Posted by **Tracy** on Saturday, February 26, 2011 at 10:43pm.

A diet management system produces two types of foods A and B. Food A contains (5,15,1,2) mg. per ounce of cholesterol, calcium, iron and vitamin C respectively and Food B contains (5,15,1,2) mg. per ounce of the same nutrients in order respectively

A nutritionist wishes to minimize the cholesterol content while satisfying the minimum daily requirements (300,13,40) for calcium, iron and vitamin C respectively.

Assume that the number of ounces of the foods used is given by x,y respectively and construct the following:

The function to be minimized is:?

The restriction imposed by vitamin C need is: ? >= ?.

The restriction imposed by calcium need is: ? >= ?.

The restriction imposed by iron need is: ? >= ?.

- Math -
**MathMate**, Saturday, February 26, 2011 at 10:59pm
Is there a typo, both foods have the same nutrition content, so there is no minimization to be done.

Ch(x,y)=5x+5y

C(x,y)=15x+15y≥300

Ca(x,y)=x+y≥13

Fe(x,y)=2x+2y≥40

## Answer This Question

## Related Questions

- Math - A diet is to include at least 140 mg of vitamin A and at least 145 mg of ...
- Finite Math - A dietitian wishes to plan a meal around three foods. The meal is ...
- math - A researcher performs an experiment to test a hypothesis that involves ...
- Pre-calculus - A researcher performs an experiment to test a hypothesis that ...
- math - dr.chen told miranda that her new puppy needs a diet that includes at ...
- Math - A dietitian is designing a daily diet that is to contain at least 60 ...
- PLEEEEEEASE HELP, EMERGENCY!!!!! - Here is a word problem dealing with The ...
- Math - Lisa’s pet shop has 2 fish tanks. Tank A contains smaller fish who are ...
- Math - A 7 4/5 ounce can of cat food costs 38 cents. What is the unit rate (...
- Nutrition - Cholesterol: a) can be converted to vitamin D. b) can be found in ...

More Related Questions