A company has installed new machinery that will produce a savings rate (in thousands of dollars per year) ofS′(x) = 225 - x2,where x is the number of years the machinery is to be used. The rate of additional costs (in thousands of dollars per year) to the company due to the new machinery is expected to beC′(x) = x2 + 25x + 150.For how many years should the company use the new machinery? Find the net savings (in thousands of dollars) over this period.
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
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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.
A company has installed new machinery that will produce a savings rate (in thousands of dollars per year) of
S′(x) = 225 - x2,
where x is the number of years the machinery is to be used. The rate of additional costs (in thousands of dollars per year) to the company due to the new machinery is expected to be
C′(x) = x2 + 25x + 150.
For how many years should the company use the new machinery? Find the net savings (in thousands of dollars) over this period.
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