Question 1186249: The Intellectual Company produces a chemical solution used for cleaning carpets. This chemical is made from a mixture of two other chemicals which contain cleaning agent X and cleaning agent Y. Their product must contain 175 units of agent X and 150 units of agent Y and weigh at least 100 pounds. Chemical A costs ₱ 8 per pound, while chemical B costs ₱ 6 per pound. Chemical A contains one unit of agent X and three units of agent Y. Chemical B contains seven units of agent X and one unit of agent Y.
a. Set up the following:
I. Variables
ii. Constraints
iii. Objective Function
b. Find the minimum cost
c. Determine the best combination of the ingredients to minimize the cost.
Answer by Theo(13342)   (Show Source):
You can put this solution on YOUR website! in this statement:
"Their product must contain 175 units of agent X and 150 units of agent Y and weigh at least 100 pounds.", i do not see how the weight can be calculated, since there is no information that tells what the weight of each unit will be.
the cost is per pound, but there is no way to calculate the number of pounds because that information does not appear to be included.
it talks of units of agent x and y, but does not talk about the weight of agents x and y.
please check to see that if the weight information has been included somewhere in the problem statement.
i don't see how this problem can be solved without that information.
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