nts 3. In a very small country they produce two products, Product M and Product N. The consumption (input-output) matrix which describes the amount of each product consumed is given by == A-13:3 13 How much of Product M is used if we produce 1 unit of Product N (and none of Product M)? 14 If we produced 10 units of Product M and 5 units of Product N, how much from each industry would we have remaining? 3 Give an example of amounts of the two products that would not be possible, that is, an example in which we would use up more than we produce of one or both products. (Convince me that your example would result in this impossible situation. Don't give an example with negative or zero amounts produced. Use the same matrix A as given above.) How many units should be produced of each product in order to meet a demand for 12 units for Product M and 6 units for Product N? Do two things to answer this question: (1) Starting from the fact that we want the amount produced minus the amount use to equal the amount demanded (that is, X-AX = D), derive (show where it comes from) the formula X = (1-A)-D, and 2) Use that formula to find the amount X of each product to produce. Be sure to show your work in finding the inverse.