ype the correct answer in each box. Use numerals instead of words. If necessary, use / for the fraction bar(s). A pharmaceutical 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 $ .
Answers
Answer:
250-mg price=$10.5
500-mg price=$9.5
Step-by-step explanation:
Consider 250-mg price=a
500-mg price=b
2200a+1800b=39200 ->I equation
2200a+2200b=44000-> II equation
Solve I& II equation
We get a=10.5 b=9.5
Given :
A pharmaceutical company sells bottles of 500 calcium tablets. Last month's sale was $39,200 and this month's target sales is $44,000.
To Find :
Price of 250-mg and 500-mg bottle of calcium tablets.
Solution :
The company sold last month 250 mg tablets = 2,200 bottles
Bottle of 500 mg tablets = 1,800 bottles
Total sales revenue = $39,200
This month sales team has targeted sales of $44,000 for this month.
They have target of 2,200 bottles of 250 mg tablets that is same as last month.
and 2,200 bottles of 500 mg tablets = 2,200 - 1,800 = 400 more bottles
Now we calculate the price of 500mg tablets by subtracting last month's revenue from this month's target.
price of 400 bottles of 500mg tablets = 44,000 - 39,200 = $4,800
Therefore, the price of one bottle of 500 mg tablet is = = $12 (one bottle of 500mg)
Last month they sold 1,800 bottles, so the revenue generated by 500mg bottles = 1,800 × 12 = $21,600
and revenue generated by 2200 bottles of 250mg tablets = 39,200 - 21,600 = $17,600
Therefore, the price of one bottle of 250mg tablets = 17,600 ÷ 2,200 = $8
The price of a 250mg bottle is $8 and the price of a 500mg bottle is $12.