Answer:
A) Bacteria left after taking the new drug = 126,300 bacteria
B) The new cost is $44.10
C) the has to produce 181,819 drug to make $2 million profit.
Explanation:
Given:
New drug eliminate 70% of bacteria. If there are over 100,000 bacteria after the new drug the patient has to take another drug which cost 40% more expense.
Part A
A new patient has 421,000 bacteria.
The new drug eliminate 70% of the bacteria.
Eliminated bacteria = 70% of 421,000
=
![(70)/(100) *421,000\\=0.7*421,000\\= 294,700](https://img.qammunity.org/2020/formulas/mathematics/middle-school/el56cwoqv6lxafaw4q4e3go315c8ytvlzc.png)
Bacteria left after taking the new drug = 421,000 - 294,700
Bacteria left after taking the new drug = 126,300 bacteria
Part B
The new cost 40% more than $31.50
New cost = $31.50 + 40% of 31.50
=
![= 31.50 + 0.4*31.50\\= 31.50 + 21.60\\= $44.10](https://img.qammunity.org/2020/formulas/mathematics/middle-school/1dtlkwytv0r4ih2rtyznpr9msczob7pkdf.png)
The new cost is $44.10
Part C
The company produces them with $11 profit.
The company has to make $2,000,000 profit.
The number of drug produce = $2,000,000 divided by $11
=
![(2000000)/(11) = 181,818.18](https://img.qammunity.org/2020/formulas/mathematics/middle-school/bina5wdv9onwjxx9wve0ecrk3beex73ylt.png)
The drug cannot be in decimal form.
So, the company has to produce 181,819 drug to make $2 million profit.