Answer:
$351,912.61
Explanation:
Data provided in the question:
function that models the rise in the cost of a product
C = $285,700
t = 14 years
r = 1.5% = 0.015
Now,
On substituting the respective values in the given function, we get
inflation-adjusted cost in 14 years i.e C(14) = $285,700(1 + 0.015)¹⁴
or
C(14) = $285,700 × 1.2317
or
C(14) = $351,912.61
Answer:
Suppose the cost per hour incurred in operating a cruise ship is 3a + b dollars per hour, where a and b are positive constants and v is the ship's speed in miles per hour. At what speed (in miles per hour) should the ship be operated between two ports, at a distance D miles apart, to minimize the cost? (Hint: Minimize the cost, not the cost per hour.)
<em>The speed at which the ship would maximize cost is </em>
Explanation:
The problem can be solved using differentiation to get the minimum value of the speed to travel between the two ports. Step by step calculation is contained in the attached images;
