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:
h= -7
hope this helps!!:)
Step-by-step explanation:
Answer:
x = 7
Step-by-step explanation:
See the attached figure.
As shown: A C D F is a trapezoid and BE is a mid-segment.
The mid-segment of the trapezoid is the average of its bases.
BE = 0.5 ( A F + C D)
Given: CD = 18 , BE = 2x + 10 and A F = 6x - 12
So,
2x + 10 = 0.5 ( 18 + 6x - 12)
Solve for x
2x + 10 = 0.5 (6 + 6x)
2x + 10 = 3 + 3x
10 - 3 = 3x - 2x
∴ x = 7
<u>So, the value of x is 7</u>
I think its C because you just have to follow the expressions pattern i hope this helps good luck!!
Answer:
43
Step-by-step explanation:
g(x)=4x+3
plug in 10
g(10)= 4(10)+3
= 40+3
= 43