The production Q of a certain gadget that can be achieved with K thousand dollars of operational budget is characterized byQ(K)=500K2/3 Let's suppose the operational budget changes over time in a manner such that t months from now

there will be K(t) thousand dollars of operational budget, where K(t) is described by:

K(t)=t+22t4+3t+149

a. What is expected to be the operational budget three months from now? How many gadgets are projected to be produced at that time?

b. What is the rate at which the production is changing with respect to time five months from now? Is the production likely to be increasing or decreasing at this time?