Two different chemotherapy regimens can be used to treat breast cancer. treatment with doxorubicin is known to show a remission rate 40% of the time. this treatment costs $1,000. the other treatment, docetaxel, shows a remission rate 25% of the time and costs $850.
the two treatment plans are:
plan a: treat with doxorubicin. if not effective, treat with docetaxel.
plan b: treat with docetaxel. if not effective, treat with doxorubicin.
based on the data provided, what is the expected cost per patient under plan b?
the answer choices are: $850, $1000, $1,510, or $1,600

Expected Cost under PLAN B = $1600

So, Option D. $1600 is correct

Step-by-step explanation:

Cost of first treatment (docetaxel) whether it is effective or not = $850

Cost of second treatment (doxorubicin) whether it is effective or not = $1000

But The Plan B says, if the first treatment is effective then second treatment is not needed

Now, chance that the first treatment is effective = 25%

So, chance that the first treatment is not effective and you need the second treatment = 75%  

P(first treatment is effective) = 0.25  

Cost(if first treatment is effective) = $850  

P(first treatment is not effective) = 0.75  

Cost(if first treatment is not effective) = 850 + 1,000 = $1850  

Expected cost = P(first treatment is effective) × Cost(if first treatment is effective) + P(first treatment is not effective) × Cost(if first treatment is not effective)  

Expected cost = (0.25 × 850) + (0.75 × 1,850)  

Expected cost = 212.50 + 1387.50  

Expected cost = $1,600

Hence, Expected Cost under PLAN B = $1600

So, Option D. $1600 is correct

logv3(x+2)=1

rewrite in exponential form:

logb(x) = y is equal to b^y =x

b = 3, y = 1

now solve for x:

3^1 = x+2)

x = 3-2

x = 1

see the picture for the graph.