Assume that each gallon of Deluxe Vanilla uses 2 quarts of milk, 2 quarts of cream, and 4 ounces of vanilla; each gallon of Regular Vanilla uses 3 quarts of milk, 1 quart(s) of cream, and 2 ounces of vanilla; and each gallon of Deluxe Chocolate uses 3.5 quarts of milk, 0.5 quarts of cream, and 4 ounces of cacao. Assume also that the shop has on hand 198 gallons of milk, 90 gallons of cream, 38 pounds of vanilla, and 28 pounds of cacao. How many gallons of each type of ice cream should the shop make to use up all of these ingredients?
When you setup a system of linear equations to solve this problem, how many variables and how many equations should you have.?
Number of variables:
3
Number of equations:
4
Let
x be the amount of Deluxe Vanilla to be produced measured in gallons,
y be the amount of Regular Vanilla to be produced measured in gallons, and
z be the amount of Deluxe Chocolate to be produced measured in gallons.
Formulate the system of linear equations that you must solve:

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