One-time investment includes single equipment cost, equipment installation cost, equipment transportation cost, old equipment disposal cost and factory building renovation cost. The total * * * one-time investment assumption needs T0 yuan.
Subsequent costs include equipment maintenance costs (assuming M yuan/year) and personnel training costs (which can be included in labor costs, assuming C yuan/year), that is to say, investment is actually related to time.
Then the total investment T = T0+(M+C)*Y, and to discuss the relationship between the sales volume x and the total investment, we can set the function X(T).
Then you need to consider the benefits of the new equipment. The benefits are mainly reflected in two aspects. First, after the new equipment is put into production, the product capacity will increase (assuming that the annual output will increase by P%). Considering the market share of products, the increase of output will bring price fluctuations; The second is the improvement of product quality, which is often accompanied by changes in production costs and product reputation. Production costs lead to changes in ex-factory prices, and product word-of-mouth will also affect sales. Two mathematical models need to be established here. The first is the mathematical model of the relationship among output, market share, product price and sales volume. The second is the mathematical model among production cost, product reputation, ex-factory price and sales volume. Combining these two mathematical models, we can make a rough estimate. Of course, specific problems need specific analysis. Different products and different fields will have different mathematical models.