+2 votes
in Mathematics by kratos

Suppose company need a computer for some ** of time. The company can either hire a computer for Rs. 2,000 per month or buy one for Rs. 25,000. If the company has to use the computer for a long **, the company will pay such a high rent, that buying a computer will be cheaper. On the other hand, if the company has to use the computer for say, just one month, then hiring a computer will be cheaper. For the number of months beyond which it will be cheaper to buy a computer.

1 Answer

+1 vote
by kratos
 
Best answer

Step 1. Formulation : We know that the company can hire a computer for Rs. 2,000 per month or the company can buy the compute for Rs. 25,000. The company has to use the computer for 0 just one month then the hiring the computer will be cheaper. Here we have find out number of months beyond which it will be cheaper to buy a computer.

Mathematical formulation : Let the number of months beyond which it will be cheaper to buy a compute = x months.

Rate of hiring computer = Rs. 2,000 per month

The amount of hiring a computer for x months = Rs. 2,000 x

The cost of the compute = Rs. 25,000

The company will not have to pay more if cost of computer is less than the hiring charges for computer.

Step 3. Interpretation :

If 25/2 <x. The least value of x is 13 month (more than 12(1/2)) It will be cheaper for the company to buy a computer if it has to hire a computer 13 months or more than 13 months.

we have assumed that :

(i) The rate of hiring a computer ** same throughout the *****.

(ii) After 13 months the cost of computer may not increase

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