Is it true that (x^2–3x+2)/(x –1) = x – 2, for all values of x? Justify your answer.
1 answer:
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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.
Jason earned $356.7375 for 37.75 hours in a week.
<h3>How to find the earning of jason for 37.75 hours?</h3>multiplying the weekly hours by the number of weeks in a year yields the total number of hours worked. Then subtract this amount from the annual pay.
given that
Jason works at Klein dry cleaning. he earned $9.45 per hour.
Now find if he worked 37.75 hours this week what is his pay.
so simply multiply $9.45 with 37.75 hours to obtain the Jason earning of the week.
Hence,Jason earned $356.7375 for 37.75 hours in a week.
if you can check it is correct or not. simply divide the 356.7375 with 37.75.
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