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11.  Study the following table and answer the questions.
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The number of students playing Badminton from School E is x% of the students playing Badminton From School B. Then x equal:

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Solution:
x% of 130=65x×130100=65x=50
12.  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.
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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

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Solution:
The required diet can be formed by mixing P and S or Q and S but the lowest cost per unit can be obtained by Q and S only.
13.  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.
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In what proportion P, Q and S should be mixed to make a diet having least 60% carbohydrate at the lowest per unit cost?

Discuss
Solution:
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
14.  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.
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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?

Discuss
Solution:
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.
15.  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.
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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 ?

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Solution:
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.
16.  Sarp Infotech Solutions Software Company before selling a package to its clients, follows the given schedule.
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Due to overrun in design, the stage took 3 months, i.e., months 3, 4 and 5. the number of people working on design in the fifth month was 5. Calculate the percentage change in cost incurred in the fifth month. (Due to improvement in Coding technique, this stage was completed in month 6-8 only.)

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Solution:
% change in the cost incurred in the fifth month,
=1000004000040000×100=150%
17.  Sarp Infotech Solutions Software Company before selling a package to its clients, follows the given schedule.
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With reference to the previous question, what is the cost incurred in the new Coding stage ? (Under new technique 4 people work in the sixth month and 5 in the eighth).

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Solution:
In new technique 5 people working in 5th month, 4 in 6th, 5 in 7th and 5 in 8th.
Total people working in this period = 19
Each get paid Rs. 10000,
Then total cost = Rs. 1,90,000
18.  Sarp Infotech Solutions Software Company before selling a package to its clients, follows the given schedule.
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What is the difference in cost between the old and new techniques ?

Discuss
Solution:
Difference between old and new technique,
= 190000 - 130000
= Rs. 60,000
19.  Sarp Infotech Solutions Software Company before selling a package to its clients, follows the given schedule.
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Under the new technique, which stage of software development is most expensive.

Discuss
Solution:
Cost incurred in specification stage,
= (80000 + 120000)
= Rs. 200000
Which is maximum cost.
20.  Sarp Infotech Solutions Software Company before selling a package to its clients, follows the given schedule.
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Which five consecutive months have the lowest average cost per month under new technique ?

Discuss
Solution:
Average cost is lowest for 11 - 15