Answer:

Step-by-step explanation:
Given


Required
Determine the profit function.
Profit function is calculated as thus:

So, we have:



Expanded form is like this 300 plus 20 plus 7 plus .40 plus .6
To find the number of miles Erma can drive, you will write and equation and solve it to find the amount of miles that can be driven on $600 over the 1600 miles that are allowed.
Daily rate + cost per mile over 1600 = total cost
(65 x 8) + 0.24m = 600
520 + 0.24m = 600
-520 -520
<u>0.24m </u>= <u>80</u>
0.24 0.24
m = 333.33... miles
The maximum number of whole miles she can drive would be 1933 miles (1600 + 333).
Answer:
The Answer is 76.
Step-by-step explanation:
Given the normal distribution " 10% of employees (rated) exemplary, 20% distinguished, 40% competent, 20% marginal, and 10% unacceptable'', we can see that exemplary employees are top 10% rated employees.
We have the formula for normal distribution:
z=(X-M)÷σ
where z is the <em>minimum z-score </em>for top 10% employee, X is the <em>minimum </em>score for top 10% employee, M is the <em>mean</em> of the score distribution, σ is the <em>standard deviation</em> of the score distribution.
The z-score we are looking for is the value "a" that separates the highest 10% from the lowest 90% i.e. P(z≤a)=0.90
If we look at z-table, corresponding value for a is 1.28155
We can now put the values in the formula:
1.28155=
So X=(1.28155×20)+50=75.631
Therefore minimum score for exemplary employee is 76.