A pharmaceutical company sells bottles of \(500\) calcium tablets in two dosages: \(250\) milligram and \(500\) milligram. Last month, the company sold \(2200\) bottles of \(250\)-milligram tablets and \(1800\) bottles of \(500\)-milligram tablets. The total sales revenue was \($39200\). The sales team has targeted sales of \($44000\) for this month, to be achieved by selling of \(2200\) bottles of each dosage.
Assuming that the prices of the -milligram and -milligram bottles remain the same, the price of a \(250\)-milligram bottle is \($\boxed{\color{white}\text{Ans}}\) and a \(500\)-milligram bottle is \($\boxed{\color{white}\text{Ans}}\).
x = 500mg price
y= 250 mg price
1800x + 2200y =39200
and
2200x + 2200y =44000
Subtract second from first equation
-400x = -4800 x = 12
So 12 bucks for 500 mg bottle
1800(12) + 2200y = 39200 y= 8 $ 8 for 250 mg tab bottle