Asked by Nichole Stone on Jun 20, 2024

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You have read that in JIT and lean production the optimum lot size is one, with some exceptions for packaging and physical limitations. If a product currently has a lot size of 25, what must happen to setup time for the lot size to truly fall to one? Data for this problem are D= 100 units, S = $75 based on setup time of 50 minutes at $1.50 per minute, and H = $40 per unit per year.

Setup Time

The duration required to prepare equipment or a process for production, affecting the efficiency of manufacturing operations and job scheduling.

Lot Size

The number of units of a product bought or sold in a single transaction.

Setup Cost

The expenses incurred when preparing equipment, machinery, or systems for a new production run or switching from producing one item to another.

  • Comprehend the consequences of minimizing lot size to one in the context of JIT and lean production methodologies.
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Hailey MagalhaesJun 25, 2024
Final Answer :
Students may try ever smaller values for S, and find S = $0.12 by trial and error. Or they may solve the economic production quantity model for S, which also yields $0.12. Or they may recognize that the reduction in Q by a factor of 25 requires a reduction in S by that factor squared; in this case $75 / (25x25) = 0.12.