Question

In: Advanced Math

1. A company produces three combinations of mixed vegetables that sell in​ 1-kg packages. Italian style...

1. A company produces three combinations of mixed vegetables that sell in​ 1-kg packages. Italian style combines 0.4 kg of​ zucchini, 0.4 kg of​ broccoli, and 0.2 kg of carrots. French style combines 0.5 kg of broccoli and 0.5 kg of carrots. Oriental style combines 0.2 kg of​ zucchini, 0.3 kg of​ broccoli, and 0.5 kg of carrots. The company has a stock of 18,000 kg of​ zucchini, 30,200 kg of​ broccoli, and 36,800 kg of carrots. How many packages of each style should it prepare to use up existing​ supplies?

2. A knitting shop orders yarn from three suppliers in​ Toronto, Montreal, and Ottawa. One month the shop ordered a total of 108 units of yarn from these suppliers. The delivery costs were ​$82,​ $45​, and ​$67 per unit for the orders from​ Toronto, Montreal, and​ Ottawa, respectively, with total delivery costs of ​$6453. The shop ordered the same amount from Toronto and Ottawa. How many units were ordered from each​ supplier?

3. Use the​ Gauss-Jordan method to solve the following system of equations.

3x

+

8y

−

z

=

0

7x

−

y

+

4z

=

1

10x

+

7y

+

3z

=

1

Solutions

Expert Solution

Colby Messinger answered 5 months ago
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