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Directions for the following four questions:
A health-drink company’s R&D department is trying to make various diet formulations, which can be used for certain specific purposes. 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 O: 150, P: 50, Q: 200, R: 500, S: 100.
Which among the following is the formulation having the lowest cost per unit for a diet having 10% fat and at least 30% protein? The diet has to be formed by mixing two ingredients.
Option A: P and Q in 4:1 ratio gives fat 10% but the protein is 22%
Option B: P and S do not contain fat. Hence we wont analyse the option.
Option C: P and R in 3:1 ratio gives fat 10% but the protein is 27.5%
Option D: Q and S in 1:4 gives fat and protein as 10% and 46 %.
Cost of the mixture= [(1*200)+(4*100)]/5=120
Option E: R and S in 1:3 gives 10% fat and 50%protein.
Cost of the mixture= [(1*500)+(3*100)]/4=200
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