Your software company recently instituted a highly regarded training program

for newly hired software developers. The benefits of this program include not only the

benefits to employees, but also the goodwill generated by an increase in your reputation

among customers and professional groups. The costs of this training program include all

of the labor, space, and consultants necessary. Suppose these benefits and costs are given

by B(Q) = 100Q - 2Q² and C(Q) = 10Q, where Q represents the amount of hours each

software developer should spend in training. (Note that MB = 100-4Q, MC = 10, and

also that time can be measured in fractions of one hour.)

a. What level of Q maximizes the total benets of your newly introduced training pro-

gram?

b. What level of Q minimizes the total costs of the program?

c. What level of Q maximizes the net benefits?

d. What level of training is optimal? Why?