Profit vector. Two factory outlets F1 and F2 in New York and Los Angeles sell sofas (S), chairs (C), and tables (T) with a profit of $35, $62, and $30, respectively. Let the sales in a certain week be given by the matrix S C T 240 F₁ 120 500 F2 Introduce a "profit vector" p such that the components of v = Ap give the total profits of F₁ and F2. A = 4 400 100 60

5 Find the vector form fer the geverat solution to the system of equotins. メ、* X,+ ZXs - Xy - Xe= -8 3x, - 3x2 + X3 -2xq - Xg = -7 X3 + 3xy-10x5 =19 %3D

Day traders typically buy and sell stocks (or other investment instruments) during the trading day and sell all investments by the end of the day. The following table shows the closing prices on September 22, 2015, of 12 stocks selected by your broker, Prudence Swift, as well as the change that day. Tech Stocks Close Change AAPL (Apple) $113.40 -1.81 ADBE (Adobe Systems) $84.66 1.34 EBAY (eBay) $25.61 -0.31 MSFT (Microsoft) $3.90 -0.21 S (Sprint) $4.40 0.02 WIFI (Boingo Wireless) $8.51 0.56 Non-Tech Stocks ANF (Abercrombie & Fitch) $21.81 -0.02 в (Воeing) $133.99 -2.03 F (Ford Motor Co.) $13.91 -0.40 GE (General Electric) $25.10 0.01 GIS (General Mills) $57.12 0.33 JNJ (Johnson & Johnson) $93.26 0.13 On the morning of September 22, 2015, Swift advised you to purchase a collection of three tech stocks and two non-tech stocks, all chosen at random from those listed in the table. You were to sell all the stocks at the end of the trading day. (a) How many possible collections are possible?…