Instructions

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.

Question 28

In what proportion P, Q and S should be mixed to make a diet having at least 60% carbohydrate at the lowest per unit cost?

Name: In what proportion P, Q and S should be mixed to make a diet having at least 60% carbohydrate at the lowest per unit cost?
Uploaded: 2024-07-22T10:46:47.745661+05:30
Duration: 15 min 11 s
Description: In what proportion P, Q and S should be mixed to make a diet having at least 60% carbohydrate at the lowest per unit cost?

Solution

P,Q,S contain 80%,10% and 45% carbohydrates respectively.
Option A,C and D does not contain 60% carbohydrates.

Option E: Carbohydrate %=[(4*80)+(1*10)+(1*45)]/6= 62.5%
Cost per unit=[(4*50)+(200)+100]/6=83.3

Option B: Carbohydrate %=[(4*80)+(1*20)+(2*45)]/7= 61.4%
Cost per unit=[(4*50)+(200)+(2*100)]/7=600/7=85.7