Answer:
The maximum value of z is 244 at x= 8 and y=49.
Step-by-step explanation:
We are given the system of equations as,
Maximize : 
Subject to : 



After plotting the inequalities to which the maximized function is subjected to, we get the following graph.
So, we will find the value of 'z' at the enclosing the solution region.

(2,4) z= 6×2+4×4= 12+16 = 28
(2.273,3.182) z= 6×2.273+4×3.182 = 13.64+12.73= 26.37
(8,49) z= 6×8+4×49 = 48+196= 244
Thus, we get that the maximum value of z is 244 at x= 8 and y=49.
ANSWER:
Sum of the given two numbers,
57 + 34 = 91
Now, the one's digit is less than 5.
So, Estimated number is 90.
It would be 3.5 hope this helps
The inequality model that can be used to solve the number of hours it would take Nada to drive is 2.5 ≤ x ≤3.
<h3>What is the number of hours it would take Nada to drive?</h3>
Average speed is the total distance travelled per time.
Average speed = total distance / total time
Time = total distance / average speed.
Time if she drives 150 miles = 150 / 60 = 2.5 hours
Time if she drives 180 miles = 180 / 60 = hours
2.5 ≤ x ≤3.
To learn more about average speed, please check: brainly.com/question/21734785