Question 1
The rate of expenditure on a particular machine is given by
where x is time measured in years. Maintenance costs through the second year are $96. Find the total maintenance function.
◦ M(x) = 5(x
2 + 5)
3/2 - 39
◦ M(x) = 5(x
2 + 5)
3/2 + 81
◦ M(x) = 15(x
2 + 5)
3/2 + 81
◦ M(x) = 15(x
2 + 5)
3/2 - 39
Question 2
The rate of growth of profit (in millions) from an invention is approximated by
where x represents time in years. The total profit in year 2 that the invention is in operation is $15,000. Find the total profit function P(x).
◦ P(x) = -0.5e
-x2+ 24,000
◦ P(x) = -
e
-x2- 24,000
◦ P(x) = -0.5e
-x2+ 0.024
◦ P(x) = -
e
-x2- 0.024