total_daily_cost {optistock}

Compute the total daily cost of raising hatchery fish

Description

This function takes the definite integral from time t = 0 until the given time of the daily_cost_fun. This integral is then the total cost of raising x number of fish until time given the other cost function parameters.

Usage

total_daily_cost(
  time,
  recruits,
  daily_cost,
  init_cost = 0,
  time_slope = 0,
  time_exp = 1,
  rec_slope = 1,
  rec_exp = 1,
  type = "multiplicative"
)

Arguments

time

The time at which fish are raised in hatchery

recruits

The number of recruits raised

daily_cost

Baseline daily cost to raise a single fish

init_cost

An intercept on the total cost function

time_slope

The slope term on the amount of time (see details)

time_exp

The exponent on the amount of time

rec_slope

The slope term on the number of recruits

rec_exp

The exponent on the number of recruits

type

Either multiply the number of recruits times the cost-at-time or add to it (see Details).

Value

The total cost across time to raise the number of recruits. This is simply the integral from time t = 0 until time of the daily_cost_fun function.

Examples

# total cost of raising 1000 fish for 100 days at given parameters
total_daily_cost(time = 100, recruits = 100,
           daily_cost = 0.05,
           time_slope = 0.01, time_exp = 1.2,
           rec_slope = 0.05, rec_exp = 1)