HW Score: 30%, 6 of 20 pts core: 0 of 4 pts Bus Econ 2.2.46 A knitting shop orde

Question

HW Score: 30%, 6 of 20 pts core: 0 of 4 pts Bus Econ 2.2.46 A knitting shop orders yarn from three suppliers in Toronto, Montreal, and Ottawa. One month the shop ordered a total of 105 units of yam from these suppliers. The delivery costs were $75, 50, and S59 per unit for the orders from 6 of 12 (6 complete) Question Help Toronto, Montreal, and Ottawa, respectively, with total delivery costs of $6100. The shop ordered the same amount from Toronto and Ottawa. How many units were ordered from each supplier? There wereunits ordered from Toronto.units from Montreal, and units from Ottawa

Explanation / Answer

Solution:

Let x be the amount ordered from toronto and ottawa, and y be the amount ordered from Montreal.

So, 75 x + 50 y + 59 x = 6100................(i)

=> and , x + x + y = 105

=> 2 x + y = 105

=> y = 105 - 2x ......................(ii)

=> 75 x + 50(105 - 2x) + 59 x = 6100

=> 134 x + 50 x 105 - 100 x = 6100

=> 34x + 5250 = 6100

=> 34 x = 850

=> x = 25

and using equation (ii)

=> y = 55

So , There were 25 units ordered from Toronto , 55 units from Montreal , and 25 units from ottawa

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