Answer: See below
Explanation:
Solve this system of equation using elimination method:
3x - y = 0
2x - y = 1
________
3x - y = 0
-1(2x - y = 1)
_________
3x - y = 0
-2x + y = -1
_________
X = -1
We know that x = -1 now let’s plug it in the one of the equation to find y:
2x - y = 1
2(-1) - y = 1
-2 - y = 1
-y = 3
y = -3
In order to find the slope of line that passes through 2 points, use the equation slope=rise/run
rise = 5-(-4) =9
run = 2- 0 =2
slope = rise/run = 9/2
The answer to your question is 114
Answer:
a) Objective function (minimize cost):

Restrictions
Proteins per pound: 
Vitamins per pound: 
Non-negative values: 
b) Attached
c) The optimum solution (minimum cost) is 0 pounds of ingredient A and 0.75 pounds of ingredient B. The cost is $0.15 per ration.
d) The optimum solution changes. The cost is now 0 pounds of ingredient A and 0.625 pounds of ingredient B. The cost is $0.125 per ration.
Step-by-step explanation:
a) The LP formulation for this problem is:
Objective function (minimize cost):

Restrictions
Proteins per pound: 
Vitamins per pound: 
Non-negative values: 
b) The feasible region is attached.
c) We have 3 corner points. In one of them lies the optimal solution.
Corner A=0 B=0.75

Corner A=0.5 B=0.5

Corner A=0.75 B=0

The optimum solution (minimum cost) is 0 pounds of ingredient A and 0.75 pounds of ingredient B. The cost is $0.15 per ration.
d) If the company requires only 5 units of vitamins per pound rather than 6, one of the restrictions change.
The feasible region changes two of its three corners:
Corner A=0 B=0.625

Corner A=0.583 B=0.333

Corner A=0.75 B=0

The optimum solution changes. The cost is now 0 pounds of ingredient A and 0.625 pounds of ingredient B. The cost is $0.125 per ration.
Answer:
Step-by-step explanation:
r-13,725 <_ 1650
r-<_ 15,375
r-13725>_-1650
r >_12,125
Tuition could be between $12,125 and $15,375
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