OPTIMIZATION METHODS

来源：百度知道 编辑：UC知道 时间：2024/05/30 13:19:56
Poh Kong uses diamonds and rubies to produce two types of wedding rings, Aspire and Desire. A Aspire ring requires 2 diamonds, 3 rubies and 1 hour of jeweler’s labor. A Desire ring requires 3 diamonds, 2 rubies and 2 hours of jeweler’s labor. Each Aspire ring sells for RM750, and each Desire ring sells for RM900. All rings produced by Poh Kong can be sold. At present, Poh Kong has 100 diamonds, 120 rubies and 70 hours of jeweler’s labor. Extra diamonds can be purchased at a cost of RM450 per diamond. Market demand requires that the company produce at least 20 Aspire rings and at least 25 Desire rings. Formulate a mathematical model to maximize Poh Kong profit.
Find:
1.Decision Variable
2.Objective Function
3.Constraints

设生产Aspire X个，Desire Y个，另需购买diamonds Z个，满足关系式：
2X+3Y<=100+Z
3X+2Y<=120
X+2Y<=70
X>=20
Y>=25
目标函数（Constraints）：750X+900Y-450Z 求出最大值