Question

A building developer has accepted orders for five ranch-style houses, seven Cape Cod-style houses, and twelve colonial-style houses. The raw materials that go into each type of house are steel, wood, glass, paint, and labor. The matrix below displays the number of units of each raw material that goes into each type of house. Each row indicates the amount of each raw material needed for a given type of house; each column indicates the amount of a given raw material needed for each type of house. The unit costs for these raw materials is $2500 per unit of steel, $1200 per unit of wood, $800 per unit of glass, $150 per unit of paint, and $1500 per unit of labor.

Steel Wood Glass Paint Labor Ranch520 16 7 17 CapeCod7 18 12 921 Colonial62585 13

f) Using matrix multiplication, display the total costs of the building project to the developer. You will be using the answers from parts a) and e) above. Display screen captures and detailed explanations of the matrices used

Answer 1

3x3 3 x I cotumn, Yows colums ナ a bc Jn the jrven bilder oydeu Cape 12 Colonial -shye houses (od-s houses L000

lasPainl Labo t자 Ranth apt lod Colonial 2 D 孓 12 2 5 5 13 he tosb beae hustrl calumn in maliw 2S0o goo el 2 SD o 子181292) .20 ods shold be, s-oO よ、JD) +( 3414でヅ D5 ee e Hheir house equird ne slak n siplhng on mali

RaM4 | 12,500 t 24,000 t 12,800 +1,050ナ25,50 pe to ,Soo 21, boo S00 750 t 19,50。 s,000 t 30, 000 t 6,400 t he ttul tost build loa 1,650 12- Colonial) - 12 * 71,6559 Koo 4,809, 900