Question

You are the distributor for a certain brand of wine. The manager of a local liquor store has just called, wanting to know why this week's order had not come in. You try to explain that your route driver called in sick this morning, but the manager demands the usual order and wants its delivered within the hour. Unfortunately, you do not know what the usual order is and you cannot reach the driver. A quick check of the account shows that during the months of April, May, and June, this customer was billed for $456, $474, and $499, respectively. The following matrix gives the price per case of each of your three kinds of wine during those months. Using Cramer's rule find how many cases of each kind of wine constitute this store's usual order. 18 Rose Burgundy Rhine April ( 20 24 May | 20 24 June | 25 24

Answer 1

of rose, Burgun het x, y, z be the usual order thine respectively them : For month of April 200 + २५५ + 162 = 46 -0 for month of may: २७ __R० + २१५ + २१ - 474 - for month of June: २४ + २१५ + 21 2 - ५११ -3) writing 0,0 % in matha form 1145 ___ २१ २। । ५74 5 २५ । 2 77. using Cramer's rule ५। २१ ॥ 411 २५ । (using properties ५११ २५ ॥ doing Ratzaile २० २१ ।। ___20 2५ । 25 २१ 2।

-- १८ (३५ (२।। - २५४1) - 2५(५१५६7 - ५११ (२३)) + (-११ १२) 4 14124) ० ( १५(२) - 2420) ~ 2५ (२०८17 - २ ।- २५२0) ~२५ (२०८17 - २(1)(10(24)-2017) ___ = 6 + २५ (21) (25) + || (२५) (-25) . २४)(२) ० २५(२) (5) + (२५) (-5) | - F] similarly y; । १ - २० | । 474 ११ M ० ०८ ५ २० २५० 20 21 । २४ २५ । - २० (474 (५17 - १११ (1)) - 1st ( २० (३१) - २()) + । ( २० । ५११) - 27 ( ५ ५) 3(247 (5)

२० | २० २५ ५९८ २७ २१५१५ २ २१ ५११ २० २१ । ॥ २० २५ 21 21 २॥ = २० ( २५ १११) - 24 (4747)-२५ (२० (५१) - 25 ( 47१7) +91-11) dot 3 (247 (5) JALALA-l- A- 2 - 6

wine Cases of Rose wine Cases of Burgundy Cosa of Rhine = x=8 = y = =z= oute 1 6"