2(3+y)+y=3
6+3y=3
Y=-1
Substitute to solve for x
X=3-1
X=2
Answer:
z (min ) = 0.4167 $
x = 8,33 oz
y = 0
Step-by-step explanation:
Table:
Vitamin A Vitamin B Cost $/oz
Wheat (x) 10.5 2.4 0.05
Oats (y) 6 1.8 0.10
Requirements 48 (mg) 20 (mg)
Requirements 1,693 (oz) 0,7054 (oz)
The problem is minimized z subject to two constraint
z = 0.05*x + 0.1*y to minimize
Subject to:
Requirement of Vitamin A
10.5*x + 6 * y ≥ 48
Requirement of Vitamin B
2.4*x + 1.8*y ≥ 20
x≥0 y≥0
Using the on-line solver AtomZmaths and after 3 iterations the solution is:
z (min ) = 0.4167 $
x = 8,33 oz
y = 0
First you need to substitute the xs and ys into point slope ( y1 - y2 = m(x1 - x2). in this example it would be 3-6= m(0 - (-1)). then you just simplify, so -3 = m(1) -3=m. the slop is -3. because you already know the y-intercept is 3 (0,3), you can substitute everything into slope intercept (y=mx+b). so the answer is y=-3x+3.
I hope this helped, let me know if you are still confused and i can help :)
