Operations research/engineering science urgent help appreciated!
Ronald has just discovered four new ingredients for making a very potent
potion that will raise his IQ by 15 points. We can only identify the
ingredients as A, B, C and D, which combines several traditional
ingredients. The decision variables are therefore xA; xB; xC and xD, which
represents the amounts of each ingredient we use. To protect his secrets,
Ronald has chosen to keep one of his constraints secret.
I'm very stuck on the following questions. Any help is appreciated.
(a) What is the current cost of using these ingredients?
(b) The supplier of xA has reduced its price to 1 dollar. How would this
affect the quantities of the ingredients used and what is the new optimal
cost of the potion?/p p(c) Suppose that Ronald has found a way to reduce
the minimum amount of Mandrake required in the recipe to 10 units. How
would this affect the quantities of the ingredients used and the optimal
cost of the potion?/p p(d) How would the optimal prot change if the price
of xC increased to 7 dollars and the price of xD decreased to 5 dollars?/p
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