a new drug being developed by a company is said to be 70% effective at wiping out bacteria. after using the drug, if there are over 100,000 bacteria left the patient is said to still be infected. the new drug will be 40% more expensive to produce than what is currently available.
a. a new patient has 421,000 bacteria in their blood and starts the new drug. how many will be left after taking the new drug?
b. the original drug costs $31.50. how much will the new cost?
c. if the company produces them with a $11 profit, how much does the drug cost to make? how many drugs does the company need to produce to make a $2 million profit?

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.

Step-by-step 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

=

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

=

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

=

The drug cannot be in decimal form.

So, the company has to produce 181,819 drug to make $2 million profit.