Solve the following problem with matrix techniques.

The Scrumptious Yogurt Company makes three brands of yogurt for distributors:

Diet, using five gallons of yogurt, one gallon of cream and two gallons of

fruit puree per 8-gallon tub,

Creamy, using three gallons of yogurt, three gallons of cream and two gallons

of fruit puree per 8-gallon tub and

Luxury, using one gallon of yogurt, six gallons of cream and one gallon of

fruit puree per 8-gallon tub.

Today, the company has 600 gallons of yogurt, 650 gallons of cream and 350 of

fruit puree available. How many tubs of each brand should it make in order to use up all of the supplies?