Question

The nutritional content per ounce Protein Vitamin C of three foods is presented in the Calories (in grams) (in milligrams) table on the right. If a meal Food A 100 11 150 consisting of the three foods allows Food B 200 11 350 exactly 2500 calories, 110 grams Food C 400 11 150 of protein, and 2100 milligrams of vitamin C, how many ounces of each kind of food should be used? Food A: oz Food : OZ Food Coz

Answer 1

Solroy Let assume that and ounces food is used from Food A, Food B. and Food C respectively, equations will be as! - O. 100 x + 2ooy & Yoo Z = 2500 Ho 11a + lly + llz 150x + 350 y + 150 z = 2100 by modifing these equation, we get tyt + Z = 10 at 2y + 4z = 256 UT 3x +75 + 32 = 42 these equations and find the value solve value of x'Y and

Augmented matrix - 10 2 4 25 3 42 It 3 R2 RI R2 R3-3R, R3- 1 1 1 1 كما lo 15 ) 2 4 R – R – R2 R3 R3- YR2 1 - 2 3 - -5 15 -48 O R3 1 / 2 R3

o 1 3 -5 15 y - 20 R, R, +2 R3 R2 R₂ - 3R3 a 3 go 3 o 4 x = 3 y = 3 Z = 4 Se, OZ -- Food A = Food B Food C 3 3 Ч Ozo 0Z