1- please build algbraic model ( mathematical model )

Continuing Problem 6, suppose the company is selling in the United States, the United Kingdom, and Japan. Assume the unit production cost is $50, and the exchange rates are 1.22 ($/) and 0.00965 ($/). Each country has its own constant elasticity demand function. The parameters for the United States are 19,200,000 and 2; the parameters for the United Kingdom are 10,933,620 and 2.2; and the parameters for Japan are 15,003,380,400 and 1.9. The company has a production capacity of 3000. Therefore, the company can sell only as many units, in total, to all three countries as it can produce.

2-please build algbraic model ( mathematical model )

In Example 7.5, we implied that each of the five observations was from one period of time, such as a particular week. Suppose instead that each is an average over several weeks. For example, the 4.7 million exposures corresponding to one ad might really be an average over 15 different weeks where one ad was shown in each of these weeks. Similarly, the 90.3 million exposures corresponding to 50 ads might really be an average over only three different weeks where 50 ads were shown in each of these weeks. If the observations are really averages over different numbers of weeks, then simply summing the squared prediction errors doesnt seem appropriate. For example, it seems more appropriate that an average over 15 weeks should get five times as much weight as an average over only three weeks. Assume the five observations in the example are really averages over 15 weeks, 10 weeks, 4 weeks, 3 weeks, and 1 week, respectively. Devise an appropriate fitting function, to replace sum of squared errors or RMSE, and use it to find the best fit.