The first mathematical modeling: the problem of producing mathematical machine tools;

You use three kinds of machine tools to produce C 1 C2 C3. According to the table you provided, the parts you need 1 and parts 2 have the following equations within one month:

Let the price of part 1 be a and the price of part 2 be b:

4 * c 1+6 * C2+2 * C3 = 22a； Equation 1

4 * c 1+3 * C2+5 * C3 = 25b； Equation 2

At the same time, your monthly profit is: 5*C 1+6*C2+4*C3 (ten thousand yuan).

So add equation 1 to equation 2 and get the following conclusion:

22a+25b =(4 * c 1+6 * C2+2 * C3)+(4 * c 1+3 * C2+5 * C3)

=8*C 1+9*C2+7*C3

=5*C 1+6*C2+4*C3 (ten thousand yuan) +3*(C 1+C2+C3)

So your profit is 5*C 1+6*C2+4*C3 (ten thousand yuan).

=22a+25b-3*(C 1+C2+C3)

Because you are a fixed investment of C 1 C2 C3, that is to say, C 1+C2+C3 is a fixed value, and because the prices of your component 1 and component 2 A and B may be fixed or may change with the market.

So:

(1) When the prices of 1 component and 2/component remain the same, the profit obtained by your investment method of C 1 C2 C3 is the same;

② When the price of component 1 and component 2 changes, you only need to buy different components according to the different prices of A and B, which will not affect your profit;

To sum up, no matter how you invest in your three machine tools, you will get the same profit. If there is any impact, it is only the impact of parts on profits, and it has nothing to do with your separate investment.

The above is according to your topic requirements. Take a closer look. If there is no problem with the topic, there is definitely no problem with the answer. As for your next two topics, I am thinking about it and will give you a reply in time, hoping to help you.