The staff dietician at the California Institute of Trigonometry has to make up a meal with 600 calories, 20 grams of protein, and 200 milligrams of vitamin C. There are three food types to choose from: rubbery jello, dried fish sticks, and mystery meat. They have the following nutritional content per ounce. Jello Fish Sticks Mystery Meat Calories 10 50 200 Protein 1 3 .2 Vitamin C 30 10 o (a) Make a mathematical model of the dietician\'s problem with a system of three linear equations. (b) Find an approximate solution (accurate to within 10%)

The amount of rubbery jello=5.038 ounce

Dried fish stick = 4.886 ounce

Mystery meat = 1.526 ounce.

Step-by-step explanation:

Solutions/Explanation: (a) Suppose the amount of rubbery jello = ounce,  

The dried fish sticks amount to be = ounce  

The amount of mystery meat = ounce.

Specification of the ingredients

Rubbery jello has: Calories=10 Cal/ounce, Protien=1 gram/ounce, Vitamin C= 30 mg/ounce

Dried fish sticks: Calories=50 Cal/ounce, Protien=3 grams/ounce, Vitamin C=10 mg/ounce

Mystery meat: Calories=200 Cal/ounce, Protien=0.2 gram/ounce, Vitamin C=0 mg/ounce,

Now,  

Total calories = .  

Thus,

The, total Protien = .  

Thus,

also, total Vitamin C = .

Thus,

Therefore,

1, 2 and 3 are the mathematical models of the dietician's problem with a system of three linear equations.

(b) Now, we know three equations:

OR  

From eqn 2,  

From eqn 3.  

OR  

On solving the eqn 4, 5 and 6 for and

Multiplying eqn 5 by 100,

Now, subtract eqn 4 from eqn 7

Now, multiplying eqn 6 by 295. we have,

Now, subtract, eqn 8 from eqn 9, we get,

Now, substituting into eqn 6, we get

Now, substitute eqn 10 and 11 into eqn 4, we have

step-by-step explanation:

the shape,the size and the distance