Part – A: A leading firm requires a software for its internal use. The firm wants to evaluate whether it is less costly to have its own programming staff and resources or to have programs developed by an external development firm. The cost of both options are a function of the number of lines of code. After the mathematical analysis it has been estimated that the in-house development will cost $1.75 per line of code. In addition, annual overhead costs for supporting the program will be $35000. While Software developed outside the firm costs, on average, $2.5 per line of code. How many lines of code per year make costs of the two options equal? If programming needs are estimated at 35000 lines per year, what are the costs of the two options? In part b what would the in-house cost per line of code have to equal for the two options to be equally costly?
Unitary Method
The word “unitary” comes from the word “unit”, which means a single and complete entity. In this method, we find the value of a unit product from the given number of products, and then we solve for the other number of products.
Speed, Time, and Distance
Imagine you and 3 of your friends are planning to go to the playground at 6 in the evening. Your house is one mile away from the playground and one of your friends named Jim must start at 5 pm to reach the playground by walk. The other two friends are 3 miles away.
Profit and Loss
The amount earned or lost on the sale of one or more items is referred to as the profit or loss on that item.
Units and Measurements
Measurements and comparisons are the foundation of science and engineering. We, therefore, need rules that tell us how things are measured and compared. For these measurements and comparisons, we perform certain experiments, and we will need the experiments to set up the devices.
Part – A: A leading firm requires a software for its internal use. The firm wants to evaluate whether it is less costly to have its own programming staff and resources or to have programs developed by an external development firm. The cost of both options are a function of the number of lines of code. After the mathematical analysis it has been estimated that the in-house development will cost $1.75 per line of code. In addition, annual overhead costs for supporting the program will be $35000. While Software developed outside the firm costs, on average, $2.5 per line of code.
- How many lines of code per year make costs of the two options equal?
- If programming needs are estimated at 35000 lines per year, what are the costs of the two options?
- In part b what would the in-house cost per line of code have to equal for the two options to be equally costly?
Part – B:
Because the parameters used in mathematical models are frequently estimates, actual results may differ from those projected by the aforementioned mathematical analysis in Part-A. To account for some of the uncertainties which may exist in a problem, analysts often conduct sensitivity analysis. The objective is to assess how much a solution might change if there are changes in model parameters. Assume that the software development costs by outside firms might actually fluctuate by ±15% from the $2.5 per-line estimate.
Re-compute the breakeven points if the costs are 15 percent higher or lower (compute for both the cases) and compare your results with the original answer in Part A.
Step by step
Solved in 4 steps
