Answer:
1.925mg of levonorgestrel and 0.68mg of ethinyl estradiol are taken during the 28-day period.
Step-by-step explanation:
The total milligrams of levonorgestrel is:
![L = L_{1} + L_{2} + L_{3}](https://tex.z-dn.net/?f=L%20%3D%20L_%7B1%7D%20%2B%20L_%7B2%7D%20%2B%20L_%7B3%7D)
In which
and
are the number of miligrams of levonorgestrel taken in each phase.
The total milligrams of ethinyl estradiol is:
![E = E_{1} + E_{2} + E_{3}](https://tex.z-dn.net/?f=E%20%3D%20E_%7B1%7D%20%2B%20E_%7B2%7D%20%2B%20E_%7B3%7D)
In which
and
are the number of miligrams of ethinyl estradiol taken in each phase.
We can solve this by phase.
Phase 1: 6 tablets, each containing 0.050 mg of levonorgestrel and 0.030 mg ethinyl estradiol
In this phase,
of levonorgestrel and
of ethinyl estradiol are taken.
So
and ![E_{1} = 0.18](https://tex.z-dn.net/?f=E_%7B1%7D%20%3D%200.18)
Phase 2: 5 tablets, each containing 0.075 mg of levonorgestrel and 0.040 mg ethinyl estradiol
In this phase,
of levonorgestrel and
of ethinyl estradiol are taken.
So
and ![E_{2} = 0.20](https://tex.z-dn.net/?f=E_%7B2%7D%20%3D%200.20)
Phase 3: 10 tablets, each containing 0.125 mg of levonorgestrel and 0.030 mg ethinyl estradiol
In this phase,
of levonorgestrel and
of ethinyl estradiol are taken.
So
and ![E_{3} = 0.30](https://tex.z-dn.net/?f=E_%7B3%7D%20%3D%200.30)
The total milligrams of levonorgestrel is:
![L = L_{1} + L_{2} + L_{3} = 0.30 + 0.375 + 1.25 = 1.925](https://tex.z-dn.net/?f=L%20%3D%20L_%7B1%7D%20%2B%20L_%7B2%7D%20%2B%20L_%7B3%7D%20%3D%200.30%20%2B%200.375%20%2B%201.25%20%3D%201.925)
The total milligrams of ethinyl estradiol is:
![E = E_{1} + E_{2} + E_{3} = 0.18 + 0.20 + 0.30 = 0.68](https://tex.z-dn.net/?f=E%20%3D%20E_%7B1%7D%20%2B%20E_%7B2%7D%20%2B%20E_%7B3%7D%20%3D%200.18%20%2B%200.20%20%2B%200.30%20%3D%200.68)
1.925mg of levonorgestrel and 0.68mg of ethinyl estradiol are taken during the 28-day period.