1. Consider the following input output table for an economy involving 4 sectors in the U.S.: - -_ m- -n m [a] [5 points] Find the technology matrix A associated with this economy. Round all answers to four decimal places What is the physical meaning of entry a3]? [h] [5 points] The [I A)\" matrix for this system is given by 1.2197 0.1?23 0.0000 0.0033 0.0134 1.070 0 0.001 1 0.0835 0.01 23 1.204":Ir 0.0022 0.0050 0.0007 0.0034 1.041 3 (I .1,1 = Find the production levels needed to meet an external demand of $1,000 million in products from the Textiles sector, $1,500 million in the Apparel sector, $2,500 million in the Farms sector, and $2,000 million in the Wholesale Trade sector. Round your answers to two decimal places, and explain your result in complete sentences. [c] [5 points] Find the change in production levels needed to meet a change in demand of $2,000 million in all four sectors. Hound your answers to four decimal planes, and explain your result in complete sentences. sentences. [d] [5 points] Sensitivity Analysis: In order to see how sensitive this economy is to changes in demand in the textiles sector, we will look at the production levels needed to meet various changes in external demand for textiles assuming all other sectors remain at the same demand levels. Open the Excel spreadsheet titled Pmblem I on Moodle. Inside, you will nd the results of a rudimentary sensitivity analysis where the change in demand for textiles is varied in incre~ ments of $1000, while the change in demand in all other sectors remains xed. in each case, the change in production levels for each sector are calculated and plotted against the change in demand in the Textiles sector. Use the results provided to explain the e'ects of the change in demand for textiles on each sector of the economy. Which sectors are mostfleast affected