In this work, we consider a harvested population in a randomly varying environment, modelled by a stochastic differential equation with Gompertz average natural growth. Previous research analysed several harvesting policies, including optimal variable effort and constant effort harvesting, in terms of harvesting effort and profit optimisation. An application was conducted using realistic data from Bangladesh’s shrimp fishing industry. However, the population parameters of the harvested species, as well as the economic exploitation parameters, are inevitably estimated with some degree of error. Here, using the same data set, we investigate the sensitivity of profit and harvesting effort to these parameters. We also examine the loss of profit that arises when using parameter values that deviate from the ‘true’ ones. These findings provide insight into which parameters should be prioritised for more precise estimation.