Using the model developed in the previous section we can now use data for the values of the interest rate, the cost of storage, and the value of eggs at t=0 to find at what t profits are maximized. First the interest rate, r, will be based on the Martian average interest rate of 9% for the last 20 years. Further the value for eggs at t=0, K, has remained relatively stable at $3, and abundant storage opportunities withing the Martian storage industry have lead to a relatively low storage cost per year of $5 according to the Mars University Industrial Data Summary.
Plugging in these values, t can be estimated. From equation 5, it is clear that the function of t is a transcendental function. This necessitates the use of a root-finding algorithm to find t. Therefore Newton's method will be utilized to estimate t.