利润优化的单纯形法实现系统

Imam Purwanto, Makmun
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引用次数: 0

摘要

进行生产活动的公司必然希望实现公司的目标,其中之一就是最优利润。通过对最优产量的规划,实现生产利润最大化。本研究的目的包括四个,即制定利润公式以使产量最大化,确定Win Bakery将生产的黑面包品种的最优数量,确定Win Bakery生产面包的最大利润,预测投资回报的利润。本研究采用线性规划模型进行。决策变量决定了为实现最优解决方案而做出的决策。目标函数是描述线性规划问题中的目标或目标的函数。与资源的最佳利用有关,以获得最大的利润或使用最小的成本。约束函数是实现目标所面临的障碍的一种形式。研究结果为决策变量,X1为方形巧克力面包的生产数量,X2为圆形巧克力面包的生产数量。单位利润的目标函数是最大化Z = 1000X1 + 800X2。约束函数是制作巧克力面包所用的原料。此外,采用POM-QM对生产进行优化,方形巧克力面包的产量达到13块,圆形巧克力面包的产量达到25块,一天的利润为3.25万卢比。接下来的计算,通过输入固定成本,可变成本和利润来计算盈亏平衡点,以55个单位为单位,获得的总利润为1,777万卢比。
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IMPLEMENTATION SYSTEM OF SIMPLEX METHOD FOR OPTIMIZATION PROFIT
Companies that carry out production activities necessarily want the company's goals to be achieved, one of which is optimal profit. Maximum profit in production can be realized by planning the optimal amount of production. The purpose of this study consists of four, namely making a profit formulation to maximize the amount of production, determining the optimal number of brown bread variants that will be produced at Win Bakery, determining the maximum profit in producing bread at Win Bakery, and predicting profits for return on investment. This research was conducted using a linear programming model. Decision variables determine the decisions that will make to achieve the optimal solution. The objective function is a function that describes the goals or objectives in linear programming problems. Relating to the optimal use of resources to obtain maximum profit or to use minimum costs. A constraint function is a form of formulation of the obstacles faced in achieving the goal. The results obtained from the research are the decision variables, with X1 being the number of square chocolate bread productions and X2 is the number of round chocolate bread productions. The objective function of the profit per unit is to maximize Z = 1000X1 + 800X2. The constraint function is the raw material used in making chocolate bread. Furthermore, the optimization of production with POM-QM resulted in the number of square chocolate bread production of as many as 13 pieces and round chocolate bread as many as 25 pieces so that the profit gained in one day was Rp. 32,500. The next calculation, the break-even point by entering fixed costs, variable costs, and profits obtained results in units of 55 units and the total profit earned is Rp. 1,777,00.
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