Answer:
[tex]T(t) = 42000 + 21t[/tex]
Step-by-step explanation:
There are two costs for the operation of the equipment, the purchase cost and the hourly cost. The total cost is the sum of these two costs:
So
[tex]T = F_{c} + H_{c}[/tex]
In which [tex]F_{c}[/tex] is the fixed cost and [tex]H_{c}[/tex] is the hourly cost.
Fixed cost
A roofing contractor purchases a shingle delivery truck with a shingle elevator for $42,000. This means that the fixed cost is 42000. So [tex]F_{c} = 42000[/tex]
Hourly cost
The vehicle requires an average expenditure of $9.50 per hour for fuel and maintenance, and the operator is paid $11.50 per hour. So for each hour, there are expenses of 9.5 + 11.5 = $21.
So the hour cost is
[tex]H_{c}(t) = 21t[/tex]
In which t is the number of hours
Total cost
[tex]T = F_{c} + H_{c}[/tex]
[tex]T(t) = 42000 + 21t[/tex]
