Answer:
Objective Function: P = 2x + 3y + z
Subject to Constraints:
3x + 2y ≤ 5
2x + y – z ≤ 13
z ≤ 4
x,y,z≥0
Step-by-step explanation:
Sry that I can’t answer but I hope u have a great day
Everything is divisible by five, so pull out five
5(-k^2+4k-6)
F(x)=-4(-1)-5
f(x)=4-5
f(x)= -1
-1 is your answer
Represent the data in table form.
x y
--- -----
-2 10
1 -5
3 -15
6 -30
Let y = k*x where k = constant.
Test x = -2:
k*(-2) = 10
k = -5
Test x = 1:
k*x = -5*1 = -5 Correct
Test x = 3:
k*x = -5*3 = -15 Correct
Test x = 6:
k*x = -5*6 = -30 Correct
Therefore the relation is
y = -5x, which is a direct variation.
Answer: direct variation.
Because the volume, V varies inversely as pressure, P, let
V = c/P where c = constant
Set V = 320 cm³, P = 40 kg/cm².
320 = c/40
c = 320*40 = 12800
Therefore
V = 12800/P
When V = 200 cm³, obtain
200 = 12800/P
200P = 12800
P = 12800/200 = 64 kg/cm²
Answer: P = 64 kg/cm²
