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The company's production arrangement and minimum cost composition calculation table for the contracted tasks and cost composition according to the production capacity.
Month|Number of Contracts|Production capacity|Production by arrangement||The production cost is 1000 yuan piecesStorage costs|Storage||The lowest cost (1000 yuan)—|
(pcs)|(pcs)|rt (pieces)||rt—|—ot —|1000 yuan piece|Amount a||Production—Production—|Storage||—Total|
Serving|a|b|— Count|—rt|ot|a|b|— Count|—a|—b—|—a|—b||—a|—b—|(pcs)|a|—b|—a|—b|——
— Count|12|12|24|—28|—8|12|12|—24||—190|191|—2|—|383|
The Lowest Cost Composition Calculation Table is a mathematical model, which is analyzed and illustrated as follows:
1) This mathematical model reflects the view that the output is determined by the total amount of the contract, so the total amount of production arrangements = the total amount of the contract = 24 pieces, of which 12 pieces of product A and 12 pieces of B, so there is no storage at the end of the period;
2) The total production capacity of 28 pieces within the statutory time is greater than the total number of contracts 24 pieces, which not only ensures the smooth implementation of the contract task, but also provides activity space for reducing production costs;
3) under the premise of ensuring the completion of the contract task, according to the principle of cost minimization for production according to the arrangement, the total production capacity within the statutory time in January 10, and the number of contracts is 8, because the production cost of each piece a is lower than that in March (19 15) 1000 yuan = 4000 yuan, so arrange full production in January, resulting in the storage of 2 pieces, each storage fee of 1000 yuan; Correspondingly, the output of product A in March was reduced by 2, and the number of contracts for product A in March was 4, and only 2 pieces were arranged, so that the cost reduction was 2 (4 1) 1000 yuan = 6000 yuan.
The minimum cost of completing the contract task is 383,1000 yuan = 383,000 yuan (10,000 yuan). Copied from, hope.
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