A certain diet consists of milk, beans and oranges. In order for the diet to wor

Question

A certain diet consists of milk, beans and oranges. In order for the diet to work, there must be minimum levels of niacin, thiamin, and vitamin C that the individual receives every day. The table below shows how much of each vitamin/mineral is in milk, beans and oranges and it shows the minimum daily amounts needed. The goal is to minimize the cost and the cost for milk is $0.75, the cost for beans is $0.20, and the cost for oranges is $2.10. To two decimal places, find the amount of beans for this diet.

Explanation / Answer

let x amount of milk , y amount of beans and Z amount of Oranges required

hence 3.2X+4.9Y+0.8Z>=13

1.12X+1.3Y+0.19Z>=1.5

32X+0Y+93Z >=45

minimize 0.75X+0.2Y+2.10Z

from above after running linear programming

amount of milk X=2

amount of beans Y=2

and oranges =0

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