Question: A soap manufacturer makes several different detergents using same equipment for all of them. It costs $ 1 0 0 0 to clean the equipment

A soap manufacturer makes several different detergents using same equipment for all of them. It costs $1000 to clean the equipment and to prepare it for a run of a given detergent. A particular detergent has a demand rate of 100 tons per month. This can be considered to be deterministic. The variable production cost of one
ton is $200. The firm uses an inventory carrying charge of I =0.17.
What is the optimal quantity to produce per run if no stockouts are to be allowed? What is the time between runs?

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