Discuss the below:
Task:
You are managing a small assembly operation building toy cars. Due to increased demand, you need to hire an employee in addition to the two that are already building this line of toy assemblies.
a. Write a function for the time, T, that will be required for three employees to build N toy cars if it takes each of them t1, t2, and t3 minutes to build the N cars separately. Show any intermediate steps in deriving the formula
b. Rewrite the formula to calculate t3 given T, t1, and t2.
c. From your formula in (b), what will the new assembler's (#3) time need to be for T = 7.2 minutes , t1 = 20 minutes , and t2 = 25 minutes ? Answer with one decimal place.
d. If N=15 toys, how many toy cars can employee #3 build per minute, given his time in (c)?