oh A dietian is designing a daily diet that is to contain at least 90 units of p

Question

oh A dietian is designing a daily diet that is to contain at least 90 units of protein, 50 units of carbohydrates, and 140 units of fat. The diet is to consist of two types of foods. One serving of food A contains 30 unts of protein, 10 units of carbohydrates, and 20 units of tat and costs $6.One serving of food B contains 10 units of protein, 10 units of carbohydrates, and 80 units of fat and costs $3. Design the diet that provices the caily requirements at the least cost The least expensive diet will contain servingls) of food A andservingis of food B Type integers or fractions )

Explanation / Answer

here let number of serving of A are x and serving for B =y

we need to minimize 6x+3y

also 30x+10y >90

10x+10y >50

20x+60y>140

solving above:

the least expensive diet will contains 2 serving of food A and 3 serving of food B

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