part 1 part2 part3 A knmng shop orders yarn from three suppi

part #1

part#2

part#3

A knmng shop orders yarn from three suppiers in Toronto, Montreal, andonawa one month me shop ordered a total 93 unns tum mese supplers. The delNery costs were ST9. $55, and SE6 per unt for the orders from Toronto, Montreal and ottawa, respectively, with local delvemcoets $5885. The shop ordered the same amount from Toronto and ottawa How many units were ordered from each suppler? There were units ordered from Toronto unts from Montreal and unis vomorawa answer reach the answer boxes

Solution

1)

Let Toronto and Ottawa equal x and let Montreal equal M
shipping cost
79x+66x+55M=5885
solve for x
145x+55M=5885
x=(5885-55M)/145

let\'s make an expression for M
if they bought 100 units then
M+x+x=93
M+2x= 93
M=93-2x
plug this into the above equation

and solve , we get

x= 22

M = 49

They bought 22 units each and 49 units from Montreal

2)

Let x be number of chairs , y be number of assembly and z be number of buffets

The system of equatons wll be

Cutting department :

0.9 x + 0.8 y + 0.6 z = 4490

Assembly :

0.6x + 0.4 y + 0.5 z = 2850

Finishing :

0.8x + 0.2 y + 0.3 z = 2270

On solving the system of equations by Inverse method of Cramers rule or Gauss Elimination , we get

x = 1500

y= 2500

z = 1900

3)

total amount of spending: 10000000
total number of vehicles: 260
number of small trucks: x
number of vans: 2x
number of large trucks: 260-x-2x

set up the equation: 50000x+25000(2x)+50000(260-x-2x)=10000000

solve for x :

x = 60

2x = 120

260-x-2x = 80

so they can buy 60 small trucks, 120 vans, and 80 large trucks