Maintenance costs for the apartment building generally increase as building agrs. From past records, it is evaluated that rate of increase in maintenance costs for this kind of building is estimated by
M'(x)= 90x^2 +5000
Where x is age of complex in years and M(x) is total accumulated cost of maintenance for x years. Write the definite integral which will give total maintenance costs from end of second year to end of seventh year of use and evaluate it.
B. Total accumulated cost(C(t)) and revenue (R(t)) in thousans of dollars for the automated laminating machine are provided below. Determine useful life of machine and how much total profit comes in over that useful life
C'(t)=3 and R'(t)= x^2 - 4x
C. Determine profit over useful life of machine.