Answer:
Step-by-step explanation:
First we need to find area of the triangle with a base of 4 cm and a height of 5cm, and then multiply that by the length of the prism of 15cm.
The area of the triangle is given by the formula:
where b is the base: and h is the height:
thus, in this case we have:
And now, the volume will be the area of the triangle multiplied by the length of the prism:
Substituting the known values:
The volume in cubic centimeters is 150.
Answer: The minimum value of C is 46.
Step-by-step explanation:
Since, Here, We have to find out Min C = 7x+8y
Given the constraints are -------(1)
------------- (2)
,
-------- (3)
Since, For equation 1) x-intercept, (4, 0) and y-intercept (0,8)
And, ⇒
( false)
Therefore the area of line 1) does not contain the origin.
For equation 2) x-intercept, (6, 0) and y-intercept (0,6)
And, ⇒
( false)
Therefore the area of line 2) does not contain the origin.
Thus after plotting the constraints 1) 2) and 3) we get Open Shaded feasible region AEB ( Shown in below graph)
At A≡(0,8) , C= 64
At E≡(2,4), C= 46
At B≡(6,0), C= 42
Thus at B, C is minimum, And its minimum value = 42
