A small rural town has experienced a population decrease at a rate of 25 people every 5 years since 1970. If the population of t
1 answer:
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Notice that
Integrating term-by-term, you get
Answer:
a) optimum number of days for the job to last = 24 days
b) Total income for the optimum number of days = $2434.83
c) Total expenditures for the optimum number of days = $341.77
d) Maximum profit for the job = $2093.06
Step-by-step explanation:
a) Expenditure rate ,
Income rate
The job lasts for many days where the income is more than expenditure and job ends when both are equal.
The optimum number of days is the value of x where I'(x) = E'(x)
The optimum number of days for the job to last is 24 days
b)
Integrating both sides in the equation above:
Substituting into the equation above , The income for the optimum number of days becomes:
c)
Integrating the equation above:
Substituting into the above equation, expenditure for the optimum number of days is;
d) Maximum profit is 2434.83- 341.77=2093.06