A dietitian is planning a meal that supplies certain quantities of vitamin C, calcium, and magnesium. Three foods will be used, their quantities measured in milligrams. The nutrients supplied by one unit of each food and the dietary requirements are given in the table below.

Nutrient	Food 1	Food 2	Food 3	Total Required (mg)
Vitamin C	$40$	$20$	$60$	$330$
Calcium	$50$	$45$	$85$	$517.5$
Magnesium	$30$	$30$	$65$	$357.5$

Write the augmented matrix for this problem.
$\left[\Rule{0pt}{3.6em}{0pt}\right.$$\left]\Rule{0pt}{3.6em}{0pt}\right.$
What quantity (in units) of Food 1 is necesary to meet the dietary requirements?

What quantity (in units) of Food 2 is necesary to meet the dietary requirements?

What quantity (in units) of Food 3 is necesary to meet the dietary requirements?