve.

Let's start by writing an equation for money $$$ made per day:

M = 60V + 100P

Now an equation for time. (in hours)

9 = 0.25V + 0.75P

This second equation should be re-written for substitution.

0.25V = 9 - 0.75P

V = 36 - 3P

Substitute (36 - 3P) in for V in the second equation.

M = 60(36 - 3P) + 100P

M = 2160 - 180P + 100P

M = 2160 - 80P

From here you can probably see that the fewer Physicals the more money because there's that -80P . In fact, the best scenario would be zero physicals. 9hrs/0.25hrs = 36 office visits would bring in the most money.

You could also compare the rate for each;

Physicals 100$/0.75hr = 133.33 dollars per hour

Office Visits 60$/0.25hr = 240 dollars per hour

you can see that the hourly rate for physical is almost half that of the office visits.

Best scenario ; 0 physicals, 36 office visits