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.

rose burgundy rhine

April 20 24 18

may 20 24 21

june 25 24 21

Answer 1

| Page No. | Date: An d et, Rose is denoted by (x) Burgundy by (y) ton. We (E) Rhine by one २०.x + २५y + २०. x + २५y + २७.x + २१.५ + 18.2 = 456 1.2: ५५ रा.? ५११ solving Grumen's I for (x), (y), and (2) by using rule _ Jetp: २० २० ७ २५ २१ २१ । २) - The determinant of (o) is ||10- २० । २५ २१ ।। - २५ | २० २। +18 | २०२५ । ७ ।। २९५ || : २० (७०५-501) - २५ (५२० - 505) ) (480 - 600) - 25२०-२160E A T . Now - २५ 471 २५ ५१५५ । । ) | 1Dx) : ५56 | २५ २ २१ ।। - २५५१५ २) | १११ २) ११५ २५ ५११२५/-

(Page No. Date - २५ (११51 - 10 171) + 18 (10376 - 11976) 1660 - 0800 1800 Dy: २०५७ । २०५५ । २६ ५११ । 110) = २०५१५ २।। - ५ । ५११ ।। 56 | २० २। +1 )२ (25। । २० ११५ | २७ ५११ २० (११७१ - 10 17१) - 156 (५२० - 525) + 18 (११४० - ।।850) - -10So०) + 17880-33660 - 37२० । । IND2 - २० २५ ५७ / २०१० ५१५ - 15 ५५११Jo । || Dr.J: २०) २५ ११५ १२५ १११ - २५/२० ५१५ / + 956 | २० २५ । 15 111 125 १५ - २० (11476 - 11 376 ) - २५ (११४0 - 11850) + ५७४ (५४0 - 6००) २००० + ५५880 - 51720 160 y : 3720 - 10- 3_3__ 260 Sex : 1800 = S 60 . ___? - २।60 = 760 6 . Rose = 5, Burgundy: 10.33; Rhine = 6.