Directions (1 - 4): A health-drink company's in R & D department is trying to make various diet formulation, which can be used for certain specific purpose. It is considering a choice of 5 alternative ingredients (O, P, Q, R and S), which can be used in different proportions in the formulations. The table below gives the composition of these ingredients. the cost per unit of each of these ingredients is as O: 150, P: 50, Q: 200, R: 500, S: 100.
1.
Which among the following is the formulation having the lower cost per unit for a diet having 10% fat and at least 30% protein? The diet has to be formed by mixing two ingredients
To make diet with at lest 60% carbohydrate we can use option (B) and (E) only, but the lowest cost per unit can be given by when P, Q and S are mixed in the ratio 4 : 1 : 1
3.
The company is planning to launch a balanced diet required for growth needs of adolescent children. This diet must contain at least 30% each of carbohydrate and protein, no more than 25% fat and at least 5% minerals. Which one of the following combinations of equality mixed ingredients is feasible?
As the ingredients are mixed in equal amounts, so we can take the average of the constituent % of the element used. Only O and S satisfies all the conditions.
4.
For a recuperating patient, the doctor recommended a diet containing 10% minerals and at least 30% protein. In how many different ways can we prepare this diet by mixing at least two ingredients ?
As the diet should contain 10% minerals and only two ingredient contain 10 minerals i.e. O and Q. hence, only be mixing O and Q a diet with 10% minerals can be formed. Hence, there is only one way.
