Apharmaceutical company sells bottles of 500 calcium tablets in two dosages: 250 milligram and 500 milligram. last month, the company sold 2,200 bottles of 250-milligram tablets and 1,800 bottles of 500-milligram tablets. the total sales revenue was $39,200. the sales team has targeted sales of $44,000 for this month, to be achieved by selling of 2,200 bottles of each dosage.
assuming that the prices of the 250-milligram and 500-milligram bottles remain the same, the price of a 250-milligram bottle is $
and the price of a 500-milligram bottle is $
.

 x = 8  y = 12

Step-by-step explanation:

Let x and y be the prices of the 250 milligram and 500 milligram dosage, respectively. The equations that may be derived from the given conditions above are,

                                  2200x + 1800y = 39200

                                  2200x + 2200y = 44000

Solving the system by subtracting the second equation from the first gives,

                                        -400y = -4800  

Substitute the obtained value for y in either of the equations. I choose the first equation,

                                 2200x + (1800)(12) = 39200

                                          2200x = 17600  

Thus, the 250-mg bottle costs $8 and each 500-mg bottle costs $12.

2nd one in the first row is correct

step-by-step explanation:

we are given a graph for system of inequalities.

in order to write the system of inequalities for the given graph, we need to find the inequality for each of the line separately.

let us find the slope of dotted line first.

taking two coordinates on the graph.

let us say (0,0) and (3,1).

let us find the slope of the line now.

slope of the dotted line would be =.

y-intercept of dotted line is y=0 only.

plugging slope m= and b=0 in slope-intercept form y=mx+b, we get

.

the line is shaded up of that dotted line.

therefore, for shading up we would take greater than inequality symbol > .

and because it's a dotted line we would take only > symbol in place of = sign in above equation of line.

therefore, inequality for dotted line would be

let us take two points (3,1) and (0,4) on the solid line.

slope of the solid line would be =.

for the solid line we have y-intercept b= 4.

plugging slope m= -1 and b=4 in slope-intercept form y=mx+b, we get

y = -1x + 4.

the line is shaded down of that solid line.

therefore, for shading down we would take less than inequality symbol < .

and because it's a solid line we would take ≤ symbol in place of = sign in above equation of line.

therefore, inequality for solid line would be