Answer:
1) 

2) 

3) 

And for the new yield we need to take in count the increase of 15% for the area and we got this:


4)
=0.0426 defects/cm^2
=0.0260defects/cm^2
Step-by-step explanation:
Part 1
For this part first we need to find the die areas with the following formula:



Now we can use the yield equation given by:

And replacing we got:


Part 2
For this part we can use the formula for cost per die like this:

And replacing we got:


Part 3
For this case we just need to calculate the new area and the new yield with the same formulas for part a, adn we got:


And for the new yield we need to take in count the increase of 15% for the area and we got this:


Part 4
First we can convert the area to cm^2 and we got 2 cm^2 the yield would be on this case given by:

And if we solve for the Defect rate we got:

Now we can find the previous and new defect rate like this:
=0.0426 defects/cm^2
And for the new defect rate we got:
=0.0260defects/cm^2
Answer: 3.41x10^3
Step-by-step explanation:
At the beginning of the year, we have:
R = 6.2x10 rats.
And we know that, in one year, each rat produces:
O = 5.5x10 offsprins.
Then each one of the 6.2x10 initial rats will produce 5.5x10 offsprings in one year, then after one year we have a total of:
(6.2x10)*(5.5x10) = (6.2*5.5)x(10*10) = 34.1x10^2
and we can write:
34.1 = 3.41x10
then: 34.1x10^2 = 3.41x10^3
So after one year, the average number of rats is: 3.41x10^3
I think the system of inequalities could be the following, but I'm not positive:
l=Length, w=Width
l < 12
w x l < 30
Gross pay = $2,759.00
Total deductions = 7.65%+12%+7% = 26.65% = 0.2665
By thumb rule, rent and other fixed expenses ≤ 28% of Monthly gross salary
Therefore,
Allowed housing and fixed expenses = 0.28*2,759 = $772.52
Then, a. is the correct answer.