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So if we increase it by 1 million, it still doesn't affect the optimal solution? That wouldn't make sense.
Since the coefficient is -5 (MINUS), you have to look at the Allowable DECREASE of the coefficient. Since this is 1.167, the optimal solution is indeed not affected.
As we all know now we don’t have meetings anymore because of Covid-19. This situation is not beneficial for us since we won’t be prepare enough for the final exam.
My friends and I were thinking about a fair solution. We come up with an idea; to cancel the 2 final weeks that we won’t have (week 6&7) in the exam. We are many people that agreed with this solution, but I need more people to convince them to accept this solution. Indeed, how do you want us to pass an exam on something that we’re not able to do? What about our meetings? Quizzes? Lectures? (Even if they want to upload lectures of last year, it’s not enough)
If you agree with this solution or have another alternative, please feel free to comment on this post.
Together, we will go through this annoying situation!
Can you explain the variables please? C1 and C2 are the types of crude oils right? The first constraint means that what is produced of type A oil is at least 120000 but don't we get 0.6 from c1 and 0.4 from c2 which would imply 0.6c1 +0.4c2>= 120000 ?(same logic for the second constraint)
The whole exercise is messed up I would say: the first shaded region for the feasible area without the additional 4 constraint is wrong in the first place, from there the optimal solution is also wrong. One thing to take into account is that this time the function we are dealing with should be minimized in contrast with all the examples in the book, which have to be maximized. Therefore, graphically we are aiming to find the lowest possible level curve and not the highest as the person does.
Because the above mistakes are made adding the additional constraint also messes things further, meaning that instead of changing the solution, adding the 4th constraint does not affect it in any way:
Constraint 2: 2x1+4x2>=40 or simplified: x1+2x2>=20
Constraint 4: x1+2x2=>12
8 must be 1.75. Use the formula for an infinite series with the growth factor 1/3 and 1/2 for the "first term", which results in 0.75. Adding the 1 from the beginning results in 1.75. Apart from that good job! :)
Apologies to say this, but that is not how maths work. The right expression would be that the term (1+r)^t with a limit for t approaching infinity, gives a value of infinity. Therefore the denominator becomes infinitely big (verify this with an r of 0,00001 (very small thus) and use a larger number for t (i'd recommend 10000 otherwise it will be a math error due to a lacking shitty calculator). This value is getting bigger and bigger, thus the denominator gets bigger and as the denominator approaches infinity, the whole fraction approaches 0. That would be the better answer than 'cancels out'. Never seen some math equation randomly disappear before.
Shouldn't quarterly mean that you do 1/4? In which case it would be 0.0553 which still means option 2 is correct, but your calculations are incorrect.
I think that if it was 4 years it would have said 4 times a year like in Question 9