Optimization/operations research urgent help appreciated!

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lauraanderson

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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.

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I'm very stuck on the following questions.

(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?

(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?

(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?
 
lauraanderson said:
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.

View attachment 3092

I'm very stuck on the following questions.

(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?

(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?

(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?
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Please share your work with us .

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http://www.freemathhelp.com/forum/th...217#post322217
 
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